Edit Profile (opens in new tab) Coombs, William M. Co-Author Distance Author ID: coombs.william-m Published as: Coombs, William M.; Coombs, W. M. External Links: ORCID Documents Indexed: 28 Publications since 2010 Co-Authors: 33 Co-Authors with 27 Joint Publications 193 Co-Co-Authors all top 5 Co-Authors 1 single-authored 13 Augarde, Charles Edward 7 Giani, Stefano 6 Bird, Robert E. 4 Ghaffari Motlagh, Yousef 3 Charlton, Tim J. 3 Crouch, Roger S. 3 Hattori, Gabriel 2 Adams, Thomas R. 2 Brennan, Andrew J. 2 Brown, Michael J. 2 Cortis, Michael 2 Hu, Zhendong 2 Knappett, Jonathan A. 2 Lu, Kaizhou 2 Sims, Bradley 2 Trevelyan, Jon 2 Wang, Lei 1 Ai, Weilong 1 Aplin, Andrew C. 1 Cowan, Tim 1 Duddu, Ravindra 1 Golchin, Ali 1 Gourgiotis, Panos A. 1 Gutiérrez, José Antonio Reyna 1 Hashim, Nur A. 1 Hicks, Michael Anthony 1 Huynh, Phuc T. 1 Marchena Puigvert, Marc 1 McLeish, Nicholas 1 O’Hare, Ted J. 1 Petit, Oscar A. 1 Pretti, Giuliano 1 Vardon, Philip James all top 5 Serials 18 Computer Methods in Applied Mechanics and Engineering 3 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 International Journal for Numerical Methods in Engineering 1 Applied Mathematics and Computation 1 Engineering Analysis with Boundary Elements 1 Archives of Computational Methods in Engineering Fields 26 Mechanics of deformable solids (74-XX) 16 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 118 times in 90 Documents Cited by ▼ Year ▼ Overcoming volumetric locking in material point methods. Zbl 1440.74385 Coombs, William M.; Charlton, Tim J.; Cortis, Michael; Augarde, Charles E. 12 2018 Reuleaux plasticity: analytical backward Euler stress integration and consistent tangent. Zbl 1231.74054 Coombs, William M.; Crouch, Roger S.; Augarde, Charles E. 11 2010 A non-ordinary state-based peridynamics framework for anisotropic materials. Zbl 1440.74026 Hattori, Gabriel; Trevelyan, Jon; Coombs, William M. 11 2018 An adaptive finite element/meshless coupled method based on local maximum entropy shape functions for linear and nonlinear problems. Zbl 1286.74111 Ullah, Z.; Coombs, W. M.; Augarde, C. E. 11 2013 On Lagrangian mechanics and the implicit material point method for large deformation elasto-plasticity. Zbl 1441.74037 Coombs, William M.; Augarde, Charles E.; Brennan, Andrew J.; Brown, Michael J.; Charlton, Tim J.; Knappett, Jonathan A.; Ghaffari Motlagh, Yousef; Wang, Lei 8 2020 Non-associated reuleaux plasticity: analytical stress integration and consistent tangent for finite deformation mechanics. Zbl 1225.74019 Coombs, William M.; Crouch, Roger S. 7 2011 Numerical simulation of fracking in shale rocks: current state and future approaches. Zbl 1364.76221 Hattori, Gabriel; Trevelyan, Jon; Augarde, Charles E.; Coombs, William M.; Aplin, Andrew C. 6 2017 An implicit non-ordinary state-based peridynamics with stabilised correspondence material model for finite deformation analysis. Zbl 1506.74034 Hashim, Nur A.; Coombs, W. M.; Augarde, C. E.; Hattori, G. 6 2020 NURBS plasticity: yield surface representation and implicit stress integration for isotropic inelasticity. Zbl 1425.74022 Coombs, William M.; Petit, Oscar A.; Ghaffari Motlagh, Yousef 6 2016 A posteriori discontinuous Galerkin error estimator for linear elasticity. Zbl 1428.74201 Bird, Robert E.; Coombs, William M.; Giani, Stefano 5 2019 On the use of domain-based material point methods for problems involving large distortion. Zbl 1441.74281 Wang, L.; Coombs, W. M.; Augarde, C. E.; Cortis, M.; Charlton, T. J.; Brown, M. J.; Knappett, J.; Brennan, A.; Davidson, C.; Richards, D.; Blake, A. 5 2019 Algorithmic issues for three-invariant hyperplastic critical state models. Zbl 1230.74050 Coombs, William M.; Crouch, Roger S. 4 2011 Rapid non-linear finite element analysis of continuous and discontinuous Galerkin methods in MATLAB. Zbl 1443.65362 O’Sullivan, S.; Bird, R. E.; Coombs, W. M.; Giani, Stefano 4 2019 NURBS plasticity: yield surface evolution and implicit stress integration for isotropic hardening. Zbl 1439.74060 Coombs, William M.; Ghaffari Motlagh, Yousef 4 2017 