有限要素法による線形粘弾性体の数値的応力解析

概要

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In recent years the finite element method is more and more frequently being used in the analysis of elasticity, of plasticity, of elastoplasticity and of structure. In the analysis of viscoelasticity, however, the time required for the purpose and temperature dependency make it difficult to use the method. It is the purpose of this paper to show that the correspondence principle can be applied to the solution of problems concerning linear viscoelasticity by using the finite element method. But there are many problems in connection with solution of elasticity that are algebraically too complicated to be readily inverted by the formal inversion method. R. Bellman proposed a method for approximate inversion of the Laplace transform which involves the idea of dynamic programming. The method was partially adopted in this paper with necessary modification, and considerably accurate numerical solution has been achieved.
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