非線形, 有限変形弾性理論 : II.一般原理と非線形弾性法則

概要

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As the successive items of the problem, there are deduced, in the second report, the energy principle, the concept of pseudo-stress valid for describing, together with the strain, finite elastic deformation and the existence of elastic potential, and are further introduced, basing on them, the virtual work principle, the Hamilton's principle, the principle of complementary energy and the nonlinear elasticity law. It is of great fortune for us that all of these results have the same form as for small deformation. Finally the validity of the present theory is confirmed by applying it to the case of simple shear deformation accompanied with rigid body rotation and showing that the principal axes of strain and pseudo-stress coincide with each other for such deformation.
一般社団法人日本機械学会の論文
1960-07-25