材料演化的特征叶理:从重塑到老化
Characteristic foliations of material evolution: from remodeling to aging
摘要:
对于任何体时流形$\mathbb{R} \times \mathcal{B}$,存在一个广群,称为物质广群,它编码了演化物质的所有物质属性。构造了一个光滑分布--物质分布,以处理物质群胚不是李群胚的情况。这个新工具提供了一个统一的框架来处理一般的非均匀演化材料。
英文摘要:
For any body-time manifold $\mathbb{R} \times \mathcal{B}$ there exists a groupoid, called material groupoid, encoding all the material properties of the evolution material. A smooth distribution, the material distribution, is constructed to deal with the case in which the material groupoid is not a Lie groupoid. This new tool provides a unified framework to deal with general non-uniform evolution materials.
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