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Numerical simulation of some non-classical elasticity problems for the half-space by the boundary element method. (English) Zbl 1409.74007

Summary: In the present work non-classical elasticity problems for the homogeneous isotropic elastic half-space are stated and solved. The article considers the plane deformation. Namely, non-classical problems are considered, which are formulated in the following way: what normal stress is supposed to be applied to the part of the half-plane boundary to obtain the pre-given stress or displacement at the segment inside the body. The problems are solved with a boundary element method. There are test examples given showing the value of normal stress supposed to apply to the section of the half-plane boundary to obtain the pre-given stress or displacement at the segment inside the body. By using MATLAB software, the numerical results are obtained and corresponding graphics are constructed.

MSC:

74B05 Classical linear elasticity
65N38 Boundary element methods for boundary value problems involving PDEs
74S15 Boundary element methods applied to problems in solid mechanics

Software:

Matlab
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