含分数维的裂纹准静态扩展模型
A model for the quasistatic growth of cracks with fractional dimension
摘要:
研究了脆性材料中分数维裂纹准静态扩展的变分模型。我们给出了一个最小的一组属性的集合允许裂纹,确保存在的准静态演化。无论是antiplane和平面的情况下进行处理。
英文摘要:
We study a variational model for the quasistatic growth of cracks with fractional di- mension in brittle materials. We give a minimal set of properties of the collection of admissible cracks which ensure the existence of a quasistatic evolution. Both the an- tiplane and the planar cases are treated.
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