線形粘弾性問題の新しい境界要素解析とその応用

抄録

Viscoelastic analysis is one of the most important subjects in engineering. Several attempts have been so far made for the integral equation approach to viscoelastic problems. To authors' knowlege, however, there is no available literature for the application of a more direct boundary element method to the time dependent problems of this kind using a step-wise time integration scheme. In this paper, we propose a direct boundary integral formulation. This formulation needs only Kelvin's fundamental solution of isotropic elastostatics with material constants prescribed as explicit functions of time. Successive application of this solution scheme can determine the whole behavior of viscoelastic problems. Finally, some sample problems of viscoelastic materials are computed by means of the proposed method of solution to demonstrate its potential usefulness.