A centroid-enriched strain-smoothed radial point interpolation method for nearly incompressible elastoplastic problems in solid mechanics
Tài liệu tham khảo
Monaghan, 1992, Smoothed particle hydrodynamics, Annu Rev Astron Astrophys, 30, 543, 10.1146/annurev.aa.30.090192.002551
Belytschko, 1994, Element-free Galerkin methods, Int J Numer Methods Eng, 37, 229, 10.1002/nme.1620370205
Liu, 1995, Reproducing kernel particle methods for structural dynamics, Int J Numer Methods Eng, 38, 1655, 10.1002/nme.1620381005
Liu, 2001, A local radial point interpolation method (LRPIM) for free vibration analyses of 2-D solids, J Sound Vib, 246, 29, 10.1006/jsvi.2000.3626
Wang, 2002, A point interpolation meshless method based on radial basis functions, Int J Numer Methods Eng, 54, 1623, 10.1002/nme.489
Chen, 2017, Meshfree methods: progress made after 20 years, J Eng Mech, 143, 10.1061/(ASCE)EM.1943-7889.0001176
Nie, 2022, Stable node-based smoothed radial point interpolation method for the dynamic analysis of the hygro-thermo-magneto-electro-elastic coupling problem, Eng Anal Boundary Elem, 134, 435, 10.1016/j.enganabound.2021.10.015
Nie, 2021, The hygro-thermo-electro-mechanical coupling edge-based smoothed point interpolation method for the response of functionally graded piezoelectric structure under hygrothermal environment, Eng Anal Boundary Elem, 130, 29, 10.1016/j.enganabound.2021.05.004
Zhou, 2019, Coupling magneto-electro-elastic cell-based smoothed radial point interpolation method for static and dynamic characterization of MEE structures, Acta Mech, 230, 1641, 10.1007/s00707-018-2351-8
Zhou, 2021, On the hygro-thermo-electro-mechanical coupling effect on static and dynamic responses of piezoelectric beams, Compos Struct, 259, 10.1016/j.compstruct.2020.113248
Zhou, 2023, An inhomogeneous stabilized node-based smoothed radial point interpolation method for the multi-physics coupling responses of functionally graded magneto-electro-elastic structures, Eng Anal Boundary Elem, 151, 406, 10.1016/j.enganabound.2023.02.049
Liu, 2018
Cui, 2010, A cell-based smoothed radial point interpolation method (CS-RPIM) for static and free vibration of solids, Eng Anal Boundary Elem, 34, 144, 10.1016/j.enganabound.2009.07.011
Liu, 2005, A meshfree radial point interpolation method (RPIM) for three-dimensional solids, Comput Mech, 36, 421, 10.1007/s00466-005-0657-6
Ren, 2020, A novel stabilized node-based smoothed radial point interpolation method (SNS-RPIM) for coupling analysis of magneto-electro-elastic structures in hygrothermal environment, Comput Meth Appl Mech Eng, 365, 10.1016/j.cma.2020.112975
Ren, 2020, A stabilized node-based smoothed radial point interpolation method for functionally graded magneto-electro-elastic structures in thermal environment, Compos Struct, 234, 10.1016/j.compstruct.2019.111674
Zhao, 2009, A linearly conforming radial point interpolation method (LC-RPIM) for shells, Comput Mech, 43, 403, 10.1007/s00466-008-0313-z
Chen, 2001, A stabilized conforming nodal integration for Galerkin mesh-free methods, Int J Numer Methods Eng, 50, 435, 10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A
Chen, 2002, Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods, Int J Numer Methods Eng, 53, 2587, 10.1002/nme.338
Hillman, 2016, An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics: Accelerated, convergent, stable nodal integration in meshfree methods, Int J Numer Methods Eng, 107, 603, 10.1002/nme.5183
Huang, 2020, RKPM2D: an open-source implementation of nodally integrated reproducing kernel particle method for solving partial differential equations, Comp. Part. Mech., 7, 393, 10.1007/s40571-019-00272-x
Liu, 2009, On g space theory, Int J Comput Methods Eng Sci Mech, 06, 257, 10.1142/S0219876209001863
Liu, 2010, AG space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part I theory, Int J Numer Methods Eng, 81, 1093, 10.1002/nme.2719
Liu, 2010, AG space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems, Int J Numer Methods Eng, 81, 1127, 10.1002/nme.2720
Liu, 2006, A linearly conforming radial point interpolation method for solid mechanics problems, Int J Comput Methods, 3, 401, 10.1142/S0219876206001132
Li, 2020, A node-based smoothed radial point interpolation method with linear strain fields for vibration analysis of solids, Eng Anal Boundary Elem, 114, 8, 10.1016/j.enganabound.2020.01.018
