座標系の回転に伴う, 応力空間における等価応力状態について

概要

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The stress state of a continuum is represented by the stress tensor Σ which is specified by the stress components dependent on a coordinate system in a physical space. For a geometrical representation of a stress state, a stress space having a Cartesian coordinate system of five or six dimensions with stress components as axes is used. When Σ is specified by two different coordinate system, two different stress vectors result in spite of the same Σ. The relation is presented with respect to the eigenvectors between the physical space and the stress space. By this relation, yield surfaces are able to be compared with each other, even if they are obtained in different coordinate systems. When two yield surfaces, F and F^^- obtained ion different coordinate systems are taken to be plastic potentials, the relation between two strain increment vectors proportional to ∇F and ∇^^-F^^- is consistent with that which holds good in vectors of stress space.
一般社団法人日本機械学会の論文
1986-08-25