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

IF 1.2 4区数学 Q1 MATHEMATICS

Interfaces and Free Boundaries Pub Date : 2018-05-03 DOI:10.4171/IFB/396

M. Negri, E. Vitali

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引用次数: 10

摘要

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。

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

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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来源期刊

Interfaces and Free Boundaries 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent. The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet. Submissions should, ideally, emphasize the combination of theory and application.