有限回転を考慮した薄肉弾性体の幾何学的非線形解析法

概要

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The deformation near a particle of a thin elastic continuum may be successive superposition of a rigid-body finite translation, a pure finite stretch along the principal directions and a rigid-body finite rotation. In former many papers for a finite deformation theory of thin elastic continua, the displacement, the strain and the deformation gradient fields were mainly investigated. Recently the effect of rotations has attracted special interests since the rotation part of deformation is of particular importance in the non-linear theories of thin continua such as bars, plates and shells. In several papers for the influence of finite rotations, the description of the rotation field is based on the Total-Lagrangian formulation. But that description is not suitable for numerical analyses of large deformation problems. In this paper, more suitable method for large deformation analyses is lead, applying the Updated-Lagrangian formulation description.
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