Airy-based static limit analysis of structures using stabilized radial point interpolation method

Le Van Canh (), Ho Le Huy Phuc and Nguyen Hoang Phuong
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Le Van Canh: International University, Vietnam National University
Ho Le Huy Phuc: International University, Vietnam National University
Nguyen Hoang Phuong: International University, Vietnam National University

HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ENGINEERING AND TECHNOLOGY, 2022, vol. 12, issue 1, 65-78

Abstract: This paper presents a novel formulation for static limit analysis of structures, for which the Airy stress function is approximated using stabilized Radial Point Interpolation Mesh-free method (RPIM). The stress field is determined as second-order derivatives of the Airy function, and the equilibrium equations are automatically satisfied a priori. The so-called Stabilized Conforming Nodal Integration (SCNI) is employed to ensure a present method is truly a mesh-free approach, meaning that all constraints in problems are only enforced at nodes. With the use of the Airy function, SCNI, and Second-Order Cone Programming (SOCP), the size of the resulting problem is kept to be minimum. Several benchmark problems having arbitrary geometries and boundary conditions are investigated. The obtained numerical solutions are compared with those available in other studies to perform the computational aspect of the proposed method.

Keywords: airy stress function; radial point interpolation method; SCNI; SOCP; static limit analysis (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:bjw:techen:v:12:y:2022:i:1:p:65-78

DOI: 10.46223/HCMCOUJS.tech.en.12.1.2020.2022

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