Edit Profile (opens in new tab) Paulino, Glaucio H. Co-Author Distance Author ID: paulino.glaucio-h Published as: Paulino, Glaucio H.; Paulino, G. H.; H. Paulino, Glaucio; Paulino, Glaucio more...less Documents Indexed: 121 Publications since 1993, including 1 Book and 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 115 Co-Authors with 121 Joint Publications 1,727 Co-Co-Authors all top 5 Co-Authors 0 single-authored 13 Chi, Heng 13 Talischi, Cameron 10 Menezes, Ivan F. M. 9 Gray, Leonard J. 9 Mukherjee, Subrata 8 Park, Kyoungsoo 8 Sutradhar, Alok 7 Chan, Youn-Sha 7 Kim, Jeongho 7 Silva, Emílio Carlos Nelli 5 Celes, Waldemar 5 Fannjiang, Albert C. 5 Pereira, Anderson 4 de Sturler, Eric 4 Gain, Arun L. 4 Lopez-Pamies, Oscar 3 Buttlar, William G. 3 Dodds, Robert H. jun. 3 Espinha, Rodrigo 3 Gattass, Marcelo 3 Giraldo-Londoño, Oliver 3 Le, Chau H. 3 Mirabella, Lucia 3 Nguyen, Tam H. 3 Song, Junho 3 Zhang, Xiaojia Shelly 2 Abel, John F. 2 Almeida, Sylvia R. M. 2 Beirão da Veiga, Lourenço 2 Chati, Mandar K. 2 Choi, Hyung Jip 2 Dalloro, Livio 2 Hsieh, Shang-Hsien 2 Kaplan, Theodore 2 Liu, Ke 2 Liu, Yijun 2 Liu, Yong 2 Menon, Govind K. 2 Phan, Anh-Vu 2 Ramos, Adeildo S. jun. 2 Tachi, Tomohiro 2 Tang, Tsz Ling Elaine 2 Wang, Shun 2 Ye, Wenjing 2 Zhang, Yuyu 2 Zhang, Zhengyu 1 Aguilo, Miguel A. 1 Albino, Juan C. R. 1 Alhadeff, A. 1 Almeida, Carlos Alberto Santos 1 Aluru, Narayana R. 1 Boakes, Norma 1 Bolitho, Mark 1 Budd, Christopher John 1 Carbonari, Ronny C. 1 Carroll, Jay 1 Carvalho, Marcio S. 1 Cavalcante-Neto, Joaquim B. 1 Chaves, Ricardo A. P. 1 Chen, Yan 1 Choi, Habeun 1 Duarte, Carlos Armando 1 Duarte, Leonardo S. 1 Dumont, Ney Augusto 1 Feng, Baofeng 1 Filipov, Evgueni T. 1 Frecker, Mary I. 1 Furgiuele, Franco 1 Gardoni, Paolo 1 Gortaire C., J. C. 1 Guest, Simon D. 1 Hull, Thomas C. 1 Klett, Yves 1 Lambros, John 1 Lang, Robert J. 1 Le Chau H. 1 Leon, S. E. 1 Li, Gang 1 Liang, Lihua 1 Liu, Cheng 1 Maletta, Carmine 1 Martha, Luiz Fernando 1 Mello, Luís Augusto Motta 1 Mitani, Jun 1 Mosalam, Khalid M. 1 Novelino, Larissa S. 1 Pardo, Jorge 1 Pereira, Jeronymo P. 1 Ramesh, Palghat S. 1 Ravichandran, Guruswami 1 Richardson, J. D. 1 Sacco, Elio 1 Saif, Muhammed T. A. 1 Sanders, Emily D. 1 Schenk, Mark 1 Senhora, Fernando V. 1 Shen, Bin 1 Shi, Fan 1 Shim, Do-Jun 1 Song, Le ...and 15 more Co-Authors all top 5 Serials 27 International Journal for Numerical Methods in Engineering 23 Computer Methods in Applied Mechanics and Engineering 10 Structural and Multidisciplinary Optimization 9 Journal of Applied Mechanics 7 International Journal of Fracture 6 International Journal of Solids and Structures 6 Engineering Analysis with Boundary Elements 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Mechanics Research Communications 3 Computational Mechanics 2 Journal of the Mechanics and Physics of Solids 2 Meccanica 2 SIAM Journal on Applied Mathematics 2 Communications in Numerical Methods in Engineering 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 Computers and Structures 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 International Journal of Plasticity 1 Finite Elements in Analysis and Design 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Science in China. Series E 1 Inverse Problems in Science and Engineering all top 5 Fields 106 Mechanics of deformable solids (74-XX) 33 Numerical analysis (65-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 2,645 times in 1,595 Documents Cited by ▼ Year ▼ PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab. Zbl 1274.74401 Talischi, Cameron; Paulino, Glaucio H.; Pereira, Anderson; Menezes, Ivan F. M. 276 2012 On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes. Zbl 1423.74095 Gain, Arun L.; Talischi, Cameron; Paulino, Glaucio H. 221 2014 Some basic formulations of the virtual element method (VEM) for finite deformations. Zbl 1439.74397 Chi, H.; da Veiga, L. Beirão; Paulino, G. H. 97 2017 Polygonal finite elements for topology optimization: a unifying paradigm. Zbl 1188.74072 Talischi, Cameron; Paulino, Glaucio H.; Pereira, Anderson; Menezes, Ivan F. M. 76 2010 Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method. Zbl 0995.80010 Sutradhar, Alok; Paulino, Glaucio H.; Gray, L. J. 71 2002 Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. Zbl 1110.74509 Kim, Jeong-Ho; Paulino, G. H. 68 2002 Large-scale topology optimization using preconditioned Krylov subspace methods with recycling. Zbl 1194.74265 Wang, Shun; de Sturler, Eric; Paulino, Glaucio H. 67 2007 PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes. Zbl 1274.74402 Talischi, Cameron; Paulino, Glaucio H.; Pereira, Anderson; Menezes, Ivan F. M. 62 2012 Symmetric Galerkin boundary element method. Zbl 1156.65101 Sutradhar, Alok; Paulino, Glaucio H.; Gray, Leonard J. 58 2008 A computational paradigm for multiresolution topology optimization (MTOP). Zbl 