On the (Meshless Local Petrov-Galerkin) MLPG-EshelbyMethod in Computational Finite Deformation SolidMechanics - Part II

Keywords

Petrov–Galerkin method, Regularized meshless method, Deformation (meteorology), Mathematics, Mathematical analysis

References

• Eshelby Stress Tensor T: a Variety of Conservation Lawsfor T in Finite Deformation Anisotropic Hyperelastic Solid& Defect Mechanics, and the MLPG-Eshelby Method inComputational Finite Deformation Solid Mechanics-Part IZhiyun Han, Satyanadham Atluri — 2014
• The meshless local Petrov-Galerkin (MLPG) methodSatya N. Atluri, Shengping Shen — 2002
• ALTERNATE STRESS AND CONJUGATE STRAIN MEASURES, AND MIXED VARIATIONAL FORMULATIONS INVOLVING RIGID ROTATIONS, FOR COMPUTATIONAL ANALYSES OF FINITELY DEFORMED SOLIDS, WITH APPLICATION TO PLATES AND SHELLS-ISatya N. Atluri — 1984
• CALCULATION OF FRACTURE MECHANICS PARAMETERS FOR AN ARBITRARY THREE-DIMENSIONAL CRACK, BY THE ‘EQUIVALENT DOMAIN INTEGRAL’ METHODG. P. Nikishkov, S. N. Atluri — 1987
• Path-independent integrals in finite elasticity and inelasticity, with body forces, inertia, and arbitrary crack-face conditionsSatya N. Atluri — 1982
• The elastic energy-momentum tensorJ. D. Eshelby — 1975
• On constitutive relations at finite strain: Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardeningSatya N. Atluri — 1984
• On the path independent T∗ integral in nonlinear and dynamic fracture mechanicsT. Nishioka, Takehiro FUJIMOTO, Satya N. Atluri — 1989
• The force on an elastic singularityJ. D. Eshelby — 1951
• Rotations in computational solid mechanicsSatya N. Atluri, Antonio Cazzani — 1995
• Path-independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanicsT. Nishioka, Satya N. Atluri — 1983
• Objectivity of incremental constitutive relations over finite time steps in computational finite deformation analysesRobert Rubinstein, Satya N. Atluri — 1983
• On Some New General and Complementary Energy Theorems for the Rate Problems in Finite Strain. Classical ElastoplasticitySatya N. Atluri — 1980
• A New Implementation of the Meshless Finite Volume Method, Through the MLPG "Mixed" ApproachSatya N. Atluri, Z. D. Han, A. M. Rajendran — 2004
• A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanicsSatya N. Atluri, Tengteng Zhu — 1998
• On Simple Formulations of Weakly-Singular Traction & Displacement BIE, and Their Solutions through Petrov-Galerkin ApproachesZ. D. Han, Satya N. Atluri — 2003

Cited by

• Path-independent integral in fracture mechanics of quasicrystalsJ. Sládek, V. Sládek, Satya N. Atluri — 2015
• SPH and ALE formulations for sloshing tank analysisJian Xu, Jason Wang, Mhamed Souli — 2015
• Mixed Discrete Least Squares Meshfree method for solving the incompressible Navier–Stokes equationsSaeb Faraji Gargari, Morteza Kolahdoozan, M.H. Afshar — 2018
• Investigation of particle method and FEM coupling method for automotive airbagEssam Al-Bahkali, Hisham Elkenani, M. Souli — 2021

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