Silling, Stewart A.

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 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 478 Co-Co-Authors
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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
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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)
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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)

Citations contained in zbMATH Open

28 Publications have been cited 1,640 times in 614 Documents Cited by Year
Reformulation of elasticity theory for discontinuities and long-range forces. Zbl 0970.74030
Silling, S. A.
2000
Peridynamic states and constitutive modeling. Zbl 1120.74003
Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E.
2007
Convergence of peridynamics to classical elasticity theory. Zbl 1159.74316
Silling, S. A.; Lehoucq, R. B.
2008
Convergence, adaptive refinement, and scaling in 1D peridynamics. Zbl 1156.74399
Bobaru, Florin; Yang, Mijia; Alves, Leonardo Frota; Silling, Stewart A.; Askari, Ebrahim; Xu, Jifeng
2009
Linearized theory of peridynamic states. Zbl 1188.74008
Silling, S. A.
2010
Deformation of a peridynamic bar. Zbl 1061.74031
Silling, S. A.; Zimmermann, M.; Abeyaratne, R.
2003
Peridynamic modeling of membranes and fibers. Zbl 1349.74231
Silling, S. A.; Bobaru, F.
2005
Crack nucleation in a peridynamic solid. Zbl 1425.74045
Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F.
2010
Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014
Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A.
2008
Handbook of peridynamic modeling. Zbl 1351.74001
2016
A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012
Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng
2009
Non-ordinary state-based peridynamic analysis of stationary crack problems. Zbl 1296.74099
Breitenfeld, M. S.; Geubelle, P. H.; Weckner, O.; Silling, S. A.
2014
Force flux and the peridynamic stress tensor. Zbl 1171.74319
Lehoucq, R. B.; Silling, S. A.
2008
Viscoplasticity using peridynamics. Zbl 1183.74035
Foster, J. T.; Silling, S. A.; Chen, W. W.
2010
Stability of peridynamic correspondence material models and their particle discretizations. Zbl 1439.74017
Silling, S. A.
2017
Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid. Zbl 0634.73041
Silling, S. A.
1988
Numerical studies of loss of ellipticity near singularities in an elastic material. Zbl 0634.73040
Silling, S. A.
1988
Phase changes induced by deformation in isothermal elastic crystals. Zbl 0679.73060
Silling, S. A.
1989
Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018
Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim
2009
Finite difference modeling of phase changes and localization in elasticity. Zbl 0635.73119
Silling, S. A.
1988
Attenuation of waves in a viscoelastic peridynamic medium. Zbl 07273384
Silling, S. A.
2019
Dynamic growth of martensitic plates in an elastic material. Zbl 0762.73009
Silling, S. A.
1992
Incompressibility in dynamic relaxation. Zbl 0618.73098
Silling, S. A.
1987
Stability and accuracy of differencing methods for viscoplastic models in wavecodes. Zbl 0768.73092
Silling, S. A.
1993
A data-driven peridynamic continuum model for upscaling molecular dynamics. Zbl 07464519
You, Huaiqian; Yu, Yue; Silling, Stewart; D’Elia, Marta
2022
A hybrid meshfree discretization to improve the numerical performance of peridynamic models. Zbl 07487673
Shojaei, Arman; Hermann, Alexander; Cyron, Christian J.; Seleson, Pablo; Silling, Stewart A.
2022
Stress concentration factors in finite anti-plane shear: Numerical calculations and analytical estimates. Zbl 0611.73051
Horgan, C. O.; Silling, S. A.
1987
Solitary waves in a peridynamic elastic solid. Zbl 1482.74102
Silling, S. A.
2016
A data-driven peridynamic continuum model for upscaling molecular dynamics. Zbl 07464519
You, Huaiqian; Yu, Yue; Silling, Stewart; D&rsquo;Elia, Marta
2022
A hybrid meshfree discretization to improve the numerical performance of peridynamic models. Zbl 07487673
Shojaei, Arman; Hermann, Alexander; Cyron, Christian J.; Seleson, Pablo; Silling, Stewart A.
2022
Attenuation of waves in a viscoelastic peridynamic medium. Zbl 07273384
Silling, S. A.
2019
Stability of peridynamic correspondence material models and their particle discretizations. Zbl 1439.74017
Silling, S. A.
2017
Handbook of peridynamic modeling. Zbl 1351.74001
2016
Solitary waves in a peridynamic elastic solid. Zbl 1482.74102
Silling, S. A.
2016
Non-ordinary state-based peridynamic analysis of stationary crack problems. Zbl 1296.74099
Breitenfeld, M. S.; Geubelle, P. H.; Weckner, O.; Silling, S. A.
2014
Linearized theory of peridynamic states. Zbl 1188.74008
Silling, S. A.
2010
Crack nucleation in a peridynamic solid. Zbl 1425.74045
Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F.
2010
Viscoplasticity using peridynamics. Zbl 1183.74035
Foster, J. T.; Silling, S. A.; Chen, W. W.
2010
Convergence, adaptive refinement, and scaling in 1D peridynamics. Zbl 1156.74399
Bobaru, Florin; Yang, Mijia; Alves, Leonardo Frota; Silling, Stewart A.; Askari, Ebrahim; Xu, Jifeng
2009
A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012
Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng
2009
Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018
Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim
2009
Convergence of peridynamics to classical elasticity theory. Zbl 1159.74316
Silling, S. A.; Lehoucq, R. B.
2008
Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014
Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A.
2008
Force flux and the peridynamic stress tensor. Zbl 1171.74319
Lehoucq, R. B.; Silling, S. A.
2008
Peridynamic states and constitutive modeling. Zbl 1120.74003
Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E.
2007
Peridynamic modeling of membranes and fibers. Zbl 1349.74231
Silling, S. A.; Bobaru, F.
2005
Deformation of a peridynamic bar. Zbl 1061.74031
Silling, S. A.; Zimmermann, M.; Abeyaratne, R.
2003
Reformulation of elasticity theory for discontinuities and long-range forces. Zbl 0970.74030
Silling, S. A.
2000
Stability and accuracy of differencing methods for viscoplastic models in wavecodes. Zbl 0768.73092
Silling, S. A.
1993
Dynamic growth of martensitic plates in an elastic material. Zbl 0762.73009
Silling, S. A.
1992
Phase changes induced by deformation in isothermal elastic crystals. Zbl 0679.73060
Silling, S. A.
1989
Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid. Zbl 0634.73041
Silling, S. A.
1988
Numerical studies of loss of ellipticity near singularities in an elastic material. Zbl 0634.73040
Silling, S. A.
1988
Finite difference modeling of phase changes and localization in elasticity. Zbl 0635.73119
Silling, S. A.
1988
Incompressibility in dynamic relaxation. Zbl 0618.73098
Silling, S. A.
1987
Stress concentration factors in finite anti-plane shear: Numerical calculations and analytical estimates. Zbl 0611.73051
Horgan, C. O.; Silling, S. A.
1987
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Cited by 874 Authors

