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The Method of Fundamental Solutions for Three-dimensional Elastostatics Problems by Andreas Poullikkas; Andreas Karageorghis; Georgios Georgiou is a Engineering article available to read on EtoBox.

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We consider the application of the method of fundamental solutions to isotropic elastostatics problems in three space dimensions. The displacements are approximated by linear combinations of the fundamental solutions of the Cauchy-Navier equations of elasticity, which are expressed in terms of sources placed outside the domain of the problem under consideration. The final positions of the sources and the coefficients of the fundamental solutions are determined by enforcing the satisfaction of the boundary conditions in a least squares sense. The applicability of the method is demonstrated on two test problems. The numerical experiments indicate that accurate results can be obtained with relatively few degrees of freedom.

Who reads The Method of Fundamental Solutions for Three-dimensional Elastostatics Problems?

Author

Andreas Poullikkas; Andreas Karageorghis; Georgios Georgiou

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0045-7949)

Published

2002

Language

EN

Field

Engineering (Physical Sciences)