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Application of local boundary integral equation method into micropolar elasticity. (English) Zbl 1021.74047
Summary: We present a new meshless method for solving boundary value problems in micropolar elasticity. The method is based on the local boundary integral equation (LBIE) method with the moving least squares approximation of physical quantities. Randomly scattered nodes are utilized for interpolation of field data. Every node is surrounded by a simple surface centered at the collocation point in the LBIE method. On the surface of subdomains the LBIEs are written, and fundamental solutions corresponding to uncoupled governing equations are derived. To eliminate the traction vector in the LBIE, the modified fundamental solution is introduced.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
74A35 Polar materials
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