Li, 2019, A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids, Appl Math Comput, 352, 30, 10.1016/j.amc.2019.01.043
Wu, 2009, A node-based smoothed point interpolation method (NS-PIM) for three-dimensional heat transfer problems, Int J Therm Sci, 48, 1367, 10.1016/j.ijthermalsci.2008.10.010
Feng, 2016, An edge/face-based smoothed radial point interpolation method for static analysis of structures, Eng Anal Boundary Elem, 68, 1, 10.1016/j.enganabound.2016.03.016
Liu, 2008, Edge-based smoothed point interpolation methods, Int J Comput Methods, 5, 621, 10.1142/S0219876208001662
Cui, 2015, A cell-based smoothed radial point interpolation method (CS-RPIM) for three-dimensional solids, Eng Anal Boundary Elem, 50, 474, 10.1016/j.enganabound.2014.09.017
Liu, 2011, A singular cell-based smoothed radial point interpolation method for fracture problems, Comput Struct, 89, 1378, 10.1016/j.compstruc.2011.03.009
Mohapatra, 2019, Collapse loads for rectangular foundations by three-dimensional upper bound limit analysis using radial point interpolation method, Int J Numer Anal Methods Geomech, 43, 641, 10.1002/nag.2885
Shafee, 2022, Particle node-based smoothed point interpolation method with stress regularisation for large deformation problems in geomechanics, Comput Geotech, 141, 10.1016/j.compgeo.2021.104494
Shafee, 2021, An improved node-based smoothed point interpolation method for coupled hydro-mechanical problems in geomechanics, Comput Geotech, 139, 10.1016/j.compgeo.2021.104415
Yu, 2016, A 3D upper bound limit analysis using radial point interpolation meshless method and second-order cone programming, Int J Numer Methods Eng, 108, 1686, 10.1002/nme.5273
Zhou, 2021, A novel centroid-enriched edge-based smoothed radial point interpolation method for upper bound limit analysis, Comput Geotech, 140, 10.1016/j.compgeo.2021.104473
Dolbow, 1999, Volumetric locking in the element free Galerkin method, Int J Numer Methods Eng, 46, 925, 10.1002/(SICI)1097-0207(19991030)46:6<925::AID-NME729>3.0.CO;2-Y
Hughes, 2000
Rossi, 2007, On the analysis of an EFG method under large deformations and volumetric locking, Comput Mech, 39, 381, 10.1007/s00466-006-0035-z
Wu, 2012, A two-level mesh repartitioning scheme for the displacement-based lower-order finite element methods in volumetric locking-free analyses, Comput Mech, 50, 1, 10.1007/s00466-011-0665-7
Chen, 2000, An improved reproducing kernel particle method for nearly incompressible finite elasticity, Comput Meth Appl Mech Eng, 181, 117, 10.1016/S0045-7825(99)00067-5
Vidal, 2002, Locking in the incompressible limit: pseudo-divergence-free element free Galerkin, Revue Européenne des Éléments Finis, 11, 869, 10.3166/reef.11.869-892
Capsoni, 1997, A mixed finite element model for plane strain elastic-plastic analysis Part I. Formulation and assessment of the overall behaviour, Comput Meth Appl Mech Eng, 141, 67, 10.1016/S0045-7825(96)01098-5
De, 2001, Displacement/pressure mixed interpolation in the method of finite spheres, Int J Numer Methods Eng, 51, 275, 10.1002/nme.168
Elguedj, 2008, B-bar and F-bar projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements, Comput Meth Appl Mech Eng, 197, 2732, 10.1016/j.cma.2008.01.012
Liu, 2008, Edge-based smoothed point interpolation methods, Int J Comput Methods Eng Sci Mech, 05, 621, 10.1142/S0219876208001662
Hughes, 2012
Nagtegaal, 1974, On numerically accurate finite element solutions in the fully plastic range, Comput Meth Appl Mech Eng, 4, 153, 10.1016/0045-7825(74)90032-2
Nguyen-Xuan, 2013, An edge-based smoothed finite element method softened with a bubble function (bES-FEM) for solid mechanics problems, Comput Struct, 128, 14, 10.1016/j.compstruc.2013.05.009
Liu, 2010
Timoshenko, 1970
Liu, 2011, A variationally consistent αFEM (VCαFEM) for solution bounds and nearly exact solution to solid mechanics problems using quadrilateral elements, Int J Numer Methods Eng, 85, 461, 10.1002/nme.2977
Wu, 2012, A meshfree-enriched finite element method for compressible and near-incompressible elasticity, Int J Numer Methods Eng, 90, 882, 10.1002/nme.3349
Prandtl, 1921, Hauptaufsätze: Über die Eindringungsfestigkeit (Härte) plastischer Baustoffe und die Festigkeit von Schneiden, J Appl Math Mech, 1, 15
Liu, 2007, A smoothed finite element method for mechanics problems, Comput Mech, 39, 859, 10.1007/s00466-006-0075-4