A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation. Zbl 07581577 Adams, Thomas; Giani, Stefano; Coombs, William M. 3 2019 NURBS plasticity: non-associated plastic flow. Zbl 1440.74080 Coombs, William M.; Ghaffari Motlagh, Yousef 3 2018 Weak impositions of Dirichlet boundary conditions in solid mechanics: a critique of current approaches and extension to partially prescribed boundaries. Zbl 1440.74423 Lu, Kaizhou; Augarde, Charles E.; Coombs, William M.; Hu, Zhendong 3 2019 Fast native-MATLAB stiffness assembly for SIPG linear elasticity. Zbl 1397.65251 Bird, R. E.; Coombs, W. M.; Giani, S. 3 2017 Rotationally invariant distortion resistant finite-elements. Zbl 1296.74107 Cowan, Tim; Coombs, William M. 2 2014 A parabolic level set reinitialisation method using a discontinuous Galerkin discretisation. Zbl 1443.65154 Adams, Thomas; McLeish, Nicholas; Giani, Stefano; Coombs, William M. 2 2019 A conservation law consistent updated Lagrangian material point method for dynamic analysis. Zbl 07690205 Pretti, Giuliano; Coombs, William M.; Augarde, Charles E.; Sims, Bradley; Marchena Puigvert, Marc; Gutiérrez, José Antonio Reyna 1 2023 A configurational force driven cracking particle method for modelling crack propagation in 2D. Zbl 1464.74143 Ai, Weilong; Bird, Robert E.; Coombs, William M.; Augarde, Charles E. 1 2019 A conservation law consistent updated Lagrangian material point method for dynamic analysis. Zbl 07690205 Pretti, Giuliano; Coombs, William M.; Augarde, Charles E.; Sims, Bradley; Marchena Puigvert, Marc; Gutiérrez, José Antonio Reyna 1 2023 On Lagrangian mechanics and the implicit material point method for large deformation elasto-plasticity. Zbl 1441.74037 Coombs, William M.; Augarde, Charles E.; Brennan, Andrew J.; Brown, Michael J.; Charlton, Tim J.; Knappett, Jonathan A.; Ghaffari Motlagh, Yousef; Wang, Lei 8 2020 An implicit non-ordinary state-based peridynamics with stabilised correspondence material model for finite deformation analysis. Zbl 1506.74034 Hashim, Nur A.; Coombs, W. M.; Augarde, C. E.; Hattori, G. 6 2020 A posteriori discontinuous Galerkin error estimator for linear elasticity. Zbl 1428.74201 Bird, Robert E.; Coombs, William M.; Giani, Stefano 5 2019 On the use of domain-based material point methods for problems involving large distortion. Zbl 1441.74281 Wang, L.; Coombs, W. M.; Augarde, C. E.; Cortis, M.; Charlton, T. J.; Brown, M. J.; Knappett, J.; Brennan, A.; Davidson, C.; Richards, D.; Blake, A. 5 2019 Rapid non-linear finite element analysis of continuous and discontinuous Galerkin methods in MATLAB. Zbl 1443.65362 O’Sullivan, S.; Bird, R. E.; Coombs, W. M.; Giani, Stefano 4 2019 A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation. Zbl 07581577 Adams, Thomas; Giani, Stefano; Coombs, William M. 3 2019 Weak impositions of Dirichlet boundary conditions in solid mechanics: a critique of current approaches and extension to partially prescribed boundaries. Zbl 1440.74423 Lu, Kaizhou; Augarde, Charles E.; Coombs, William M.; Hu, Zhendong 3 2019 A parabolic level set reinitialisation method using a discontinuous Galerkin discretisation. Zbl 1443.65154 Adams, Thomas; McLeish, Nicholas; Giani, Stefano; Coombs, William M. 2 2019 A configurational force driven cracking particle method for modelling crack propagation in 2D. Zbl 1464.74143 Ai, Weilong; Bird, Robert E.; Coombs, William M.; Augarde, Charles E. 1 2019 Overcoming volumetric locking in material point methods. Zbl 1440.74385 Coombs, William M.; Charlton, Tim J.; Cortis, Michael; Augarde, Charles E. 12 2018 A non-ordinary state-based peridynamics framework for anisotropic materials. Zbl 1440.74026 Hattori, Gabriel; Trevelyan, Jon; Coombs, William M. 11 2018 NURBS plasticity: non-associated plastic flow. Zbl 1440.74080 Coombs, William M.; Ghaffari Motlagh, Yousef 3 2018 Numerical simulation of fracking in shale rocks: current state and future approaches. Zbl 1364.76221 Hattori, Gabriel; Trevelyan, Jon; Augarde, Charles E.; Coombs, William M.; Aplin, Andrew C. 6 2017 NURBS plasticity: yield surface evolution and implicit stress integration for