1274.74372 Nguyen, Tam H.; Paulino, Glaucio H.; Song, Junho; Le Chau H. 58 2010 Polygonal finite elements for finite elasticity. Zbl 1352.74044 Chi, Heng; Talischi, Cameron; Lopez-Pamies, Oscar; H. Paulino, Glaucio 53 2015 Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems. Zbl 1183.74305 Park, Kyoungsoo; Pereira, Jeronymo P.; Duarte, C. Armando; Paulino, Glaucio H. 52 2009 Finite element evaluation of mixed mode stress intensity factors in functionally graded materials. Zbl 1169.74612 Kim, Jeong-Ho; Paulino, Glaucio H. 50 2002 The simple boundary element method for transient heat conduction in functionally graded materials. Zbl 1073.80005 Sutradhar, Alok; Paulino, Glaucio H. 50 2004 Symmetric Galerkin boundary integral formulation for interface and multi-zone problems. Zbl 0905.73077 Gray, L. J.; Paulino, Glaucio H. 44 1997 Topology optimization using polytopes. Zbl 1423.74745 Gain, Arun L.; Paulino, Glaucio H.; Duarte, Leonardo S.; Menezes, Ivan F. M. 42 2015 Addressing integration error for polygonal finite elements through polynomial projections: a patch test connection. Zbl 1291.65349 Talischi, Cameron; Paulino, Glaucio H. 42 2014 Polygonal finite elements for incompressible fluid flow. Zbl 1455.76095 Talischi, Cameron; Pereira, Anderson; Paulino, Glaucio H.; Menezes, Ivan F. M.; Carvalho, Márcio S. 41 2014 Integral equations with hypersingular kernels–theory and applications to fracture mechanics. Zbl 1211.74184 Chan, Youn-Sha; Fannjiang, Albert C.; Paulino, Glaucio H. 39 2003 Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials. Zbl 1194.74319 Zhang, Zhengyu Jenny; Paulino, Glaucio H.; Celes, Waldemar 34 2007 A simple and effective gradient recovery scheme and a posteriori error estimator for the virtual element method (VEM). Zbl 1440.65194 Chi, Heng; Beirão da Veiga, Lourenço; Paulino, Glaucio H. 29 2019 Improving multiresolution topology optimization via multiple discretizations. Zbl 1352.49049 Nguyen, Tam H.; Paulino, Glaucio H.; Song, Junho; Le, Chau H. 29 2012 Dynamic stress intensity factors for homogeneous and smoothly heterogeneous materials using the interaction integral method. Zbl 1120.74520 Song, Seong Hyeok; Paulino, Glaucio H. 28 2006 Honeycomb Wachspress finite elements for structural topology optimization. Zbl 1274.74452 Talischi, Cameron; Paulino, Glaucio H.; Le, Chau H. 28 2009 On nonconvex meshes for elastodynamics using virtual element methods with explicit time integration. Zbl 1441.74269 Park, Kyoungsoo; Chi, Heng; Paulino, Glaucio H. 28 2019 Thermoelastic contact mechanics for a flat punch sliding over a graded coating/substrate system with frictional heat generation. Zbl 1171.74389 Choi, Hyung Jip; Paulino, Glaucio H. 26 2008 Green’s function for a two-dimensional exponentially graded elastic medium. Zbl 1095.74500 Chan, Youn-Sha; Gray, L. J.; Kaplan, T.; Paulino, Glaucio H. 26 2004 Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials. Zbl 1154.74391 Zhang, Zhengyu; Paulino, Glaucio H. 26 2005 Hypersingular residuals - a new approach for error estimation in the boundary element method. Zbl 0883.73082 Paulino, Glaucio H.; Gray, L. J.; Zarikian, Vrej 25 1996 A compact adjacency-based topological data structure for finite element mesh representation. Zbl 1122.74504 Celes, Waldemar; Paulino, Glaucio H.; Espinha, Rodrigo 25 2005 Gradient correction for polygonal and polyhedral finite elements. Zbl 1352.65554 Talischi, Cameron; Pereira, Anderson; Menezes, Ivan F. M.; Paulino, Glaucio H. 25 2015 Reduction in mesh bias for dynamic fracture using adaptive splitting of polygonal finite elements. Zbl 1352.74396 Leon, S. E.; Spring, D. W.; Paulino, G. H. 24 2014 Gradient elasticity theory for mode III fracture in functionally graded materials. I: Crack perpendicular to the material gradation. Zbl 1110.74622 Paulino, G. H.; Fannjiang, A. C.; Chan, Y.-S. 23 2003 Crack tip interpolation, revisited. Zbl 0949.74059 Gray, L. J.; Paulino, Glaucio H. 23 1998 Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading. Zbl 1075.74535 Walters, Matthew C.; Paulino, Glaucio H.; Dodds, Robert H. jun. 22 2004 Node and element resequencing using the Laplacian of a finite graph. I: General concepts and algorithm. II: Implementation and numerical results. Zbl 0805.73065 Paulino, Glaucio H.; Menezes, Ivan F. M.; Gattass, Marcelo; Mukherjee, Subrata 22 1994 Numerical recipes for elastodynamic virtual element methods with explicit time integration. Zbl 07841251 Park, Kyoungsoo; Chi, Heng; Paulino, Glaucio H. 22 2020 Strain gradient elasticity for antiplane shear cracks: A hypersingular integrodifferential equation approach. Zbl 1016.74058 Fannjiang, Albert C.; Chan, Youn-Sha; Paulino, Glaucio H. 21 2002 Green’s functions and boundary integral analysis for exponentially graded materials: Heat conduction. Zbl 1110.74461 Gray, L. J.; Kaplan, T.; Richardson, J. D.; Paulino, G. H. 