A direct displacement smoothing meshfree particle formulation for impact failure modeling

Hanchak, 1992, Perforation of concrete slab with 48MPa (7ksi) and 140MPa (20ksi) unconfined compressive strengths, Int J Impact Eng, 12, 1, 10.1016/0734-743X(92)90282-X Unosson, 2006, Projectile penetration and perforation of high performance concrete: experimental results and macroscopic modeling, Int J Impact Eng, 32, 1068, 10.1016/j.ijimpeng.2004.11.003 Balden, 2005, Numerical simulation of the post-failure motion of steel plates subjected to blast loading, Int J Impact Eng, 32, 14, 10.1016/j.ijimpeng.2005.07.013 Guan, 2011, Semi-Lagrangian reproducing kernel particle method for fragment-impact problems, Int J Impact Eng, 38, 1033, 10.1016/j.ijimpeng.2011.08.001 Lian, 2011, A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading, Comput Methods Appl Mech Eng, 200, 1659, 10.1016/j.cma.2011.01.019 Li, 2014, Numerical study of concrete spall damage to blast loads, Int J Impact Eng, 68, 41, 10.1016/j.ijimpeng.2014.02.001 Micallef, 2014, Assessing punching shear failure in reinforced concrete flat slabs subjected to localised impact loading, Int J Impact Eng, 71, 17, 10.1016/j.ijimpeng.2014.04.003 Wu, 2014, Three dimensional fragmentation simulation of concrete structures with a nodally regularized meshfree method, Theor Appl Fract Mech, 72, 89, 10.1016/j.tafmec.2014.04.006 2014 Belytschko, 1996, Meshless methods: an overview and recent developments, Comput Methods Appl Mech Eng, 139, 3, 10.1016/S0045-7825(96)01078-X Li, 2004 Liu, 2009 Nguyen, 2008, Meshless methods: a review and computer implementation aspects, Math Comput Simul, 79, 763, 10.1016/j.matcom.2008.01.003 Chen, 2011, Recent developments in stabilized Galerkin and collocation meshfree methods, Comput Assisted Mech Eng Sci, 18, 3 Wang, 2014, A consistently coupled isogeometric–meshfree method, Comput Methods Appl Mech Eng, 268, 843, 10.1016/j.cma.2013.10.014 Bessa, 2014, A meshfree unification: reproducing kernel peridynamics, Comput Mech, 53, 1251, 10.1007/s00466-013-0969-x Wang, 2014, Quasi-convex reproducing kernel meshfree method, Comput Mech, 54, 689, 10.1007/s00466-014-1022-4 Monaghan, 1988, An introduction to SPH, Comput Phys Commun, 48, 89, 10.1016/0010-4655(88)90026-4 Belytschko, 1994, Element-free Galerkin methods, Int J Numer Methods Eng, 37, 229, 10.1002/nme.1620370205 Belytschko, 2000, Element-free Galerkin methods for dynamic fracture in concrete, Comput Methods Appl Mech Eng, 187, 385, 10.1016/S0045-7825(00)80002-X Wu, 2001, Lagrangian meshfree formulation for analysis of geotechnical materials, J Eng Mechanics-ASCE, 127, 440, 10.1061/(ASCE)0733-9399(2001)127:5(440) Rabczuk, 2003, Simulation of high velocity concrete fragmentation using SPH/MLSPH, Int J Numer Methods Eng, 56, 1421, 10.1002/nme.617 Rabczuk, 2004, Numerical analysis of high speed concrete fragmentation using a meshfree Lagrangian method, Eng Fract Mech, 71, 547, 10.1016/S0013-7944(03)00032-8 Rabczuk, 2006, Modelling dynamic failure of concrete with meshfree methods, Int J Impact Eng, 32, 1878, 10.1016/j.ijimpeng.2005.02.008 Rabczuk, 2006, Application of particle methods to static fracture of reinforced concrete structures, Int J Fract, 137, 19, 10.1007/s10704-005-3075-z Rabczuk, 2007, A three dimensional large deformation meshfree method for arbitrary evolving cracks, Comput Methods Appl Mech Eng, 196, 2777, 10.1016/j.cma.2006.06.020 Rabczuk, 2007, A meshfree thin shell method for nonlinear dynamic fracture, Int J Numer Methods Eng, 72, 524, 10.1002/nme.2013 Rabczuk, 2006, A meshfree thin shell for arbitrary evolving cracks based on an external enrichment, CMES-Computer Model Eng Sci, 16, 115 Zhuang, 2012, Fracture modelling using meshless methods and level sets in 3D: framework and modelling, Int J Numer Methods Eng, 92, 969, 10.1002/nme.4365 Caleyron, 2011, Modeling of reinforced concrete through SPH-FE coupling and its application to the simulation of a projectile's impact onto a slab, Int J Numer Methods Biomed Eng, 27, 882, 10.1002/cnm.1341 Wu, 2013, An evolutionarily coupled finite element-meshfree formulation for modeling concrete behaviors under blast and impact loadings, J Eng Mechanics-ASCE, 139, 525, 10.1061/(ASCE)EM.1943-7889.0000497 