A quadratic variation indirect boundary element method for traction boundary-value problems of two-dimensional elastostatics
| Autor: | J. O. Watson, Jiali Lu |
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| Rok vydání: | 1988 |
| Předmět: |
Mathematical analysis
Computational Mechanics Mixed boundary condition Geotechnical Engineering and Engineering Geology Singular boundary method Boundary knot method Robin boundary condition Mechanics of Materials Method of fundamental solutions General Materials Science Cauchy boundary condition Boundary value problem Boundary element method Mathematics |
| Zdroj: | International Journal for Numerical and Analytical Methods in Geomechanics. 12:183-196 |
| ISSN: | 1096-9853 0363-9061 |
| Popis: | Boundary integral equations for traction boundary-value problems of two-dimensional elastostatics are derived by the indirect boundary element method. Quadratic variation functions for the representation of geometry, fictitious forces and displacements over each boundary element are described. A system of equations approximating to the boundary integral equations is obtained by a Galerkin formulation in which the integral equation is written at Gauss integration points of elements. The method of computation of the Cauchy principal value is described. Examples of application to the analysis of stress and displacement around underground excavations demonstrate the accuracy and efficiency of the formulation. |
| Databáze: | OpenAIRE |
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