Jc. Sung et Dc. Wong, EVALUATION OF ELASTODYNAMIC INTERFACIAL AND TANGENTIAL STRESSES BY SIMPLE REGULARIZATION METHOD, Computers & structures, 50(2), 1994, pp. 191-199
The traction boundary integral equation (TBIE) method is used to evalu
ate the elastodynamic interfacial and tangential stresses along the bo
undary between a scatterer (inclusion) and the surrounding elastic med
ium (matrix). The hypersingular arisen in the formulation is regulariz
ed by a simple method. By employing the static fundamental stress fiel
ds and with the use of some identities and certain requirements on the
choice of shape functions, the terms related to hypersingular are red
uced to the evaluations which are directly related to the end points o
f the element under consideration. The validation of numerical example
s with those obtained by analytic method confirms the effectiveness of
the present approach. An extension of the present method to the inves
tigation of scattering problems from a crack is also presented.