Elastic analysis of a half-plane containing an inclusion and a void using a mixed volume and boundary integral equation method. (English) Zbl 1259.74053
Summary: A mixed volume and boundary integral equation method is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing an isotropic or anisotropic inclusion and a void subject to remote loading parallel to a traction-free boundary. A detailed analysis of the stress field is carried out for three different geometries of the problem. It is demonstrated that the method is very accurate and effective for investigating local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions and multiple voids.
MSC:
| 74S15 | Boundary element methods applied to problems in solid mechanics |
| 74E05 | Inhomogeneity in solid mechanics |
Keywords:
mixed volume and boundary integral equation method; volume integral equation method; boundary integral equation method; half-plane; isotropic inclusion; anisotropic inclusion; void; Green’s functionReferences:
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