Zirakashvili, Natela Numerical simulation of some non-classical elasticity problems for the half-space by the boundary element method. (English) Zbl 1409.74007 Bull. TICMI 22, No. 1, 41-58 (2018). 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 Keywords:non-classical elasticity problem; boundary element method; homogeneous isotropic half space; half plane Software:Matlab PDFBibTeX XMLCite \textit{N. Zirakashvili}, Bull. TICMI 22, No. 1, 41--58 (2018; Zbl 1409.74007) Full Text: EMIS Link