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S.V. Tsinopoulos*, D. Polyzos* and D.E. Beskos#

*Department of Mechanical Engineering and #Department of Civil Engineering, University of Patras, Patras, Greece

doi:10.4203/ccp.44.1.1

S.V. Tsinopoulos, D. Polyzos, D.E. Beskos, "BEM Formulation for (3D) Elastic Incompressible Solids", in B.H.V. Topping, (Editor), "Advances in Boundary Element Methods", Civil-Comp Press, Edinburgh, UK, pp 1-8, 1996. doi:10.4203/ccp.44.1.1

Abstract

The boundary element formulation of three-dimensional isotropic, incompressible, linear elastic solids under static or frequency domain dynamic conditions, is presented. Integral expressions are provided for displacements, stresses and hydrostatic pressure. It is proven that the incompressible fundamental tensors can be obtained from corresponding compressible ones by simply putting the Poisson's ratio nu equal to 0.5 in elastostatics and the P-wave number k_p equal to zero in elastodynamics. Numerical examples with existing analytical solutions are solved to illustrate the method and demonstrate its accuracy and efficiency.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 44 ADVANCES IN BOUNDARY ELEMENT METHODS Edited by: B.H.V. Topping Paper I.1 BEM Formulation for (3D) Elastic Incompressible Solids S.V. Tsinopoulos, D. Polyzos and D.E. Beskos# *Department of Mechanical Engineering and #Department of Civil Engineering, University of Patras, Patras, Greece doi:10.4203/ccp.44.1.1 purchase the full-text of this paper Full Bibliographic Reference for this paper S.V. Tsinopoulos, D. Polyzos, D.E. Beskos, "BEM Formulation for (3D) Elastic Incompressible Solids", in B.H.V. Topping, (Editor), "Advances in Boundary Element Methods", Civil-Comp Press, Edinburgh, UK, pp 1-8, 1996. doi:10.4203/ccp.44.1.1 Abstract The boundary element formulation of three-dimensional isotropic, incompressible, linear elastic solids under static or frequency domain dynamic conditions, is presented. Integral expressions are provided for displacements, stresses and hydrostatic pressure. It is proven that the incompressible fundamental tensors can be obtained from corresponding compressible ones by simply putting the Poisson's ratio nu equal to 0.5 in elastostatics and the P-wave number k_p equal to zero in elastodynamics. Numerical examples with existing analytical solutions are solved to illustrate the method and demonstrate its accuracy and efficiency. purchase the full-text of this paper (price £20) go to the next paper return to the table of contents return to the book description purchase this book (price £52 +P&P)
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