522 仮定板厚を用いた非圧縮超弾性シェル要素の開発とその評価(S03-2 有限要素法の最近の動向,S03 有限要素法の最近の動向/メッシュフリー法)

概要

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The objective of this study is to develop a finite strain shell element whose material is restricted to hyperelasticity. This shell element is based on MITC shell element which was developed by KJ Bathe and EN Dvorkin in 1984 to perform locking-free behaviour using assumed transverse shear strains. In addition to this MITC formulation, we treat thickness change as another assumed variable. In our formulation, thickness change is assumed to be uniform in the element, and evaluated at the middle surface via incompressibility. Unknown pressure, which occurs in incompressible materials, is eliminated at the element level using plane stress condition. The advantage of this technique is that a well-conditioned stiffness matrix can be obtained. Numerical assessment was conducted in this study to illustrate the performance of the present shell element through some examples.
社団法人日本機械学会の論文
2005-09-18