连续介质力学中的隐蔽凸性，应用于经典、连续时间、速率（不）相关塑性

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

Mathematics and Mechanics of Solids Pub Date : 2024-07-31 DOI:10.1177/10812865241258154

Amit Acharya

引用次数: 0

摘要

展示了一种为连续介质力学中的一类 PDE（偏微分方程）模型定义变分原理的方法，并探讨了其中的一些特点。该方案被应用于有限变形下与速率无关和与速率有关的单晶塑性的准静态和动态模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity

A methodology for defining variational principles for a class of PDE (partial differential equations) models from continuum mechanics is demonstrated, and some of its features are explored. The scheme is applied to quasi-static and dynamic models of rate-independent and rate-dependent, single-crystal plasticity at finite deformation.

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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).