Damage of nonlinearly elastic materials at small strain – Existence and regularity results –
Damage of nonlinearly elastic materials at small strain – Existence and regularity results –
复制标题
小应变下非线性弹性材料的损伤 – 存在性和规律性结果 –
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
A. Mielke
中科院分区：
文献类型：
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作者：
Marita Thomas;A. Mielke
本文讨论了率无关损伤过程能量解的存在性结果及其时间正则性。我们考虑一个由物理非线性弹性材料组成的物体，它经历小的变形和部分损伤。本文的工作是[16]的推广，涉及到存储的弹性能量密度的性质以及损伤变量的合适的Sobolev空间：虽然以前的工作假设损伤变量z满足W1，r（Ω）中的z，其中r > d对于Ω d，我们可以通过一种新的构造联合恢复序列的技术来处理r > 1的情况。此外，这项工作推广的时间规律性的结果，物理非线性弹性材料通过分析Lipschitz-和Hölder-连续性的解决方案关于时间。
This paper discusses an existence result for energetic solutions of rate‐independent damage processes and the temporal regularity of the solution. We consider a body consisting of a physically nonlinearly elastic material undergoing small deformations and partial damage. The present work is a generalization of [16] concerning the properties of the stored elastic energy density as well as the suitable Sobolev space for the damage variable: While previous work assumes that the damage variable z satisfies z in W1, r(Ω) with r > d for Ω ⊂ ℝd, we can handle the case r > 1 by a new technique for the construction of joint recovery sequences. Moreover, this work generalizes the temporal regularity results to physically nonlinearly elastic materials by analyzing Lipschitz‐ and Hölder‐continuity of solutions with respect to time.
DOI：
10.1007/s00526-007-0119-4
发表时间：
2008-03
影响因子：
2.1
作者：
A. Mielke;T. Roubíček;U. Stefanelli
通讯作者：
A. Mielke;T. Roubíček;U. Stefanelli