Volume 1, Issue 3
A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems

Zhuojia Fu and Wen Chen

Adv. Appl. Math. Mech., 1 (2009), pp. 341-352.

Preview Full PDF BiBTex 1 272
  • Abstract

The boundary particle method (BPM) is a truly boundary-only collocation scheme, whose basis function is the high-order nonsingular general solution or singular fundamental solution, based on the recursive composite multiple reciprocity method (RC-MRM). The RC-MRM employs the high-order composite differential operator to solve a much wider variety of inhomogeneous problems with boundary-only collocation nodes while significantly reducing computational cost via a recursive algorithm. In this study, we simulate the Kirchhoff plate bending problems by the BPM based on the RC-MRM. Numerical results show that this approach produces accurate solutions of plates subjected to various loadings with boundary-only discretization.

  • History

Published online: 2009-01

  • Cited by