Affordable Access

Publisher Website

The local point interpolation–boundary element method (LPI–BEM) applied to the solution of mechanical 3D problem of a microdilatation medium

Authors
Journal
European Journal of Mechanics - A/Solids
0997-7538
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.euromechsol.2014.06.002
Keywords
  • Micromorphic
  • Microdilatation
  • Isotropic Bem
  • Meshfree Strong Form
Disciplines
  • Mathematics

Abstract

Abstract A numerical solution procedure of three-dimensional constrained microstretch (microdilatation) elastic problem is presented. The approach called local point interpolation–boundary element method (LPI–BEM) uses a partition of the kinematical variables into complementary and particular parts. The complementary fields are obtained by isotropic boundary element method. The particular integrals are determined by solving the corresponding strong form differential equations using local radial point interpolation. The effectiveness and accuracy of the approach are proven on some simple examples. The latter are also used in order to highlight some peculiarities and potentialities of such extended continuum mechanical approach.

There are no comments yet on this publication. Be the first to share your thoughts.