Wu, 2014, Fragmentation and debris evolution modeled by a point-wise coupled reproducing kernel–finite element formulation, Int J Damage Mech, 23, 1005, 10.1177/1056789514520797 Rabczuk, 2006, Coupling of meshfree methods with finite elements: basic concepts and test results, Commun Numer Methods Eng, 22, 1031, 10.1002/cnm.871 Wang, 2013, A two-level strain smoothing regularized meshfree approach with stabilized nodal conforming nodal integration for elastic damage analysis, Int J Damage Mech, 22, 440, 10.1177/1056789512455938 Wang, 2014, A regularized Lagrangian meshfree method for rainfall infiltration triggered slope failure analysis, Eng Analysis Bound Elem, 42, 51, 10.1016/j.enganabound.2013.09.001 Liu, 1995, Reproducing kernel particle methods, Int J Numer Methods Fluids, 20, 1081, 10.1002/fld.1650200824 Liu, 1997, Moving least square reproducing kernel method: (I) methodology and convergence, Comput Methods Appl Mech Eng, 143, 113, 10.1016/S0045-7825(96)01132-2 Chen, 2001, A stabilized conforming nodal integration for Galerkin meshfree 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, Nonlinear version of stabilized conforming nodal integration for Galerkin meshfree methods, Int J Numer Methods Eng, 53, 2587, 10.1002/nme.338 Wang, 2011, Galerkin meshfree formulation with stabilized conforming nodal integration for geometrically nonlinear analysis of shear deformable plates, Int J Comput Methods, 8, 685, 10.1142/S0219876211002769 Wang, 2013, A hermite reproducing kernel Galerkin meshfree approach for buckling analysis of thin plates, Comput Mech, 51, 1013, 10.1007/s00466-012-0784-9 Vu-Bac, 2011, A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis, Comput Model Eng Sci, 73, 331 Vu-Bac, 2013, A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics, J Appl Math, 978026 Chen, 1996, Reproducing kernel particle methods for large deformation analysis of nonlinear structures, Comput Methods Appl Mech Eng, 139, 195, 10.1016/S0045-7825(96)01083-3 Chen, 1998, Large deformation analysis of rubber based on a reproducing kernel particle method, Comput Mech, 19, 211, 10.1007/s004660050170 Chen, 1998, Lagrangian reproducing kernel particle method for metal forming analysis, Comput Mech, 22, 289, 10.1007/s004660050361 Wang, 2011, Three dimensional efficient meshfree simulation of large deformation failure evolution in soil medium, Sci China-Technological Sci, 54, 573, 10.1007/s11431-010-4287-7 Li, 2000, Meshfree simulations of shear banding in large deformation, Int J Solids Struct, 37, 7185, 10.1016/S0020-7683(00)00195-5 Ren, 2013, Meshfree simulations of plugging failures in high-speed impacts, Comput Struct, 88, 909, 10.1016/j.compstruc.2010.05.003 Ren, 2011, Meshfree simulations of spall fracture, Comput Methods Appl Mech Eng, 200, 797, 10.1016/j.cma.2010.10.003 Wu, 2005 Chen, 2007, Stability in Lagrangian and semi-Lagrangian reproducing kernel discretizations using nodal integration in nonlinear solid mechanics, Comput Methods Appl Sci, 5, 55 Guan, 2009, Semi-Lagrangian reproducing kernel formulation and application to modeling earth moving operations, Mech Mater, 41, 670, 10.1016/j.mechmat.2009.01.030 Puso, 2008, Meshfree and finite element nodal integration methods, Int J Numer Methods Eng, 74, 416, 10.1002/nme.2181 Wu, 2014, An introduction to the LS-DYNA smoothed particle Galerkin method for severe deformation and failure analysis in solids Malvar, 1997, A plasticity concrete material model for DYNA3D, Int J Impact Eng, 19, 847, 10.1016/S0734-743X(97)00023-7 Crawford, 2011 Willam, 1975, Constitutive model for the triaxial behavior of concrete, 19, 174 CEB-FIP Model Code 90, 1990 Malvar, 1998, Dynamic increase factors for concrete Malvar, 1998, Review of strain rate effects for concrete in tension, ACI Mater J, 95, 735 Rabczuk, 2004, Stable particle methods based on Lagrangian kernels, Comput Methods Appl Mech Eng, 193, 1035, 10.1016/j.cma.2003.12.005 Hughes, 1980, Finite rotation effects in numerical integration of rate constitutive equations arising in large deformation analysis, Int J Numer Methods Eng, 15, 1862, 10.1002/nme.1620151210 Simo, 1998 Vu-Bac, 2014, Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations, Mech Mater, 68, 70, 10.1016/j.mechmat.2013.07.021