自然ひずみを用いた有限変形について : 第1報,材料線素に着目したひずみ表示と主軸回転の関係について

概要

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For large deformation problems the well-known Green-Zerna theory is widely applied for elastic analysis. However, since this theory is independent of a strain history, the velocity strain (also known as the rate of deformation tensor) is mainly used for large plastic deformation in recent studies. In general, the rotation of the principal axis contains a rotation in space but also a change of the principal fiber element. Therefore, since the expressions of this strain are not associated with a fiber element, the velocity strain cannot discriminate the rigid rotation, which is the rotation of the principal fiber element, from the rotation of a fiber element. In this paper the expressions of the natural strain associated with a certain fiber element, which is elongated and rotated by deformation, are mentioned. The natural strain expressing the distortion of a fiber element is effective for large deformations on which an anisotropy brought about deformation is embedded in fiber elements.
一般社団法人日本機械学会の論文
1991-02-25