Meshfree radial point interpolation method for analysis of viscoplastic problems

被引:25
作者
Kazemi, Z. [1 ]
Hematiyan, M. R. [1 ]
Vaghefi, R. [2 ]
机构
[1] Shiraz Univ, Dept Mech Engn, Shiraz 71936, Iran
[2] Fasa Univ, Dept Mech Engn, Fasa, Iran
关键词
Viscoplastic; Perzyna model; Meshfree radial point interpolation method (RPIM); Cartesian transformation method (CTM); SHEAR BANDS; CONSTITUTIVE-EQUATIONS; DOMAIN INTEGRALS; TANGENT MODULUS; WEAK-FORM; DEFORMATION; SIMULATION; PLASTICITY; ALGORITHM; MODEL;
D O I
10.1016/j.enganabound.2017.06.012
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A truly meshfree radial point interpolation method (RPIM) for analysis of viscoplastic problems is presented. Without recourse to any background cell, a fast and accurate meshfree integration method is employed for computation of the domain integrals in the RPIM. The effects of the total number of nodes and the parameters of the meshfree method on the accuracy of the solutions are studied too. Moreover, the effects of the viscoplastic material parameters on the results are investigated. To demonstrate the accuracy of the proposed method and provide a comprehensive investigation of the viscoplastic and meshfree parameters, several numerical examples are presented. Excellent agreements are observed through comparing the obtained results with those retrieved by the finite element method. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:172 / 184
页数:13
相关论文
共 50 条
  • [11] Evaluation of effective elastic properties of 3D printable interpenetrating phase composites using the meshfree radial point interpolation method
    Ai, Li
    Gao, Xin-Lin
    [J]. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2018, 25 (15-16) : 1241 - 1251
  • [12] The static and dynamic analysis for the coupling hygro-electro-mechanical multifield problems via stabilized node-based smoothed radial point interpolation method
    Nie, Bin
    Meng, Guangwei
    Zhou, Liming
    [J]. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2023, 30 (13) : 2651 - 2667
  • [13] Meshfree method analysis of Biot's consolidation using the node-based smoothed point interpolation method (NS-PIM)
    Pan, ShiYang
    Li, TongChun
    Cheng, Jing
    Yuan, Ping
    Ning, Xinyang
    [J]. ENGINEERING COMPUTATIONS, 2018, 35 (08) : 2904 - 2930
  • [14] A general 3D contact smoothing method based on radial point interpolation
    Qian, Xiaoxiang
    Yuan, Huina
    Zhou, Mozhen
    Zhang, Bingyin
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 257 : 1 - 13
  • [15] Upper bound limit analysis using radial point interpolation meshless method and nonlinear programming
    Liu, Fengtao
    Zhao, Jidong
    [J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2013, 70 : 26 - 38
  • [16] Radial point interpolation method and high-order continuation for solving nonlinear transient heat conduction problems
    Mesmoudi, Said
    Askour, Omar
    Braikat, Bouazza
    [J]. COMPTES RENDUS MECANIQUE, 2020, 348 (8-9): : 745 - 758
  • [17] Mixed basis function for radial point interpolation meshless method in electromagnetics
    Afsari, Arman
    [J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2015, 29 (06) : 786 - 797
  • [18] Free vibrations and buckling analysis of cross-ply composite nanoplates by means of a Mesh Free Radial Point Interpolation Method
    Saitta, Serena
    Luciano, Raimondo
    Vescovini, Riccardo
    Fantuzzi, Nicholas
    Fabbrocino, Francesco
    [J]. COMPOSITE STRUCTURES, 2022, 298
  • [19] An efficient midpoint and Richardson extrapolation-based rapid Quadrature for fracture problems using Radial Point Interpolation Method
    Vutla, Sai Naga Kishore
    Vasu, Thamarai Selvan
    Jeyakarthikeyan, P. V.
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2025, 175
  • [20] Smoothed Point Interpolation Method for Elastoplastic Analysis
    Zhang, G. Y.
    Li, Y.
    Gao, X. X.
    Hui, D.
    Wang, S. Q.
    Zong, Z.
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2015, 12 (04)