Edit Profile (opens in new tab) Silling, Stewart A. Compute Distance To: Compute Author ID: silling.stewart-a Published as: Silling, S. A.; Silling, Stewart A.; Silling, Stewart more...less External Links: MGP Documents Indexed: 30 Publications since 1987 1 Contribution as Editor Co-Authors: 26 Co-Authors with 17 Joint Publications 499 Co-Co-Authors all top 5 Co-Authors 14 single-authored 5 Weckner, Olaf 4 Askari, Ebrahim 4 Bobaru, Florin 3 Epton, Michael A. 3 Lehoucq, Richard B. 3 Xu, Jifeng 2 D’Elia, Marta 2 Foster, John T. jun. 2 Geubelle, Philippe H. 2 You, Huaiqian 2 Yu, Yue 1 Abeyaratne, Rohan C. 1 Alves, Leonardo Frota 1 Askari, Abe 1 Breitenfeld, M. S. 1 Brunk, Gerd 1 Cyron, Christian Johannes 1 Gao, Tian 1 Hermann, Alexander 1 Horgan, Cornelius Oliver 1 Parks, Michael L. 1 Plimpton, Steven J. 1 Seleson, Pablo 1 Shojaei, Arman 1 Warren, Thomas L. 1 Yang, Mijia all top 5 Serials 8 Journal of Elasticity 5 Computer Methods in Applied Mechanics and Engineering 4 Journal of the Mechanics and Physics of Solids 3 International Journal for Numerical Methods in Engineering 2 Journal of Applied Mechanics 2 Journal of Computational Physics 1 Computer Physics Communications 1 International Journal of Non-Linear Mechanics 1 International Journal of Solids and Structures 1 Mathematics and Mechanics of Solids 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Fracture 1 Advances in Applied Mathematics (Boca Raton) all top 5 Fields 28 Mechanics of deformable solids (74-XX) 5 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 1,693 times in 623 Documents Cited by ▼ Year ▼ Reformulation of elasticity theory for discontinuities and long-range forces. Zbl 0970.74030Silling, S. A. 529 2000 Peridynamic states and constitutive modeling. Zbl 1120.74003Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E. 274 2007 Convergence of peridynamics to classical elasticity theory. Zbl 1159.74316Silling, S. A.; Lehoucq, R. B. 102 2008 Convergence, adaptive refinement, and scaling in 1D peridynamics. Zbl 1156.74399Bobaru, Florin; Yang, Mijia; Alves, Leonardo Frota; Silling, Stewart A.; Askari, Ebrahim; Xu, Jifeng 93 2009 Linearized theory of peridynamic states. Zbl 1188.74008Silling, S. A. 83 2010 Deformation of a peridynamic bar. Zbl 1061.74031Silling, S. A.; Zimmermann, M.; Abeyaratne, R. 63 2003 Crack nucleation in a peridynamic solid. Zbl 1425.74045Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F. 61 2010 Peridynamic modeling of membranes and fibers. Zbl 1349.74231Silling, S. A.; Bobaru, F. 61 2005 A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng 56 2009 Handbook of peridynamic modeling. Zbl 1351.74001 55 2016 Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A. 54 2008 Non-ordinary state-based peridynamic analysis of stationary crack problems. Zbl 1296.74099Breitenfeld, M. S.; Geubelle, P. H.; Weckner, O.; Silling, S. A. 52 2014 Force flux and the peridynamic stress tensor. Zbl 1171.74319Lehoucq, R. B.; Silling, S. A. 47 2008 Viscoplasticity using peridynamics. Zbl 1183.74035Foster, J. T.; Silling, S. A.; Chen, W. W. 43 2010 Stability of peridynamic correspondence material models and their particle discretizations. Zbl 1439.74017Silling, S. A. 28 2017 Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid. Zbl 0634.73041Silling, S. A. 27 1988 Numerical studies of loss of ellipticity near singularities in an elastic material. Zbl 0634.73040Silling, S. A. 18 1988 Phase changes induced by deformation in isothermal elastic crystals. Zbl 0679.73060Silling, S. A. 11 1989 Finite difference modeling of phase changes and localization in elasticity. Zbl 0635.73119Silling, S. A. 7 1988 Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim 7 2009 Attenuation of waves in a viscoelastic peridynamic medium. Zbl 07273384Silling, S. A. 6 2019 Dynamic growth of martensitic plates in an elastic material. Zbl 0762.73009Silling, S. A. 4 1992 Incompressibility in dynamic relaxation. Zbl 0618.73098Silling, S. A. 3 1987 Stability and accuracy of differencing methods for viscoplastic models in wavecodes. Zbl 0768.73092Silling, S. A. 2 1993 A data-driven peridynamic continuum model for upscaling molecular dynamics. Zbl 07464519You, Huaiqian; Yu, Yue; Silling, Stewart; D’Elia, Marta 