Validity conditions of the direct boundary integral equation for exterior problems of plane elasticity

Details Validity conditions of the direct boundary integral equation for exterior problems of plane elasticity Validity conditions of the direct boundary integral equation for exterior problems of plane elasticity

2007-05-15

arxiv.org/abs/0705.2130v1

Comptes Rendus Mecanique 335 (2007) 219-224

Physics

Classical Physics

Scientific paper

10.1016/j.crme.2007.03.010

Writing the boundary integral equation for an exterior problem of elasticity is subordinate so far to hypotheses on the asymptotical behaviour at infinity of solutions. The sufficient conditions met in the literature are too restrictive and do not notably cover the case when the loading has a non zero resultant force. This difficulty can be removed by considering the problem in displacements relatively to one point located at a finite distance from the loading. Finally, this auxiliary problem allows widening the conditions of validity of the usual formulation of the direct integral method.

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