Elastic fields in joined half-spaces due to nuclei of strain

Autor:	S. C. Sanday, H. Y. Yu
Rok vydání:	1991
Předmět:	Algebraic equation Singularity Planar Mathematical analysis Geometry General Medicine Levy–Mises equations Boundary value problem Stress functions Galerkin method Mathematics Image (mathematics)
Zdroj:	Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences. 434:503-519
ISSN:	2053-9177 0962-8444
DOI:	10.1098/rspa.1991.0110
Popis:	The Galerkin vector stress functions are obtained for the complete set of 40 physically significant nuclei of strain in two joined elastic half-spaces of different elastic properties as an extension of the solutions for the nuclei of strain in the half-space. Two types of boundary condition at the planar interface are considered: perfect bonding and frictionless contact. Simplified expressions for the Galerkin vectors are introduced which reduce the complexity of the expressions for the displacements and stresses in the half-space and the two-material problems. The solutions are obtained by simply solving a set of linear simultaneous algebraic equations to find the strengths of the image and fictitious nuclei of strain which make the resultant elastic field satisfy the boundary conditions and show the proper singularity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8402d40606d28c1161f0bf17e2c4f664 https://doi.org/10.1098/rspa.1991.0110 Zobrazit plný text záznamu