2 2022 A hybrid meshfree discretization to improve the numerical performance of peridynamic models. Zbl 07487673Shojaei, Arman; Hermann, Alexander; Cyron, Christian J.; Seleson, Pablo; Silling, Stewart A. 2 2022 Solitary waves in a peridynamic elastic solid. Zbl 1482.74102Silling, S. A. 2 2016 Stress concentration factors in finite anti-plane shear: Numerical calculations and analytical estimates. Zbl 0611.73051Horgan, C. O.; Silling, S. A. 1 1987 A data-driven peridynamic continuum model for upscaling molecular dynamics. Zbl 07464519You, Huaiqian; Yu, Yue; Silling, Stewart; D’Elia, Marta 2 2022 A hybrid meshfree discretization to improve the numerical performance of peridynamic models. Zbl 07487673Shojaei, Arman; Hermann, Alexander; Cyron, Christian J.; Seleson, Pablo; Silling, Stewart A. 2 2022 Attenuation of waves in a viscoelastic peridynamic medium. Zbl 07273384Silling, S. A. 6 2019 Stability of peridynamic correspondence material models and their particle discretizations. Zbl 1439.74017Silling, S. A. 28 2017 Handbook of peridynamic modeling. Zbl 1351.74001 55 2016 Solitary waves in a peridynamic elastic solid. Zbl 1482.74102Silling, S. A. 2 2016 Non-ordinary state-based peridynamic analysis of stationary crack problems. Zbl 1296.74099Breitenfeld, M. S.; Geubelle, P. H.; Weckner, O.; Silling, S. A. 52 2014 Linearized theory of peridynamic states. Zbl 1188.74008Silling, S. A. 83 2010 Crack nucleation in a peridynamic solid. Zbl 1425.74045Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F. 61 2010 Viscoplasticity using peridynamics. Zbl 1183.74035Foster, J. T.; Silling, S. A.; Chen, W. W. 43 2010 Convergence, adaptive refinement, and scaling in 1D peridynamics. Zbl 1156.74399Bobaru, Florin; Yang, Mijia; Alves, Leonardo Frota; Silling, Stewart A.; Askari, Ebrahim; Xu, Jifeng 93 2009 A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng 56 2009 Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim 7 2009 Convergence of peridynamics to classical elasticity theory. Zbl 1159.74316Silling, S. A.; Lehoucq, R. B. 102 2008 Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A. 54 2008 Force flux and the peridynamic stress tensor. Zbl 1171.74319Lehoucq, R. B.; Silling, S. A. 47 2008 Peridynamic states and constitutive modeling. Zbl 1120.74003Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E. 274 2007 Peridynamic modeling of membranes and fibers. Zbl 1349.74231Silling, S. A.; Bobaru, F. 61 2005 Deformation of a peridynamic bar. Zbl 1061.74031Silling, S. A.; Zimmermann, M.; Abeyaratne, R. 63 2003 Reformulation of elasticity theory for discontinuities and long-range forces. Zbl 0970.74030Silling, S. A. 529 2000 Stability and accuracy of differencing methods for viscoplastic models in wavecodes. Zbl 0768.73092Silling, S. A. 2 1993 Dynamic growth of martensitic plates in an elastic material. Zbl 0762.73009Silling, S. A. 4 1992 Phase changes induced by deformation in isothermal elastic crystals. Zbl 0679.73060Silling, S. A. 11 1989 Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid. Zbl 0634.73041Silling, S. A. 27 1988 Numerical studies of loss of ellipticity near singularities in an elastic material. Zbl 0634.73040Silling, S. A. 18 1988 Finite difference modeling of phase changes and localization in elasticity. Zbl 0635.73119Silling, S. A. 7 1988 Incompressibility in dynamic relaxation. Zbl 0618.73098Silling, S. A. 3 1987 Stress concentration factors in finite anti-plane shear: Numerical calculations and analytical estimates. Zbl 0611.73051Horgan, C. O.; Silling, S. A. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 891 Authors 40 Du, Qiang 22 Tian, Xiaochuan 20 Gunzburger, Max D. 17 Silling, Stewart A. 14 D’Elia, Marta 14 Foster, John T. jun. 14 Mengesha, Tadele 14 Oterkus, Selda 13 Yu, Yue 12 Bobaru, Florin 12 Li, Shaofan 12 Madenci, Erdogan 12 Oterkus, Erkan 12 Wang, Hong 11 Lipton, Robert P. 11 Rossi, Julio Daniel 11 Zhou, Xiaoping 10 Ju, Lili 9 You, Huaiqian 9 Zingales, Massimiliano 8 Aksoylu, Burak 8 Failla, Giuseppe 8 Galvanetto, Ugo 8 Trask, Nathaniel A. 8 Zaccariotto, Mirco 7 Bellido, José Carlos 7 Han, Fei 7 Lehoucq, Richard B. 7 Rabczuk, Timon 7 Seleson, Pablo 7 Weckner, Olaf 6 Di Paola, Mario 6 Jha, Prashant K. 6 Mora-Corral, Carlos 