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Explicit representation for the SO(3) rotation tensor of deformable bodies
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2020-06-25 , DOI: 10.1016/j.aml.2020.106606 Bo-Hua Sun
中文翻译:
形变体的SO(3)旋转张量的显式表示
更新日期:2020-06-25
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2020-06-25 , DOI: 10.1016/j.aml.2020.106606 Bo-Hua Sun
Computation of rotation tensor is essential in the analysis of deformable bodies. This paper proposes an explicit expression for rotation tensor of deformation gradient , and successfully establishes an intrinsic relation between the exponential mapping and the deformation . As an application, Truesdell’s simple shear deformation is revisited. For easy use of our formulation, we provide a Maple code for a general 2D problem.
中文翻译:
形变体的SO(3)旋转张量的显式表示
旋转张量的计算对于可变形体的分析至关重要。本文提出了旋转张量的显式表达式 变形梯度 ,并成功建立了指数映射之间的内在联系 和变形 。作为一种应用,Truesdell的简单剪切变形被重新考虑。为了方便使用我们的公式,我们提供了一个通用2D问题的Maple代码。