在JE. Marsden & TJR Hughes的Mathematical foundations of elasticity(1993)中,变形体定义为
A simple body is an open set $B\in R^3$
JT. Oden(Applied Functional Analysis, 1979)的定义为
A continuous body is an open subset of the three-dimensional Euclidean space $R^3$
但这些定义不足于基本的变形计算, 连续体的数学定义似乎定义为带边的微分流形(Manifold with boundary)为好.
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