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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 44
Edited by: B.H.V. Topping
Paper V.2

Computation of T-Stresses in Elastodynamics by the Boundary Element Method

J. Sladek and V. Sladek

Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava, Slovakia

Full Bibliographic Reference for this paper
J. Sladek, V. Sladek, "Computation of T-Stresses in Elastodynamics by the Boundary Element Method", in B.H.V. Topping, (Editor), "Advances in Boundary Element Methods", Civil-Comp Press, Edinburgh, UK, pp 105-112, 1996. doi:10.4203/ccp.44.5.2
It is presented a path independent integral formulation for computation of dynamic T-stresses in a two-dimensional body with a stationary crack. For solution of the crack problem the boundary element method is used. The uniqueness of the BEM formulation of a general crack problem is made by the system of displacement and traction equations on the outer boundary of body and the crack surface, respectively. The mutual M-integral expressed through dynamic j- integrals provides sufficient information for determining T-stresses on the base of found relation between the M-integral and T-stresses. The integral representation of the T-stress is presented in the time-domain and the Laplace transform-domain too. The boundary layer and displacement field methods are used to test the accuracy of the suggested integral method. Numerical results are given for the rectangular plate with a central crack.

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