Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties

J. Sladek, V. Sladek, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

126 Scopus citations

Abstract

This paper presents the local boundary integral formulation for an elastic body with nonhomogeneous material properties. All nodal points are surrounded by a simple surface centered at the collocation point. Only one nodal point is included in each the sub-domain. On the surface of the sub-domain, both displacements and traction vectors are unknown generally. If a modified fundamental solution, for governing equation, which vanishes on the local boundary is chosen, the traction value is eliminated from the local boundary integral equations for all interior points. For every sub-domain, the material constants correspond to those at the collocation point at the center of sub-domain. Meshless and polynomial element approximations of displacements on the local boundaries are considered in the numerical analysis.

Original languageEnglish
Pages (from-to)456-462
Number of pages7
JournalComputational Mechanics
Volume24
Issue number6
DOIs
StatePublished - Jan 2000

Fingerprint Dive into the research topics of 'Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties'. Together they form a unique fingerprint.

Cite this