21 2003 Analysis of hypersingular residual error estimates in boundary element methods for potential problems. Zbl 0932.65121 Menon, Govind; Paulino, Glaucio H.; Mukherjee, Subrata 19 1999 The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors. Zbl 1038.74608 Kim, Jeong-Ho; Paulino, Glaucio H. 19 2003 The crack problem for nonhomogeneous materials under antiplane shear loading – a displacement based formulation. Zbl 0971.74064 Chan, Youn-Sha; Paulino, Glaucio H.; Fannjiang, Albert C. 19 2001 Multi-material continuum topology optimization with arbitrary volume and mass constraints. Zbl 1440.74312 Sanders, Emily D.; Aguiló, Miguel A.; Paulino, Glaucio H. 19 2018 T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: A unified approach using the interaction integral method. Zbl 1173.74334 Kim, Jeong-Ho; Paulino, Glaucio H. 18 2003 Phase-field based topology optimization with polygonal elements: a finite volume approach for the evolution equation. Zbl 1274.74332 Gain, Arun L.; Paulino, Glaucio H. 18 2012 Multi-actuated functionally graded piezoelectric micro-tools design: A multiphysics topology optimization approach. Zbl 1155.74391 Carbonari, Ronny C.; Silva, Emílio C. N.; Paulino, Glaucio H. 18 2009 Adaptive mesh refinement and coarsening for cohesive zone modeling of dynamic fracture. Zbl 1352.74469 Park, Kyoungsoo; Paulino, Glaucio H.; Celes, Waldemar; Espinha, Rodrigo 18 2012 Correspondence principle in viscoelastic functionally graded materials. Zbl 1110.74623 Paulino, G. H.; Jin, Z.-H. 17 2001 Consistent formulations of the interaction integral method for fracture of functionally graded materials. Zbl 1111.74481 Kim, Jeong-Ho; Paulino, Glaucio H. 16 2005 A simple boundary element method for problems of potential in non-homogeneous media. Zbl 1070.80005 Sutradhar, Alok; Paulino, Glaucio H. 16 2004 The meshless standard and hypersingular boundary node methods – applications to error estimation and adaptivity in three-dimensional problems. Zbl 0988.74073 Chati, Mandar K.; Paulino, Glaucio H.; Mukherjee, Subrata 16 2001 Layout and material gradation in topology optimization of functionally graded structures: a global-local approach. Zbl 1274.74305 Almeida, Sylvia R. M.; Paulino, Glaucio H.; Silva, Emilio C. N. 16 2010 A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme. Zbl 1436.74065 Chi, Heng; Talischi, Cameron; Lopez-Pamies, Oscar; Paulino, Glaucio H. 15 2016 Recycling Krylov subspaces for efficient large-scale electrical impedance tomography. Zbl 1225.92026 Mello, Luís Augusto Motta; De Sturler, Eric; Paulino, Glaucio H.; Silva, Emílio Carlos Nelli 14 2010 An accurate scheme for mixed-mode fracture analysis of functionally graded materials using the interaction integral and micromechanics models. Zbl 1032.74668 Kim, Jeong-Ho; Paulino, Glaucio H. 14 2003 Single-loop system reliability-based topology optimization considering statistical dependence between limit-states. Zbl 1274.74373 Nguyen, Tam H.; Song, Junho; Paulino, Glaucio H. 14 2011 Universal machine learning for topology optimization. Zbl 1506.74267 Chi, Heng; Zhang, Yuyu; Tang, Tsz Ling Elaine; Mirabella, Lucia; Dalloro, Livio; Song, Le; Paulino, Glaucio H. 14 2021 A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker-Prager, Tresca, Mohr-Coulomb, Bresler-Pister and Willam-Warnke. Zbl 1472.74179 Giraldo-Londoño, Oliver; Paulino, Glaucio H. 14 2020 Multi-material thermomechanical topology optimization with applications to additive manufacturing: design of main composite part and its support structure. Zbl 1436.74056 Giraldo-Londoño, Oliver; Mirabella, Lucia; Dalloro, Livio; Paulino, Glaucio H. 14 2020 Micromechanics-based thermoelastic model for functionally graded particulate materials with particle interactions. Zbl 1171.74004 Yin, H. M.; Paulino, G. H.; Buttlar, W. G.; Sun, L. Z. 13 2007 Symmetric Galerkin boundary element computation of \(T\)-stress and stress intensity factors for mixed-mode cracks by the interaction integral method. Zbl 1158.74517 Sutradhar, Alok; Paulino, Glaucio H. 13 2004 Adaptive dynamic cohesive fracture simulation using nodal perturbation and edge-swap operators. Zbl 1202.74148 Paulino, Glaucio H.; Park, Kyoungsoo; Celes, Waldemar; Espinha, Rodrigo 13 2010 Adaptive multi-material topology optimization with hyperelastic materials under large deformations: a virtual element approach. Zbl 1506.74314 Zhang, Xiaojia Shelly; Chi, Heng; Paulino, Glaucio H. 13 2020 Wave propagation and dynamic analysis of smoothly graded heterogeneous continua using graded finite elements. Zbl 1182.74128 Zhang, Zhengyu (Jenny); Paulino, Glaucio H. 12 2007 Nonlinear mechanics of non-rigid origami: an efficient computational approach! Zbl 1404.74105 Liu, K.; Paulino, G. H. 12 2017 Nodal sensitivities as error estimates in computational mechanics. Zbl 0878.73078 Paulino, G. H.; Shi, F.; Mukherjee, S.; Ramesh, P. 12 1997 B-bar virtual element method for nearly incompressible and compressible materials. Zbl 1520.74084 Park, Kyoungsoo; Chi, Heng; Paulino, Glaucio H. 12 2021 Viscoelastic functionally graded materials subjected to antiplane shear fracture. Zbl 1110.74624 Paulino, G. H.; Jin, Z.