A cell-based smoothed radial point interpolation method applied to kinematic limit analysis of thin plates. (October 2022)

• Record Type: Journal Article
• Authors: Chen, Shenshen; Xu, Mengyao; Zhu, Xianyi
• Is Part Of: Engineering analysis with boundary elements. Volume 143(2022)
• Page Start: 710
• Page End: 718
• Publication Date: 2022-10
• Subjects: Kinematic limit analysis -- Thin plates -- Radial point interpolation method -- Gradient smoothing technique -- Second order cone programming; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2022.07.021
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The cell-based smoothed radial point interpolation method in conjunction with a second order cone programming is proposed for kinematic limit analysis of rigid-perfectly plastic thin plates in this paper. The transverse displacement field is interpolated by the radial point interpolation method (RPIM) and no rotational degrees of freedom are involved. The gradient smoothing technique is utilized to construct smoothed curvature field in every smoothing domain and there is no need to compute the second derivatives of shape functions. The rotational boundary conditions are satisfied in the process of curvature smoothing and the translational boundary conditions can be directly enforced without any special treatment. The limit analysis problem of thin plates is formulated by minimizing the dissipation power subject to a set of equality constraints and this minimization problem can be expressed easily as a standard second order cone programming. It is testified from the computational results that the proposed procedure can provide reasonable and satisfactory upper bound limit load multipliers for thin plates.