 40 Du, Qiang 22 Tian, Xiaochuan 20 Gunzburger, Max D. 17 Silling, Stewart A. 14 Foster, John T. jun. 14 Mengesha, Tadele 14 Oterkus, Selda 13 D’Elia, Marta 13 Yu, Yue 12 Bobaru, Florin 12 Li, Shaofan 12 Madenci, Erdogan 12 Oterkus, Erkan 12 Wang, Hong 10 Ju, Lili 10 Lipton, Robert P. 10 Rossi, Julio Daniel 10 Zhou, Xiaoping 9 You, Huaiqian 9 Zingales, Massimiliano 8 Aksoylu, Burak 8 Failla, Giuseppe 8 Trask, Nathaniel A. 7 Bellido, José Carlos 7 Galvanetto, Ugo 7 Lehoucq, Richard B. 7 Rabczuk, Timon 7 Seleson, Pablo 7 Weckner, Olaf 7 Zaccariotto, Mirco 6 Di Paola, Mario 6 Han, Fei 6 Mora-Corral, Carlos 6 Radu, Petronela 6 Ren, Huilong 6 Steigmann, David J. 6 Zhang, Aman 6 Zhang, Jiwei 6 Zhuang, Xiaoying 5 Celiker, Fatih 5 Cheng, Aijie 5 Gu, Xin 5 Hu, Ping 5 Javili, Ali 5 Jha, Prashant K. 5 Lubineau, Gilles 5 Ni, Tao 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, Xiaobing 5 Zheng, Chunxiong 5 Zheng, Guojun 5 Zhu, Qizhi 4 Alali, Bacim 4 Chen, Hailong 4 Diehl, Patrick 4 Fuschi, Paolo 4 Ha, Youn Doh 4 Kamensky, David 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 Zhang, Heng 4 Zhang, Hongwu 4 Zhang, Qing 4 Zheng, Yonggang 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. 3 Fu, Maoqing 3 Hattori, Gabriel 3 Hong, Jung-Wuk ...and 774 more Authors
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Cited in 115 Serials

 144 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 12 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 7 International Journal of Solids and Structures 6 Mathematics of Computation 6 Applied Mathematical Modelling 6 SIAM Journal on Mathematical Analysis 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 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 1 Journal of Numerical Mathematics ...and 15 more Serials
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Cited in 33 Fields

 437 Mechanics of deformable solids (74-XX) 173 Numerical analysis (65-XX) 128 Partial differential equations (35-XX) 78 Integral equations (45-XX) 67 Fluid mechanics (76-XX) 39 Statistical mechanics, structure of matter (82-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 26 Functional analysis (46-XX) 24 Real functions (26-XX) 24 Operator theory (47-XX) 22 Classical thermodynamics, heat transfer (80-XX) 11 Biology and other natural sciences (92-XX) 8 Mechanics of particles and systems (70-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Computer science (68-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) 4 Quantum theory (81-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-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)