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Yuri Bazilevs | Nathaniel Trask | Masoud Behzadinasab | Y. Bazilevs | Nathaniel Trask | M. Behzadinasab
[1] Marco Pasetto,et al. A reproducing kernel enhanced approach for peridynamic solutions , 2018, Computer Methods in Applied Mechanics and Engineering.
[2] T. Belytschko,et al. An implicit gradient model by a reproducing kernel strain regularization in strain localization problems , 2004 .
[3] Wing Kam Liu,et al. Reproducing kernel particle methods , 1995 .
[4] Philippe H. Geubelle,et al. Handbook of Peridynamic Modeling , 2017 .
[5] S. Silling,et al. Convergence, adaptive refinement, and scaling in 1D peridynamics , 2009 .
[6] Masoud Behzadinasab,et al. Peridynamic modeling of large deformation and ductile fracture , 2019 .
[7] David John Littlewood,et al. Roadmap for Peridynamic Software Implementation , 2015 .
[8] Christophe Geuzaine,et al. Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .
[9] Xiaochuan Tian,et al. Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation , 2020, ArXiv.
[10] Ted Belytschko,et al. A meshfree unification: reproducing kernel peridynamics , 2014, Computational Mechanics.
[11] Xiaochuan Tian,et al. Super-convergence of reproducing kernel approximation , 2019, Computer Methods in Applied Mechanics and Engineering.
[12] S. Silling. Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces , 2000 .
[13] Xiaochuan Tian,et al. Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion , 2019, SIAM J. Numer. Anal..
[14] Erdogan Madenci,et al. Peridynamic differential operator and its applications , 2016 .
[15] Yuri Bazilevs,et al. Treatment of near-incompressibility in meshfree and immersed-particle methods , 2020, Computational Particle Mechanics.
[16] X. Chen,et al. Continuous and discontinuous finite element methods for a peridynamics model of mechanics , 2011 .
[17] James W. Foulk,et al. The third Sandia fracture challenge: predictions of ductile fracture in additively manufactured metal , 2019, International Journal of Fracture.
[18] Erdogan Madenci,et al. Weak form of peridynamics for nonlocal essential and natural boundary conditions , 2018, Computer Methods in Applied Mechanics and Engineering.
[19] S. Silling. Stability of peridynamic correspondence material models and their particle discretizations , 2016 .
[20] John T. Foster,et al. A semi-Lagrangian constitutive correspondence framework for peridynamics , 2020 .
[21] S. Silling,et al. Peridynamic States and Constitutive Modeling , 2007 .
[22] David John Littlewood,et al. Simulation of Dynamic Fracture Using Peridynamics, Finite Element Modeling, and Contact , 2010 .
[23] Timon Rabczuk,et al. Dual‐horizon peridynamics , 2015, 1506.05146.
[24] Hailong Chen,et al. Bond-associated deformation gradients for peridynamic correspondence model , 2018, Mechanics Research Communications.
[25] Nathaniel Trask,et al. Asymptotically compatible meshfree discretization of state-based peridynamics for linearly elastic composite materials , 2019, ArXiv.
[26] Philippe H. Geubelle,et al. Non-ordinary state-based peridynamic analysis of stationary crack problems , 2014 .
[27] Kaushik Dayal,et al. Bond-level deformation gradients and energy averaging in peridynamics , 2018 .
[28] S. Silling,et al. A meshfree method based on the peridynamic model of solid mechanics , 2005 .
[29] Wing Kam Liu,et al. Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures , 1996 .
[30] Nathaniel Trask,et al. An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics , 2018, Computer Methods in Applied Mechanics and Engineering.
[31] Raul Radovitzky,et al. An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures , 2014 .
[32] Marco Pasetto,et al. Generalized reproducing kernel peridynamics: unification of local and non-local meshfree methods, non-local derivative operations, and an arbitrary-order state-based peridynamic formulation , 2020, Computational Particle Mechanics.
[33] Debasish Roy,et al. A modified peridynamics correspondence principle: Removal of zero-energy deformation and other implications , 2019, Computer Methods in Applied Mechanics and Engineering.
[34] J. Michell,et al. On the Direct Determination of Stress in an Elastic Solid, with application to the Theory of Plates , 1899 .
[35] J. Remacle,et al. Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .
[36] John T. Foster,et al. On the stability of the generalized, finite deformation correspondence model of peridynamics , 2019, International Journal of Solids and Structures.
[37] Li,et al. Moving least-square reproducing kernel methods (I) Methodology and convergence , 1997 .