-H. 11 2001 The elastic-viscoelastic correspondence principle for functionally graded materials, revisited. Zbl 1110.74593 Mukherjee, S.; Paulino, Glaucio H. 11 2003 The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems. Zbl 1065.74626 Chati, Mandar K.; Mukherjee, Subrata; Paulino, Glaucio H. 11 2001 Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity. Zbl 0887.73070 Gray, L. J.; Paulino, G. H. 11 1997 T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms. Zbl 1187.74183 Kim, Jeong-Ho; Paulino, Glaucio H. 11 2004 Optimal design of periodic functionally graded composites with prescribed properties. Zbl 1274.74289 Paulino, Glaucio H.; Silva, Emílio Carlos Nelli; Le, Chau H. 11 2009 Finite element investigation of quasi-static crack growth in functionally graded materials using a novel cohesive zone fracture model. Zbl 1110.74499 Jin, Z.-H.; Paulino, G. H.; Dodds, R. H. jun. 10 2002 On hypersingular surface integrals in the symmetric Galerkin boundary element method: application to heat conduction in exponentially graded materials. Zbl 1087.80007 Sutradhar, Alok; Paulino, Glaucio H.; Gray, L. J. 10 2005 Interfacial cracking in a graded coating/substrate system loaded by a frictional sliding flat punch. Zbl 1195.74146 Choi, Hyung Jip; Paulino, Glaucio H. 9 2010 A simple and effective inverse projection scheme for void distribution control in topology optimization. Zbl 1274.74304 Almeida, S. R. M.; Paulino, G. H.; Silva, E. C. N. 9 2010 Design of functionally graded piezocomposites using topology optimization and homogenization – toward effective energy harvesting materials. Zbl 1286.74079 Vatanabe, S. L.; Paulino, G. H.; Silva, E. C. N. 9 2013 A finite elastic body with a curved crack loaded in anti-plane shear. Zbl 0786.73081 Paulino, Glaucio H.; Saif, Muhammed T. A.; Mukherjee, Subrata 8 1993 An operator splitting algorithm for Tikhonov-regularized topology optimization. Zbl 1297.74090 Talischi, Cameron; Paulino, Glaucio H. 8 2013 Stochastic sampling for deterministic structural topology optimization with many load cases: density-based and ground structure approaches. Zbl 1439.74314 Zhang, Xiaojia Shelly; de Sturler, Eric; Paulino, Glaucio H. 8 2017 Evaluation of automatic domain partitioning algorithms for parallel finite element analysis. Zbl 0889.73067 Hsieh, Shang-Hsien; Paulino, Glaucio H.; Abel, John F. 7 1997 A methodology for adaptive finite element analysis: Towards an integrated computational environment. Zbl 0935.74070 Paulino, G. H.; Menezes, I. F. M.; Cavalcante Neto, J. B.; Martha, L. F. 6 1999 Coupling of the mesh-free finite cloud method with the boundary element method: a collocation approach. Zbl 1074.74058 Li, Gang; Paulino, Glaucio H.; Aluru, N. R. 6 2003 Geometric nonlinear analyses of functionally graded beams using a tailored Lagrangian formulation. Zbl 1272.74372 Almeida, Carlos A.; Albino, Juan C. R.; Menezes, Ivan F. M.; Paulino, Glaucio H. 6 2011 An explicit elastic solution for a brittle film with periodic cracks. Zbl 1273.74486 Yin, H. M.; Paulino, G. H.; Buttlar, W. G. 6 2008 Implicit consistent and continuum tangent operators in elastoplastic boundary element formulations. Zbl 1012.74079 Paulino, Glaucio H.; Liu, Yong 5 2001 Truss layout optimization within a continuum. Zbl 1274.74423 Zegard, Tomás; Paulino, Glaucio H. 5 2013 Multimaterial topology optimization with multiple volume constraints: combining the ZPR update with a ground-structure algorithm to select a single material per overlapping set. Zbl 07878349 Zhang, Xiaojia Shelly; Paulino, Glaucio H.; Ramos, Adeildo S. jun. 5 2018 Recursive spectral algorithms for automatic domain partitioning in parallel finite element analysis. Zbl 0852.73060 Hsieh, Shang-Hsien; Paulino, Glaucio H.; Abel, John F. 4 1995 Change of constitutive relations due to interaction between strain-gradient effect and material gradation. Zbl 1111.74347 Chan, Youn-Sha; Paulino, Glaucio H.; Fannjiang, Albert C. 4 2006 A hybrid experimental/numerical technique to extract cohesive fracture properties for mode-I fracture of quasi-brittle materials. Zbl 1283.74060 Gain, Arun L.; Carroll, Jay; Paulino, Glaucio H.; Lambros, John 4 2011 Origami tubes with reconfigurable polygonal cross-sections. Zbl 1371.52014 Filipov, E. T.; Paulino, G. H.; Tachi, T. 4 2016 Fractional topology optimization of periodic multi-material viscoelastic microstructures with tailored energy dissipation. Zbl 1506.74276 Giraldo-Londoño, Oliver; Paulino, Glaucio H. 4 2020 A variational formulation with rigid-body constraints for finite elasticity: theory, finite element