×

zbMATH — the first resource for mathematics

Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties. (English) Zbl 0961.74073
Summary: We present 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 sub-domain. On the surface of a sub-domain, both displacements and traction vectors are unknown generally. If we choose a modified fundamental solution for governing equation, which vanishes on the local boundary, 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 local boundaries are considered in the numerical analysis.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
74B05 Classical linear elasticity
74E05 Inhomogeneity in solid mechanics
PDF BibTeX XML Cite
Full Text: DOI