A. Rezaei Mojdehi1,2, A. Darvizeh3, A. Basti2
CMC-Computers, Materials & Continua, Vol.29, No.1, pp. 15-40, 2012, DOI:10.3970/cmc.2012.029.015
Abstract The meshless local Petrov-Galerkin approach is proposed for the nonlinear dynamic analysis of three-dimensional (3D) elasto-plastic problems. Galerkin weak-form formulation is applied to derive the discrete governing equations. A weak formulation for the set of governing equations is transformed into local integral equations on local sub-domains by using a unit test function and local weak-form formulation in three dimensional continua for the general dynamic problems is derived. Three dimensional Moving Least-Square (MLS) approximation is considered as shape function to approximate the field variable of scattered nodes in the problem domain. Normality hypothesis of plasticity is adopted to define the stress-strain… More >
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