implementation, and applications. Zbl 1359.74039 Chi, Heng; Lopez-Pamies, Oscar; Paulino, Glaucio H. 4 2016 Material nonlinear topology optimization considering the von Mises criterion through an asymptotic approach: max strain energy and max load factor formulations. Zbl 07865199 Zhao, Tuo; Ramos, Adeildo S. jun.; Paulino, Glaucio H. 4 2019 Optimization of material distribution in functionally graded structures with stress constraints. Zbl 1114.74046 Stump, Fernando V.; Silva, Emílio C. N.; Paulino, Glaucio H. 3 2007 Mode I fracture of adhesive joints using tailored cohesive zone models. Zbl 1308.74135 Alfano, M.; Furgiuele, F.; Leonardi, A.; Maletta, C.; Paulino, G. H. 3 2009 Inverse computation of cohesive fracture properties from displacement fields. Zbl 1428.74195 Shen, Bin; Stanciulescu, Ilinca; Paulino, Glaucio H. 3 2010 A new algorithm for finding a pseudoperipheral vertex or the endpoints of a pseudodiameter in a graph. Zbl 0834.05039 Paulino, Glaucio H.; Menezes, Ivan F. M.; Gattass, Marcelo; Mukherjee, Subrata 3 1994 Machine learning for topology optimization: physics-based learning through an independent training strategy. Zbl 1507.74329 Senhora, Fernando V.; Chi, Heng; Zhang, Yuyu; Mirabella, Lucia; Tang, Tsz Ling Elaine; Paulino, Glaucio H. 3 2022 Universal machine learning for topology optimization. Zbl 1506.74267 Chi, Heng; Zhang, Yuyu; Tang, Tsz Ling Elaine; Mirabella, Lucia; Dalloro, Livio; Song, Le; Paulino, Glaucio H. 14 2021 B-bar virtual element method for nearly incompressible and compressible materials. Zbl 1520.74084 Park, Kyoungsoo; Chi, Heng; Paulino, Glaucio H. 12 2021 Computational morphogenesis: morphologic constructions using polygonal discretizations. Zbl 07863061 Choi, Habeun; Chi, Heng; Park, Kyoungsoo; Paulino, Glaucio H. 1 2021 Numerical recipes for elastodynamic virtual element methods with explicit time integration. Zbl 07841251 Park, Kyoungsoo; Chi, Heng; Paulino, Glaucio H. 22 2020 A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker-Prager, Tresca, Mohr-Coulomb, Bresler-Pister and Willam-Warnke. Zbl 1472.74179 Giraldo-Londoño, Oliver; Paulino, Glaucio H. 14 2020 Multi-material thermomechanical topology optimization with applications to additive manufacturing: design of main composite part and its support structure. Zbl 1436.74056 Giraldo-Londoño, Oliver; Mirabella, Lucia; Dalloro, Livio; Paulino, Glaucio H. 14 2020 Adaptive multi-material topology optimization with hyperelastic materials under large deformations: a virtual element approach. Zbl 1506.74314 Zhang, Xiaojia Shelly; Chi, Heng; Paulino, Glaucio H. 13 2020 Fractional topology optimization of periodic multi-material viscoelastic microstructures with tailored energy dissipation. Zbl 1506.74276 Giraldo-Londoño, Oliver; Paulino, Glaucio H. 4 2020 A simple and effective gradient recovery scheme and a posteriori error estimator for the virtual element method (VEM). Zbl 1440.65194 Chi, Heng; Beirão da Veiga, Lourenço; Paulino, Glaucio H. 29 2019 On nonconvex meshes for elastodynamics using virtual element methods with explicit time integration. Zbl 1441.74269 Park, Kyoungsoo; Chi, Heng; Paulino, Glaucio H. 28 2019 Material nonlinear topology optimization considering the von Mises criterion through an asymptotic approach: max strain energy and max load factor formulations. Zbl 07865199 Zhao, Tuo; Ramos, Adeildo S. jun.; Paulino, Glaucio H. 4 2019 Multi-material continuum topology optimization with arbitrary volume and mass constraints. Zbl 1440.74312 Sanders, Emily D.; Aguiló, Miguel A.; Paulino, Glaucio H. 19 2018 Multimaterial topology optimization with multiple volume constraints: combining the ZPR update with a ground-structure algorithm to select a single material per overlapping set. Zbl 07878349 Zhang, Xiaojia Shelly; Paulino, Glaucio H.; Ramos, Adeildo S. jun. 5 2018 Some basic formulations of the virtual element method (VEM) for finite deformations. Zbl 1439.74397 Chi, H.; da Veiga, L. Beirão; Paulino, G. H. 97 2017 Nonlinear mechanics of non-rigid origami: an efficient computational approach! Zbl 1404.74105 Liu, K.; Paulino, G. H. 12 2017 Stochastic sampling for deterministic structural topology optimization with many load cases: density-based and ground structure approaches. Zbl 1439.74314 Zhang, Xiaojia Shelly; de Sturler, Eric; Paulino, Glaucio H. 8 2017 A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme. Zbl 1436.74065 Chi, Heng; Talischi, Cameron; Lopez-Pamies, Oscar; Paulino, Glaucio H. 15 2016 Origami tubes with reconfigurable polygonal cross-sections. Zbl 1371.52014 Filipov, E. T.; Paulino, G. H.; Tachi, T. 4 2016 A variational formulation with rigid-body constraints for finite elasticity: theory, finite element implementation, and applications. Zbl 1359.74039 Chi, Heng; Lopez-Pamies, Oscar; Paulino, Glaucio H. 4 2016 Polygonal finite elements for finite elasticity. Zbl 