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Invariance Under Superposed Rigid Body Motions with Constraints
Journal of Elasticity ( IF 1.8 ) Pub Date : 2020-08-24 , DOI: 10.1007/s10659-020-09790-9
M. B. Rubin

The notion of invariance under Superposed Rigid Body Motions $(\mathit{SRBM})$ is enhanced by a restriction that explicitly states in what sense the responses of a material under $\mathit{SRBM}$ are equivalent. This new restriction is used to develop expressions for the superposed values of the strain energy and the Cauchy stress, instead of assuming their forms. Moreover, it clarifies invariance of the constraint response for kinematic constraints.

中文翻译:

具有约束的叠加刚体运动下的不变性

叠加刚体运动 $(\mathit{SRBM})$ 下的不变性概念通过限制得到增强,该限制明确说明 $\mathit{SRBM}$ 下材料的响应在何种意义上是等效的。这个新限制用于开发应变能和柯西应力的叠加值的表达式,而不是假设它们的形式。此外,它阐明了运动学约束的约束响应的不变性。
更新日期:2020-08-24
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