極限解析における上下界定理の新しい解釈とその適用に関する研究

概要

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The classical methods of analysing the failure state of geo-materials, e.g. the bearing capacity theories, are classified into three groups: (a) theories of characteristic line field (b) limit equilibrium methods and (c) limit analysis. Many of the methods of practical use are categorized as the limit equilibrium method which are considered as the easy-to-handle tools for engineering practice. On the other hand, in the limit analysis method, the upper and lower bound solutions of limit load of the failure problems can be obtained using the principle of maximum plastic work. In this paper, the relationship of the solutions obtained by the limit equilibrium method and the limit analysis are examined based on the theory of plasticity, then, a set of new methods (stress equilibrium methods) of obtaining both of the upper and the lower bound solutions by searching the equilibrium stress state are proposed.
福山大学の論文