Imposition of local boundary conditions in peridynamics without a fictitious layer and unphysical stress concentrations
Tài liệu tham khảo
Silling, 2000, Reformulation of elasticity theory for discontinuities and long-range forces, J. Mech. Phys. Solids, 48, 175, 10.1016/S0022-5096(99)00029-0
Silling, 2007, Peridynamic states and constitutive modeling, J. Elasticity, 88, 151, 10.1007/s10659-007-9125-1
Kilic, 2010, An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory, Theor. Appl. Fract. Mech., 53, 194, 10.1016/j.tafmec.2010.08.001
Madenci, 2014
Mitchell, 2015, A position-aware linear solid constitutive model for peridynamics, J. Mech. Mater. Struct., 10, 539, 10.2140/jomms.2015.10.539
Madenci, 2016, Ordinary state-based peridynamics for plastic deformation according to von Mises yield criteria with isotropic hardening, J. Mech. Phys. Solids, 86, 192, 10.1016/j.jmps.2015.09.016
Le, 2018, Surface corrections for peridynamic models in elasticity and fracture, Comput. Mech., 61, 499, 10.1007/s00466-017-1469-1
Nishawala, 2017, Peristatic solutions for finite one-and two-dimensional systems, Math. Mech. Solids, 22, 1639, 10.1177/1081286516641180
Macek, 2007, Peridynamics via finite element analysis, Finite Elem. Anal. Des., 43, 1169, 10.1016/j.finel.2007.08.012
Sarego, 2016, Linearized state-based peridynamics for 2D problems, Internat. J. Numer. Methods Engrg., 108, 1174, 10.1002/nme.5250
Zhao, 2020
Prudhomme, 2020, On the treatment of boundary conditions for bond-based peridynamic models, Comput. Methods Appl. Mech. Engrg., 372, 10.1016/j.cma.2020.113391
Chen, 2020, Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach, Math. Mech. Solids, 26, 10.1177/1081286520961144
Scabbia, 2021, A novel and effective way to impose boundary conditions and to mitigate the surface effect in state-based peridynamics, Internat. J. Numer. Methods Engrg., 122, 5773, 10.1002/nme.6773
Kilic, 2010, Coupling of peridynamic theory and the finite element method, J. Mech. Mater. Struct., 5, 707, 10.2140/jomms.2010.5.707
Zaccariotto, 2018, Coupling of FEM meshes with peridynamic grids, Comput. Methods Appl. Mech. Engrg., 330, 471, 10.1016/j.cma.2017.11.011
Madenci, 2018, Weak form of peridynamics for nonlocal essential and natural boundary conditions, Comput. Methods Appl. Mech. Engrg., 337, 598, 10.1016/j.cma.2018.03.038
Liu, 2021, Revised non-ordinary state-based peridynamics and a new framework for coupling with finite element method, Eng. Fract. Mech., 242, 10.1016/j.engfracmech.2020.107483
Seleson, 2013, A force-based coupling scheme for peridynamics and classical elasticity, Comput. Mater. Sci., 66, 34, 10.1016/j.commatsci.2012.05.016
Liu, 2012, A coupling approach of discretized peridynamics with finite element method, Comput. Methods Appl. Mech. Eng., 245–246, 163, 10.1016/j.cma.2012.07.006
Silling, 2015, Variable horizon in a peridynamic medium, J. Mech. Mater. Struct., 10, 591, 10.2140/jomms.2015.10.591
Wang, 2019, Concurrent coupling of peridynamics and classical elasticity for elastodynamic problems, Comput. Methods Appl. Mech. Engrg., 344, 251, 10.1016/j.cma.2018.09.019
Han, 2012, Coupling of nonlocal and local continuum models by the Arlequin approach, Internat. J. Numer. Methods Engrg., 89, 671, 10.1002/nme.3255
Han, 2016, A morphing approach to couple state-based peridynamics with classical continuum mechanics, Comput. Methods Appl. Mech. Engrg., 301, 336, 10.1016/j.cma.2015.12.024
Madenci, 2016, Peridynamic differential operator and its applications, Comput. Methods Appl. Mech. Engrg., 304, 408, 10.1016/j.cma.2016.02.028
Madenci, 2017, Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator, Numer. Methods Partial Differential Equations, 33, 1726, 10.1002/num.22167
Madenci, 2019
Silling, 2010, Peridynamic theory of solid mechanics, Adv. Appl. Mech., 44, 73, 10.1016/S0065-2156(10)44002-8
Lehoucq, 2008, Force flux and the peridynamic stress tensor, J. Mech. Phys. Solids, 56, 1566, 10.1016/j.jmps.2007.08.004
Gu, 2019, Possible causes of numerical oscillations in non-ordinary state-based peridynamics and a bond-associated higher-order stabilized model, Comput. Methods Appl. Mech. Engrg., 357, 10.1016/j.cma.2019.112592
Chen, 2018, Bond-associated deformation gradients for peridynamic correspondence model, Mech. Res. Commun., 90, 34, 10.1016/j.mechrescom.2018.04.004
Chen, 2019, Peridynamic bond-associated correspondence model: Stability and convergence properties, Internat. J. Numer. Methods Engrg., 117, 713, 10.1002/nme.5973
Madenci, 2019, Weak form of bond-associated non-ordinary state-based peridynamics free of zero energy modes with uniform or non-uniform discretization, Eng. Fract. Mech., 218, 10.1016/j.engfracmech.2019.106613
Silling, 2005, A meshfree method based on the peridynamic model of solid mechanics, Comput. Struct., 83, 1526, 10.1016/j.compstruc.2004.11.026
Behera, 2020, Peridynamic correspondence model for finite elastic deformation and rupture in Neo-Hookean materials, Int. J. Non-Linear Mech., 126, 10.1016/j.ijnonlinmec.2020.103564
Roy, 2020, Peridynamic simulation of finite elastic deformation and rupture in polymers, Eng. Fract. Mech., 236, 10.1016/j.engfracmech.2020.107226
Behera, 2021, Peridynamic modeling of bonded-lap joints with viscoelastic adhesives in the presence of finite deformation, Comput. Methods Appl. Mech. Engrg., 374, 10.1016/j.cma.2020.113584