板殼構造の弾塑性大たわみ挙動に関する解析

概要

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The geometrical and material nonlinearities associated with the elasto-plastic analysis of plate and shell structures, increases the complexity of the problem and make it necessary to obtain the solutions for stress and deflection with the same level of accuracy. Several researchers have found that the finite element method, using a solutions of the above problem. Eventhrough, the hybrid method, which is based on a functional for the principle of minimum complementary energy, has got only fewer degree of freedom, it is found to be a more accurate method is stress calculations. However, it seems that the case of geometrical nonlinearities have been more extensively studied than the material nonlinearities. This paper is concerned with the elasto-plastic analysis of plate and shell structures, using a modified version of the theory of Atluri, et al. For elasto-plastic materials, when the stress distribution across the plate thickness is expressed as a continuous function using the delta-sequence, numerical integration can be done away with. This approach introduces considerable reduction of computer time and storage requirements. The results obtained here are discussed in comparison with those obtained though other methods in some of the published works.
社団法人日本船舶海洋工学会の論文
1989-08-25