6 Ni, Tao 6 Radu, Petronela 6 Ren, Huilong 6 Steigmann, David J. 6 Zhang, Aman 6 Zhang, Jiwei 6 Zhu, Qizhi 6 Zhuang, Xiaoying 5 Celiker, Fatih 5 Cheng, Aijie 5 Gu, Xin 5 Hu, Ping 5 Javili, Ali 5 Lubineau, Gilles 5 Qiao, Pizhong 5 Reddy, Junuthula Narasimha 5 Scott, James M. 5 Shen, Guozhe 5 Tian, Hao 5 Xia, Yang 5 Xu, Jifeng 5 Yu, Haitao 5 Zhang, Hongwu 5 Zhang, Xiaobing 5 Zheng, Chunxiong 5 Zheng, Guojun 5 Zheng, Yonggang 4 Alali, Bacim 4 Chen, Hailong 4 Diehl, Patrick 4 Fuschi, Paolo 4 Ha, Youn Doh 4 Kamensky, David 4 Li, Hui 4 Liew, Kim Meow 4 Liu, Wenyang 4 Parks, Michael L. 4 Pisano, Aurora Angela 4 Roy, Debasish 4 Shojaei, Arman 4 Steinmann, Paul 4 Wang, Linjuan 4 Weißenfels, Christian 4 Wriggers, Peter 4 Ye, Hongfei 4 Zhang, Heng 4 Zhang, Qing 4 Zhang, Xiong 4 Zhou, Kun 3 Abeyaratne, Rohan C. 3 Aguiar, Adair Roberto 3 Alaydın, Mert Deniz 3 Andrés, Fuensanta 3 Askari, Ebrahim 3 Bazilevs, Yuri 3 Bekar, Ali Can 3 Chen, Minghua 3 Chen, Weizhong 3 Chen, Xizhuo 3 Chen, Youping 3 Coombs, William M. 3 Diyaroglu, Cagan 3 Emmrich, Etienne 3 Fang, Guodong 3 Fish, Jacob 3 Fosdick, Roger L. ...and 791 more Authors all top 5 Cited in 117 Serials 147 Computer Methods in Applied Mechanics and Engineering 36 Computational Mechanics 36 Journal of Elasticity 28 Mathematics and Mechanics of Solids 24 Journal of Computational Physics 24 Engineering Analysis with Boundary Elements 17 Journal of the Mechanics and Physics of Solids 13 Computers & Mathematics with Applications 13 SIAM Journal on Numerical Analysis 13 European Journal of Mechanics. A. Solids 10 International Journal of Engineering Science 10 International Journal for Numerical Methods in Engineering 10 Journal of Scientific Computing 8 Acta Mechanica 8 Archive for Rational Mechanics and Analysis 8 Applied Mathematics and Computation 8 Applied Mathematical Modelling 7 International Journal of Solids and Structures 7 SIAM Journal on Mathematical Analysis 6 Mathematics of Computation 6 Continuum Mechanics and Thermodynamics 6 Multiscale Modeling & Simulation 6 International Journal of Fracture 5 Journal of Mathematical Analysis and Applications 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Meccanica 5 Calculus of Variations and Partial Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Communications on Applied Mathematics and Computation 3 Applicable Analysis 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applied Numerical Mathematics 3 Journal of Nonlinear Science 3 SIAM Journal on Scientific Computing 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications in Computational Physics 2 Computer Physics Communications 2 International Journal of Plasticity 2 Nonlinearity 2 Reports on Mathematical Physics 2 Applied Mathematics and Optimization 2 Mechanics Research Communications 2 Physica D 2 SIAM Journal on Matrix Analysis and Applications 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Computational and Applied Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 Foundations of Computational Mathematics 2 Advances in Difference Equations 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers and Fluids 1 International Journal of Heat and Mass Transfer 1 Journal d’Analyse Mathématique 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Physica A 1 Wave Motion 1 Chaos, Solitons and Fractals 1 BIT 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Archive of Applied Mechanics 1 Journal of Mathematical Imaging and Vision 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Fractals 1 Differential Equations and Dynamical Systems 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 17 more Serials all top 5 Cited in 33 Fields 445 Mechanics of deformable solids (74-XX) 175 Numerical analysis (65-XX) 131 Partial differential equations (35-XX) 79 Integral equations (45-XX) 68 Fluid mechanics (76-XX) 37 Statistical mechanics, structure of matter (82-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 27 Functional analysis (46-XX) 26 Operator theory (47-XX) 24 Real functions (26-XX) 22 Classical thermodynamics, heat transfer (80-XX) 12 Biology and other natural sciences (92-XX) 9 Mechanics of particles and systems (70-XX) 7 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year