An integral equation formulation of three dimensional anisotropic elastostatic boundary value problems

Autor:	F. J. Rizzo, S. M. Vogel
Rok vydání:	1973
Předmět:	Partial differential equation Mechanics of Materials Mechanical Engineering Mathematical analysis Fundamental solution Free boundary problem Boundary (topology) Method of fundamental solutions General Materials Science Mixed boundary condition Boundary value problem Integral equation Mathematics
Zdroj:	Journal of Elasticity. 3:203-216
ISSN:	1573-2681 0374-3535
DOI:	10.1007/bf00052894
Popis:	An approximate solution capability is developed to handle three dimensional anisotropic elastostatic boundary value problems. The method depends crucially on the existence and explicit definition of a fundamental solution to the governing partial differential equations. The construction of this solution for the anisotropic elastostatic problem is presented as is the derivation of the expression for the surface tractions necessary to maintain the fundamental solution in a bounded region. After the fundamental solution and its associated surface tractions are determined, a real variable boundary integral formula is generated which can be solved numerically for the unknown surface tractions and displacements in a well-posed boundary value problem. Once all boundary quantities are known, the field solution is given by a Somigliana type integral formula. Techniques for numerically solving the integral equations are discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1b47a3f838b703239713f85183bb3295 https://doi.org/10.1007/bf00052894 Zobrazit plný text záznamu Full text from SpringerLink