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arXiv 1111.1192math.APmath.FA
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线性化塑性是有限塑性的演化Γ-极限

Linearized plasticity is the evolutionary Γ-limit of finite plasticity

Alexander Mielke, Ulisse Stefanelli

摘要:

我们提供了一个严格的理由,经典的线性化方法在塑性。在小变形极限下,利用率无关过程的Γ-收敛性,证明了准静态有限应变弹塑性系统的能量解收敛于线性化弹塑性系统的唯一强解.

英文摘要:

We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via Γ-convergence for rate-independent processes that energetic solutions of the quasi-static finite-strain elastoplasticity system converge to the unique strong solution of linearized elastoplasticity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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