1352.74044 Chi, Heng; Talischi, Cameron; Lopez-Pamies, Oscar; H. Paulino, Glaucio 53 2015 Topology optimization using polytopes. Zbl 1423.74745 Gain, Arun L.; Paulino, Glaucio H.; Duarte, Leonardo S.; Menezes, Ivan F. M. 42 2015 Gradient correction for polygonal and polyhedral finite elements. Zbl 1352.65554 Talischi, Cameron; Pereira, Anderson; Menezes, Ivan F. M.; Paulino, Glaucio H. 25 2015 Mapping cohesive fracture and fragmentation simulations to graphics processor units. Zbl 1352.65671 Alhadeff, A.; Celes, W.; Paulino, G. H. 1 2015 On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes. Zbl 1423.74095 Gain, Arun L.; Talischi, Cameron; Paulino, Glaucio H. 221 2014 Addressing integration error for polygonal finite elements through polynomial projections: a patch test connection. Zbl 1291.65349 Talischi, Cameron; Paulino, Glaucio H. 42 2014 Polygonal finite elements for incompressible fluid flow. Zbl 1455.76095 Talischi, Cameron; Pereira, Anderson; Paulino, Glaucio H.; Menezes, Ivan F. M.; Carvalho, Márcio S. 41 2014 Reduction in mesh bias for dynamic fracture using adaptive splitting of polygonal finite elements. Zbl 1352.74396 Leon, S. E.; Spring, D. W.; Paulino, G. H. 24 2014 Design of functionally graded piezocomposites using topology optimization and homogenization – toward effective energy harvesting materials. Zbl 1286.74079 Vatanabe, S. L.; Paulino, G. H.; Silva, E. C. N. 9 2013 An operator splitting algorithm for Tikhonov-regularized topology optimization. Zbl 1297.74090 Talischi, Cameron; Paulino, Glaucio H. 8 2013 Truss layout optimization within a continuum. Zbl 1274.74423 Zegard, Tomás; Paulino, Glaucio H. 5 2013 PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab. Zbl 1274.74401 Talischi, Cameron; Paulino, Glaucio H.; Pereira, Anderson; Menezes, Ivan F. M. 276 2012 PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes. Zbl 1274.74402 Talischi, Cameron; Paulino, Glaucio H.; Pereira, Anderson; Menezes, Ivan F. M. 62 2012 Improving multiresolution topology optimization via multiple discretizations. Zbl 1352.49049 Nguyen, Tam H.; Paulino, Glaucio H.; Song, Junho; Le, Chau H. 29 2012 Phase-field based topology optimization with polygonal elements: a finite volume approach for the evolution equation. Zbl 1274.74332 Gain, Arun L.; Paulino, Glaucio H. 18 2012 Adaptive mesh refinement and coarsening for cohesive zone modeling of dynamic fracture. Zbl 1352.74469 Park, Kyoungsoo; Paulino, Glaucio H.; Celes, Waldemar; Espinha, Rodrigo 18 2012 Single-loop system reliability-based topology optimization considering statistical dependence between limit-states. Zbl 1274.74373 Nguyen, Tam H.; Song, Junho; Paulino, Glaucio H. 14 2011 Geometric nonlinear analyses of functionally graded beams using a tailored Lagrangian formulation. Zbl 1272.74372 Almeida, Carlos A.; Albino, Juan C. R.; Menezes, Ivan F. M.; Paulino, Glaucio H. 6 2011 A hybrid experimental/numerical technique to extract cohesive fracture properties for mode-I fracture of quasi-brittle materials. Zbl 1283.74060 Gain, Arun L.; Carroll, Jay; Paulino, Glaucio H.; Lambros, John 4 2011 Parallel computing of wave propagation in three-dimensional functionally graded media. Zbl 1272.74621 Park, Kyoungsoo; Paulino, Glaucio H. 1 2011 Polygonal finite elements for topology optimization: a unifying paradigm. Zbl 1188.74072 Talischi, Cameron; Paulino, Glaucio H.; Pereira, Anderson; Menezes, Ivan F. M. 76 2010 A computational paradigm for multiresolution topology optimization (MTOP). Zbl 1274.74372 Nguyen, Tam H.; Paulino, Glaucio H.; Song, Junho; Le Chau H. 58 2010 Layout and material gradation in topology optimization of functionally graded structures: a global-local approach. Zbl 1274.74305 Almeida, Sylvia R. M.; Paulino, Glaucio H.; Silva, Emilio C. N. 16 2010 Recycling Krylov subspaces for efficient large-scale electrical impedance tomography. Zbl 1225.92026 Mello, Luís Augusto Motta; De Sturler, Eric; Paulino, Glaucio H.; Silva, Emílio Carlos Nelli 14 2010 Adaptive dynamic cohesive fracture simulation using nodal perturbation and edge-swap operators. Zbl 1202.74148 Paulino, Glaucio H.; Park, Kyoungsoo; Celes, Waldemar; Espinha, Rodrigo 13 2010 Interfacial cracking in a graded coating/substrate system loaded by a frictional sliding flat punch. Zbl 1195.74146 Choi, Hyung Jip; Paulino, Glaucio H. 9 2010 A simple and effective inverse projection scheme for void distribution control in topology optimization. Zbl 1274.74304 Almeida, S. R. M.; Paulino, G. H.; Silva, E. C. N. 9 2010 Inverse computation of cohesive fracture properties from displacement fields. Zbl 1428.74195 Shen, Bin; Stanciulescu, Ilinca; Paulino, Glaucio H. 3 2010 Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems. Zbl 1183.74305 Park, Kyoungsoo; Pereira, Jeronymo P.; Duarte, C. Armando; Paulino, Glaucio H. 52 2009 Honeycomb Wachspress finite elements