特殊直交群SO(3)を含んだ有限要素法定式化 : 第1報, 応力速度と接線剛性の関係

概要

論文の詳細を見る
Three-dimensional large-rotation analysis of a beam by the finite-element method is possible using a beam element with the special orthogonal group SO(3). It is known that the stress rate used in the constitutive equation governs the tangent stiffness. Therefore, in this paper, the relationship between the stress rate and the tangent stiffness will be shown. The stress rates used are Truesdell stress rate, Jaumann stress rate, Neo-Green stress rate and Ishihara stress rate. It will also be shown that all tangent stiffnesses have the second variation of velocity gradient tensor because of S0(3), and the tangent stiffness of Ishihara stress rate has only material stiffness and geometric stiffness of rigid rotation. In the upcoming paper, tangent stiffnesses of those stress rates of a beam element will be shown.
一般社団法人日本機械学会の論文
1996-07-25