A Cell-Based Smoothed Radial Point Interpolation Method for Upper Bound Limit Analysis

CHEN Shenshen; HU Ying; ZHANG Wei; WANG Fangxin

doi:10.21656/1000-0887.450222

Volume 46 Issue 6

Jun. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(6): 791-799

CHEN Shenshen, HU Ying, ZHANG Wei, WANG Fangxin. A Cell-Based Smoothed Radial Point Interpolation Method for Upper Bound Limit Analysis[J]. Applied Mathematics and Mechanics, 2025, 46(6): 791-799. doi: 10.21656/1000-0887.450222

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A Cell-Based Smoothed Radial Point Interpolation Method for Upper Bound Limit Analysis

doi: 10.21656/1000-0887.450222

1. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, P.R.China;
2. College of Civil Science and Engineering, Yangzhou University, Yangzhou, Jiangsu 225127, P.R.China

Funds:

The National Science Foundation of China(12172131；12162014)

Received Date: 2024-07-31
Rev Recd Date: 2024-09-04

Available Online: 2025-06-30

Abstract

Abstract

Based on the upper bound theorem of limit analysis, a solution procedure for limit analysis of structures made of rigid-perfectly plastic material was proposed with the cell-based smoothed radial point interpolation method (CS-RPIM). To impose the essential boundary conditions directly, the RPIM was utilized to construct a kinematically admissible velocity field. The plastic incompressibility conditions of plane stress and plane strain problems were treated respectively with 2 different methods. The upper bound problem was formulated mathematically through minimization of the dissipation power subject to a set of equality constraints and this minimization problem can be transformed into a standard 2nd-order cone programming one, which can be easily solved with the primal-dual interior point method. Numerical examples demonstrate that, the proposed method can provide reasonable and satisfactory upper bound limit load multipliers for rigid-perfectly plastic structures. In addition, the computational results are very insensitive to the mesh distortion.

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References(27)

References

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