for structural topology optimization. Zbl 1274.74452 Talischi, Cameron; Paulino, Glaucio H.; Le, Chau H. 28 2009 Multi-actuated functionally graded piezoelectric micro-tools design: A multiphysics topology optimization approach. Zbl 1155.74391 Carbonari, Ronny C.; Silva, Emílio C. N.; Paulino, Glaucio H. 18 2009 Optimal design of periodic functionally graded composites with prescribed properties. Zbl 1274.74289 Paulino, Glaucio H.; Silva, Emílio Carlos Nelli; Le, Chau H. 11 2009 Mode I fracture of adhesive joints using tailored cohesive zone models. Zbl 1308.74135 Alfano, M.; Furgiuele, F.; Leonardi, A.; Maletta, C.; Paulino, G. H. 3 2009 Symmetric Galerkin boundary element method. Zbl 1156.65101 Sutradhar, Alok; Paulino, Glaucio H.; Gray, Leonard J. 58 2008 Thermoelastic contact mechanics for a flat punch sliding over a graded coating/substrate system with frictional heat generation. Zbl 1171.74389 Choi, Hyung Jip; Paulino, Glaucio H. 26 2008 An explicit elastic solution for a brittle film with periodic cracks. Zbl 1273.74486 Yin, H. M.; Paulino, G. H.; Buttlar, W. G. 6 2008 Heat flux field for one spherical inhomogeneity embedded in a functionally graded material matrix. Zbl 1143.80336 Yin, H. M.; Paulino, G. H.; Buttlar, W. G.; Sun, L. Z. 2 2008 Large-scale topology optimization using preconditioned Krylov subspace methods with recycling. Zbl 1194.74265 Wang, Shun; de Sturler, Eric; Paulino, Glaucio H. 67 2007 Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials. Zbl 1194.74319 Zhang, Zhengyu Jenny; Paulino, Glaucio H.; Celes, Waldemar 34 2007 Micromechanics-based thermoelastic model for functionally graded particulate materials with particle interactions. Zbl 1171.74004 Yin, H. M.; Paulino, G. H.; Buttlar, W. G.; Sun, L. Z. 13 2007 Wave propagation and dynamic analysis of smoothly graded heterogeneous continua using graded finite elements. Zbl 1182.74128 Zhang, Zhengyu (Jenny); Paulino, Glaucio H. 12 2007 Optimization of material distribution in functionally graded structures with stress constraints. Zbl 1114.74046 Stump, Fernando V.; Silva, Emílio C. N.; Paulino, Glaucio H. 3 2007 Dynamic stress intensity factors for homogeneous and smoothly heterogeneous materials using the interaction integral method. Zbl 1120.74520 Song, Seong Hyeok; Paulino, Glaucio H. 28 2006 Change of constitutive relations due to interaction between strain-gradient effect and material gradation. Zbl 1111.74347 Chan, Youn-Sha; Paulino, Glaucio H.; Fannjiang, Albert C. 4 2006 The simple boundary element method for multiple cracks in functionally graded media governed by potential theory: A three-dimensional Galerkin approach. Zbl 1120.74054 Paulino, Glaucio H.; Sutradhar, Alok 3 2006 \(J\) resistance behavior in functionally graded materials using cohesive zone and modified boundary layer models. Zbl 1197.74132 Shim, Do-Jun; Paulino, Glaucio H.; Dodds, Robert H. jun. 2 2006 Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials. Zbl 1154.74391 Zhang, Zhengyu; Paulino, Glaucio H. 26 2005 A compact adjacency-based topological data structure for finite element mesh representation. Zbl 1122.74504 Celes, Waldemar; Paulino, Glaucio H.; Espinha, Rodrigo 25 2005 Consistent formulations of the interaction integral method for fracture of functionally graded materials. Zbl 1111.74481 Kim, Jeong-Ho; Paulino, Glaucio H. 16 2005 On hypersingular surface integrals in the symmetric Galerkin boundary element method: application to heat conduction in exponentially graded materials. Zbl 1087.80007 Sutradhar, Alok; Paulino, Glaucio H.; Gray, L. J. 10 2005 A crack in the homogeneous half plane interacting with a crack at the interface between the nonhomogeneous coating and the homogeneous half-plane. Zbl 1196.74216 Theotokoglou, E. E.; Paulino, G. H. 1 2005 The simple boundary element method for transient heat conduction in functionally graded materials. Zbl 1073.80005 Sutradhar, Alok; Paulino, Glaucio H. 50 2004 Green’s function for a two-dimensional exponentially graded elastic medium. Zbl 1095.74500 Chan, Youn-Sha; Gray, L. J.; Kaplan, T.; Paulino, Glaucio H. 26 2004 Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading. Zbl 1075.74535 Walters, Matthew C.; Paulino, Glaucio H.; Dodds, Robert H. jun. 22 2004 A simple boundary element method for problems of potential in non-homogeneous media. Zbl 1070.80005 Sutradhar, Alok; Paulino, Glaucio H. 16 2004 Symmetric Galerkin boundary element computation of \(T\)-stress and stress intensity factors for mixed-mode cracks by the interaction integral method. Zbl 1158.74517 Sutradhar, Alok; Paulino, Glaucio H. 13 2004 T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms. Zbl 1187.74183 Kim, Jeong-Ho; Paulino, Glaucio H. 11 2004 Integral equations with hypersingular kernels–theory and applications to fracture mechanics. Zbl 1211.74184 Chan, Youn-Sha; Fannjiang, Albert C.; Paulino, Glaucio H. 39 2003 Gradient elasticity theory for mode III fracture in functionally graded materials. I: Crack perpendicular to the material gradation. Zbl 1110.74622 Paulino, G. H.; Fannjiang, A. C.; Chan, Y.