Approximation and characterization of quasi-static $H^1$-evolutions for a cohesive interface with different loading-unloading regimes

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2018-05-03 DOI:10.4171/IFB/396

M. Negri, E. Vitali

引用次数: 10

Abstract

Abstract. We consider the quasi-static evolution of a prescribed cohesive interface: dissipative under loading and elastic under unloading. We provide existence in terms of parametrized BV evolutions, employing a discrete scheme based on local minimization, with respect to the Hnorm, of a regularized energy. Technically, the evolution is fully characterized by: equilibrium, energy balance and Karush-Kuhn-Tucker conditions for the internal variable. Catastrophic regimes (discontinuities in time) are described by gradient flows of visco-elastic type.

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具有不同加载-卸载机制的内聚界面准静态H^1演化的逼近与表征

摘要我们考虑了一个规定的内聚界面的准静态演化:加载时耗散，卸载时弹性。我们提供了参数化BV演化的存在性，采用了一种基于局部最小化的离散格式，相对于正则化能量的norm。从技术上讲，演化完全具有:平衡、能量平衡和内部变量的Karush-Kuhn-Tucker条件。灾变状态(时间上的不连续)用粘弹性型梯度流来描述。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.