Meshless SPH Method for Anisotropic Elasto-plastic Analysis

doi:10.3901/JME.2021.18.153

Abstract

Abstract: The meshless Smoothed Particle Hydrodynamics (SPH) method is extended for the anisotropic elasto-plastic analysis. The moving least square function is firstly introduced to construct the SPH approximation function to improve the computational precision. The total Lagrangian SPH formulation is applied to reduce the computational effort, as well as eliminated the tensile unstability problem in the conventional SPH method. The inherent zero-energy problem is suppressed by exerting an hour-glass control mechanism. The mass, momentum and energy conservation functions are constructed by the corrected SPH method, where the anisotropic stress-strain relationship is established by the mapping return algorithm based on the Hill48 yield criterion and Swift isotropic hardening model. Finally, several numerical examples are solved by the proposed anisotropic elasto-plastic SPH model, of which the stability and the effectiveness are verified by comparing the results with ones obtained from finite element analysis.

Key words: smoothed particle hydrodynamics, anisotropic, elasto-plastic, moving least square, hourglass control

CLC Number:

TG301

LI Jiao, FU Fangyan, WANG Guangchun, GUAN Yanjin, ZHAO Guoqun, LIN Jun. Meshless SPH Method for Anisotropic Elasto-plastic Analysis[J]. Journal of Mechanical Engineering, 2021, 57(18): 153-163.

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