Special Issue on Advances on Numerical Methods for Engineering Problems; Guest Editors: Guiyong Zhang and Xiangyang CuiNo Access

Smoothed Point Interpolation Method for Elastoplastic Analysis

G. Y. Zhang

State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China

School of Naval Architecture, Dalian University of Technology, Dalian 116024, P. R. China

Corresponding author.

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Y. Li

Nanyang Technological University, Nanyang Avenue, 639798, Singapore

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X. X. Gao

College of Software, Qingdao University, Qingdao 266071, P. R. China

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D. Hui

School of Naval Architecture, Dalian University of Technology, Dalian 116024, P. R. China

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S. Q. Wang

School of Naval Architecture, Dalian University of Technology, Dalian 116024, P. R. China

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, and

Z. Zong

State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China

School of Naval Architecture, Dalian University of Technology, Dalian 116024, P. R. China

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https://doi.org/10.1142/S0219876215400137Cited by:22 (Source: Crossref)

Abstract

This work formulates the node-based smoothed radial point interpolation method (NS-RPIM), a typical model of smoothed point interpolation method, for the elastoplastic analysis of two-dimensional solids with gradient-dependent plasticity. The NS-RPIM uses radial point interpolation shape functions for field approximation and node-based gradient smoothing for strain field construction. The formulation is based on the parametric variational principle (PVP) in the form of complementarity with the gradient-dependent plasticity being represented by means of the linearization of the yield criterion and the flow rule. Numerical study results have demonstrated the accuracy and stability of the proposed approach for elastoplastic analysis.

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