有损伤的膜的准静态粘接接触

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI:10.47743/anstim.2023.00016

Laldja Benziane, Nemira Lebri

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A quasi-static adhesive contact of a membrane with damage

This work presents a quasi-static model for adhesive contact between an elastic membrane with damage and a rigid obstacle that lies beneath it. The model consists of an elliptic variational inequality for the membrane displacements, a nonlinear ordinary differential equation for the evolution of the adhesion field and a parabolic variational inequality for the damage field. By using regularity results from the theory of elliptic variational inequalities and a fixed point argument, the system is shown to have a unique weak solution.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.