isotropic hardening. Zbl 1439.74060 Coombs, William M.; Ghaffari Motlagh, Yousef 4 2017 Fast native-MATLAB stiffness assembly for SIPG linear elasticity. Zbl 1397.65251 Bird, R. E.; Coombs, W. M.; Giani, S. 3 2017 NURBS plasticity: yield surface representation and implicit stress integration for isotropic inelasticity. Zbl 1425.74022 Coombs, William M.; Petit, Oscar A.; Ghaffari Motlagh, Yousef 6 2016 Rotationally invariant distortion resistant finite-elements. Zbl 1296.74107 Cowan, Tim; Coombs, William M. 2 2014 An adaptive finite element/meshless coupled method based on local maximum entropy shape functions for linear and nonlinear problems. Zbl 1286.74111 Ullah, Z.; Coombs, W. M.; Augarde, C. E. 11 2013 Non-associated reuleaux plasticity: analytical stress integration and consistent tangent for finite deformation mechanics. Zbl 1225.74019 Coombs, William M.; Crouch, Roger S. 7 2011 Algorithmic issues for three-invariant hyperplastic critical state models. Zbl 1230.74050 Coombs, William M.; Crouch, Roger S. 4 2011 Reuleaux plasticity: analytical backward Euler stress integration and consistent tangent. Zbl 1231.74054 Coombs, William M.; Crouch, Roger S.; Augarde, Charles E. 11 2010 all cited Publications top 5 cited Publications all top 5 Cited by 201 Authors 19 Coombs, William M. 8 Augarde, Charles Edward 5 Giani, Stefano 4 Bird, Robert E. 4 Ghaffari Motlagh, Yousef 4 Sharifian, Mehrzad 4 Zhou, Xiaoping 3 Milewski, Slawomir 3 Rezaiee-Pajand, Mohammad 3 Sharifian, Mehrdad 3 Sun, WaiChing 2 Brennan, Andrew J. 2 Brown, Michael J. 2 Cen, Song 2 Charlton, Tim J. 2 Choo, Jinhyun 2 Crouch, Roger S. 2 de Vaucorbeil, Alban 2 Ferronato, Massimiliano 2 Hattori, Gabriel 2 Hicks, Michael Anthony 2 Homel, Michael A. 2 Hu, Zhendong 2 Jaśkowiec, Jan 2 Knappett, Jonathan A. 2 Li, Zheng 2 Liang, Ke 2 Menon, Shashank 2 Molinos, Miguel 2 Moutsanidis, Georgios 2 Nguyen, Vinh Phu 2 Shen, Guozhe 2 Sims, Bradley 2 Song, Xiaoyu 2 Stickle, Miguel Martín 2 Telikicherla, Ram Mohan 2 Tian, Da-Lang 2 Vardon, Philip James 2 Wang, Lei 2 Xia, Yang 2 Xiao, Mian 2 Ye, Hongfei 2 Yin, ZhenYu 2 Zhang, Hongwu 2 Zhang, Ting 2 Zhao, Yidong 2 Zheng, Guojun 2 Zheng, Hong 2 Zheng, Yonggang 1 Abali, Bilen Emek 1 Adriaenssens, Sigrid 1 Araújo, Aurélio L. 1 Auricchio, Ferdinando 1 Bacigalupo, Andrea 1 Bamer, Franz 1 Barba, Federico Dalla 1 Baumgarten, Aaron S. 1 Bednařík, Michal 1 Bordas, Stéphane Pierre Alain 1 Brannon, Rebecca M. 1 Chalmers, Noel 1 Chandra, Bodhinanda 1 Chihadeh, Ahmad 1 Cortis, Michael 1 da Silva Pitangueira, Roque Luiz 1 Deng, An 1 Diana, Vito 1 Diehl, Patrick 1 Díez, Pedro 1 Dorduncu, Mehmet 1 Duddu, Ravindra 1 Ehlers, Wolfgang 1 Fang, Guodong 1 Fang, Huangcheng 1 Fu, Li-Yun 1 Fu, Maoqing 1 Galvanetto, Ugo 1 Gambarotta, Luigi 1 Gan, Yong 1 Ge, Louis 1 Giacomini, Matteo 1 Golchin, Ali 1 González Acosta, José León 1 Gori, Lapo 1 Gourgiotis, Panos A. 1 Green, Daniel E. 1 Guilkey, James E. 1 Gutiérrez, José Antonio Reyna 1 Hao, Zhiming 1 Hashim, Nur A. 1 Herbold, Eric B. 1 Hruska, Viktor 1 Hu, Ping 1 Hu, Zhiqiang 1 Huang, Zhilong 1 Hutchinson, Christopher R. 1 Huynh, Phuc T. 1 Janna, Carlo 1 Javili, Ali 1 Jiang, Chenfanfu ...and 101 more Authors all top 5 Cited in 20 Serials 36 Computer Methods in Applied Mechanics and Engineering 10 International Journal for Numerical Methods in Engineering 9 Computers & Mathematics with Applications 5 Computational Mechanics 5 European Journal of Mechanics. A. Solids 3 Acta Mechanica 3 Journal of Computational Physics 3 Applied Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 Mathematics and Mechanics of Solids 2 International Journal of Computational Methods 1 International Journal of Engineering Science 1 International Journal of Plasticity 1 Wave Motion 1 Journal of Computational and Applied Mathematics 1 Meccanica 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Computational Physics all top 5 Cited in 8 Fields 83 Mechanics of deformable solids (74-XX) 38 Numerical analysis (65-XX) 13 Fluid mechanics (76-XX) 5 Partial differential equations (35-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year