二维半离散和离散模型中边缘位错诱发的非线性自能的Γ-收敛分析

IF 1.3 3区 数学 Q1 MATHEMATICS
Roberto Alicandro, Lucia De Luca, Mariapia Palombaro, Marcello Ponsiglione
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引用次数: 0

摘要

我们提出了二维有限边缘位错系统诱导弹性能量的非线性半离散和离散模型。在稀释体系中,我们分析了非线性弹性能量的渐近行为,即核心半径(在半离散模型中)和晶格间距(在纯离散模型中)消失。我们的分析是在Γ收敛的严格框架内通过线性化程序进行的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
We propose nonlinear semi-discrete and discrete models for the elastic energy induced by a finite system of edge dislocations in two dimensions. Within the dilute regime, we analyze the asymptotic behavior of the nonlinear elastic energy, as the core-radius (in the semi-discrete model) and the lattice spacing (in the purely discrete one) vanish. Our analysis passes through a linearization procedure within the rigorous framework of Γ-convergence.
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来源期刊
Advances in Calculus of Variations
Advances in Calculus of Variations MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
3.90
自引率
5.90%
发文量
35
审稿时长
>12 weeks
期刊介绍: Advances in Calculus of Variations publishes high quality original research focusing on that part of calculus of variation and related applications which combines tools and methods from partial differential equations with geometrical techniques.
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