応力逆解析手法の構築と日本列島の応力増分分布推定への応用

Abstract

A new inversion method of identifying stress, called the stress inversion, is developed. The stress inversion method finds a stress distribution from a strain distribution, by using Airy's stress function that produces self-equilibrating stress components. It is shown that a boundary value problem can be posed for Airy's stress function when one stress-strain relation is assumed. Since the weak form of the boundary value problem uses displacement instead of strain, the method is suitable when actual measured data are used. As an example, the stress increment distribution of the Japanese Islands is predicted by using the nation-wide GPS array that measures daily displacement increment. Some discussions are made on the applicability of the stress inversion method to the GPS data.