-S. 23 2003 Green’s functions and boundary integral analysis for exponentially graded materials: Heat conduction. Zbl 1110.74461 Gray, L. J.; Kaplan, T.; Richardson, J. D.; Paulino, G. H. 21 2003 The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors. Zbl 1038.74608 Kim, Jeong-Ho; Paulino, Glaucio H. 19 2003 T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: A unified approach using the interaction integral method. Zbl 1173.74334 Kim, Jeong-Ho; Paulino, Glaucio H. 18 2003 An accurate scheme for mixed-mode fracture analysis of functionally graded materials using the interaction integral and micromechanics models. Zbl 1032.74668 Kim, Jeong-Ho; Paulino, Glaucio H. 14 2003 The elastic-viscoelastic correspondence principle for functionally graded materials, revisited. Zbl 1110.74593 Mukherjee, S.; Paulino, Glaucio H. 11 2003 Coupling of the mesh-free finite cloud method with the boundary element method: a collocation approach. Zbl 1074.74058 Li, Gang; Paulino, Glaucio H.; Aluru, N. R. 6 2003 Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method. Zbl 0995.80010 Sutradhar, Alok; Paulino, Glaucio H.; Gray, L. J. 71 2002 Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. Zbl 1110.74509 Kim, Jeong-Ho; Paulino, G. H. 68 2002 Finite element evaluation of mixed mode stress intensity factors in functionally graded materials. Zbl 1169.74612 Kim, Jeong-Ho; Paulino, Glaucio H. 50 2002 Strain gradient elasticity for antiplane shear cracks: A hypersingular integrodifferential equation approach. Zbl 1016.74058 Fannjiang, Albert C.; Chan, Youn-Sha; Paulino, Glaucio H. 21 2002 Finite element investigation of quasi-static crack growth in functionally graded materials using a novel cohesive zone fracture model. Zbl 1110.74499 Jin, Z.-H.; Paulino, G. H.; Dodds, R. H. jun. 10 2002 The hybrid boundary element method applied to functionally graded materials. Zbl 1086.74531 Dumont, N. A.; Chaves, R. A. P.; Paulino, G. H. 1 2002 The crack problem for nonhomogeneous materials under antiplane shear loading – a displacement based formulation. Zbl 0971.74064 Chan, Youn-Sha; Paulino, Glaucio H.; Fannjiang, Albert C. 19 2001 Correspondence principle in viscoelastic functionally graded materials. Zbl 1110.74623 Paulino, G. H.; Jin, Z.-H. 17 2001 The meshless standard and hypersingular boundary node methods – applications to error estimation and adaptivity in three-dimensional problems. Zbl 0988.74073 Chati, Mandar K.; Paulino, Glaucio H.; Mukherjee, Subrata 16 2001 Viscoelastic functionally graded materials subjected to antiplane shear fracture. Zbl 1110.74624 Paulino, G. H.; Jin, Z.-H. 11 2001 The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems. Zbl 1065.74626 Chati, Mandar K.; Mukherjee, Subrata; Paulino, Glaucio H. 11 2001 Implicit consistent and continuum tangent operators in elastoplastic boundary element formulations. Zbl 1012.74079 Paulino, Glaucio H.; Liu, Yong 5 2001 Error estimation using hypersingular integrals in boundary element methods for linear elasticity. Zbl 1065.74630 Paulino, Glaucio H.; Menon, Govind; Mukherjee, Subrata 1 2001 Elasto-viscoplatic consistent tangent operator concept-based implicit boundary element methods. Zbl 0981.74074 Liu, Yong; Paulino, Glaucio H.; Liang, Lihua 2 2000 Analysis of hypersingular residual error estimates in boundary element methods for potential problems. Zbl 0932.65121 Menon, Govind; Paulino, Glaucio H.; Mukherjee, Subrata 19 1999 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,601 Authors 79 Paulino, Glaucio H. 41 Beirão da Veiga, Lourenço 27 Antonietti, Paola Francesca 27 Natarajan, Sundararajan 26 Wriggers, Peter 25 Russo, Alessandro 24 Manzini, Gianmarco 20 Gray, Leonard J. 19 Sladek, Jan 19 Sladek, Vladimir 19 Zhang, Chuanzeng 18 Verani, Marco 17 Sukumar, Natarajan 17 Zhao, Jikun 16 Artioli, Edoardo 16 Dassi, Franco 16 Hudobivnik, Blaž 16 Lovadina, Carlo 16 Vacca, Giuseppe 15 Silva, Emílio Carlos Nelli 14 Mukherjee, Subrata 14 Song, Chongmin 13 Chi, Heng 13 Nguyen-Xuan, Hung 13 Phan, Anh-Vu 13 Talischi, Cameron 12 Brezzi, Franco 12 de Sturler, Eric 12 Marini, Luisa Donatella 12 Qin, Qinghua 12 Rabczuk, Timon 12 Sigmund, Ole 12 Wang, Gang 12 Wen, Pihua 12 Zhang, Bei 11 Gao, Xiaowei 11 Mantič, Vladislav 11 Mascotto, Lorenzo 11 Ooi, Ean Tat 11 Park, Kyoungsoo 10 Aldakheel, Fadi 10 Bui, Tinh Quoc 10 Huang, Jianguo 10 Mora, David 10 Wang, Fei 9 Chen, Zhangxin 9 Duarte, Carlos Armando 9 Gao, Liang 9 He, Yinnian 9 Kang, Zhan 9 Liu, Xin 9 Sacco, Elio 9 Vodička, Roman 9 Yang, Kai 9 Zhuang, Xiaoying 8 Bertoluzza, Silvia 8 Botti, Michele 8 Fu, Zhuojia 8 Menezes, Ivan F. 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