A mixed variational formulation of a contact problem with adhesion

被引：2

作者：

Patrulescu, Flavius ^{[1
]}

机构：

[1] Romanian Acad, Tiberiu Popoviciu Inst Numer Anal, Cluj Napoca, Romania

来源：

APPLICABLE ANALYSIS | 2018年 / 97卷 / 08期

关键词：

Variational formulation; frictional contact; normal compliance; unilateral constraint; adhesion; UNILATERAL CONTACT; FRICTION; MODELS; MEMORY;

D O I：

10.1080/00036811.2016.1166213

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mathematical model describing the contact between a viscoplastic body and a deformable foundation is analyzed under small deformation hypotheses. The process is quasistatic and in normal direction the contact is with adhesion, normal compliance, memory effects and unilateral constraint. We derive a mixed-variational formulation of the problem using Lagrange multipliers. Finally, we prove the unique weak solvability of the contact problem.

引用

页码：1246 / 1260

页数：15

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