On the distinction between large deformation and large distortion for anisotropic materials
On the distinction between large deformation and large distortion for anisotropic materials
复制标题
关于各向异性材料大变形和大畸变的区别
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
R. Brannon
中科院分区：
文献类型：
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作者：
R. Brannon
如果主拉伸的比率明显不同于统一，则运动会涉及大的变形。如果变形梯度张量与恒等式显着不同，则运动涉及大变形。不幸的是，刚性旋转符合大变形的定义，而声称对大变形有效的模型通常不适用于大变形。使用理想化纤维增强复合材料中应力的精确解来表明，横向各向同性的传统大变形表示会给出错误的结果。讨论了可能的替代方法。
A motion involves large distortion if the ratios of principal stretches differ significantly from unity. A motion involves large deformation if the deformation gradient tensor is significantly different from the identity. Unfortunately, rigid rotation fits the definition of large deformation, and models that claim to be valid for large deformation are often inadequate for large distortion. An exact solution for the stress in an idealized fiber-reinforced composite is used to show that conventional large deformation representations for transverse isotropy give errant results. Possible alternative approaches are discussed.