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A Meshless Local Petrov-Galerkin (MLPG) Approach for 3-Dimensional Elasto-dynamics

Z. D. Han1, S. N. Atluri2

Knowledage Systems Research, LLC
Center for Aerospace Research & Education University of California, Irvine5251 California Avenue, Suite 140Irvine, CA, 92612, USA

Computers, Materials & Continua 2004, 1(2), 129-140. https://doi.org/10.3970/cmc.2004.001.129

Abstract

A Meshless Local Petrov-Galerkin (MLPG) method has been developed for solving 3D elasto-dynamic problems. It is derived from the local weak form of the equilibrium equations by using the general MLPG concept. By incorporating the moving least squares (MLS) approximations for trial and test functions, the local weak form is discretized, and is integrated over the local sub-domain for the transient structural analysis. The present numerical technique imposes a correction to the accelerations, to enforce the kinematic boundary conditions in the MLS approximation, while using an explicit time-integration algorithm. Numerical examples for solving the transient response of the elastic structures are included. The results demonstrate the efficiency and accuracy of the present method for solving the elasto-dynamic problems; and its superiority over the Galerkin Finite Element Method.

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APA Style
Han, Z.D., Atluri, S.N. (2004). A meshless local petrov-galerkin (MLPG) approach for 3-dimensional elasto-dynamics. Computers, Materials & Continua, 1(2), 129-140. https://doi.org/10.3970/cmc.2004.001.129
Vancouver Style
Han ZD, Atluri SN. A meshless local petrov-galerkin (MLPG) approach for 3-dimensional elasto-dynamics. Comput Mater Contin. 2004;1(2):129-140 https://doi.org/10.3970/cmc.2004.001.129
IEEE Style
Z.D. Han and S.N. Atluri, "A Meshless Local Petrov-Galerkin (MLPG) Approach for 3-Dimensional Elasto-dynamics," Comput. Mater. Contin., vol. 1, no. 2, pp. 129-140. 2004. https://doi.org/10.3970/cmc.2004.001.129



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