On Some Basic Properties of Generalized Solution in Elastostatics

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概要

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• In the present paper, some basic propertiesd of generalized solutions for the equation of 3-dimensional elastostatics were considered and the following results were obtained : (a) The elementary solution of elastostatics (Somigliana's tensor) satisfies the basic equation in the sense of distribution. (b) The basic formulas for the theory of elastic pontentials are derived from the convolution of elementary solution and a distribution. (c) If body force is absent, any generalized solution for the bounded domain is infinitely differentiable. (d) The displacement solution for the problem of uniform extension of an infinite body is explained as a generalized solution in the space of slowly increasing distribution. (e) If a displacement solution of the equation with no body force is bounded in the whole domain R^3,then it is a constant.

• 一般社団法人日本機械学会の論文

著者

• Furuhashi Rohzo

  Faculty Of Engineering Meiji University

関連論文

• On Some Basic Properties of Generalized Solution in Elastostatics
• On the Uniqueness and the Existence of Solution In Elastostatics for Inhomogeneous Materials

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