小应变不相容弹性的二阶模型

IF 1.7 4区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mathematics and Mechanics of Solids Pub Date : 2023-10-16 DOI:10.1177/10812865231193427

Samuel Amstutz, Nicolas van Goethem

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引用次数: 0

摘要

这项工作涉及由于位错等微观缺陷的存在而发生不相容变形的固体连续体的建模。我们的方法依赖于应变张量对介质的几何描述，以及在无穷小框架中使用零阶和二阶应变梯度表示内部努力。同时，能量参数允许监视相应的模量。我们在各向同性本构律的框架内提供数学和数值结果来支持这些想法。

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A second-order model of small-strain incompatible elasticity

This work deals with the modeling of solid continua undergoing incompatible deformations due to the presence of microscopic defects like dislocations. Our approach relies on a geometrical description of the medium by the strain tensor and the representation of internal efforts using zeroth- and second-order strain gradients in an infinitesimal framework. At the same time, energetic arguments allow to monitor the corresponding moduli. We provide mathematical and numerical results to support these ideas in the framework of isotropic constitutive laws.

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来源期刊

Mathematics and Mechanics of Solids 工程技术-材料科学：综合

CiteScore

4.80

自引率

19.20%

发文量

159

审稿时长

1 months

期刊介绍： Mathematics and Mechanics of Solids is an international peer-reviewed journal that publishes the highest quality original innovative research in solid mechanics and materials science. The central aim of MMS is to publish original, well-written and self-contained research that elucidates the mechanical behaviour of solids with particular emphasis on mathematical principles. This journal is a member of the Committee on Publication Ethics (COPE).