Scholarlink

<p>The current work discusses an interesting mathematical framework in contact mechanics that indicates the contact that occurs by friction between an electro-elastic body affected by long memory and wear, and a moving obstacle. Here, the contact phenomenon is represented by a normal compliance condition with a unilateral constraint, where the wear is taken into account. We derive its classical and variational formulations under some suitable hypotheses. Besides, by using a fixed point theorem and an abstract history-dependent variational inequality, the solution’s existence and uniqueness are confirmed. Additionally, due to the fully discrete approximation method, we derive error estimates and convergence results.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Analysis of a long-memory dependent piezoelectric unilateral contact problem with sliding Coulomb’s friction and wear effects

  • 期刊论文

  • 发表日期：

    2026年2月23日

查看全文
  • Abderrahmane Oultou,
  • Hicham Benaissa

摘要

The current work discusses an interesting mathematical framework in contact mechanics that indicates the contact that occurs by friction between an electro-elastic body affected by long memory and wear, and a moving obstacle. Here, the contact phenomenon is represented by a normal compliance condition with a unilateral constraint, where the wear is taken into account. We derive its classical and variational formulations under some suitable hypotheses. Besides, by using a fixed point theorem and an abstract history-dependent variational inequality, the solution’s existence and uniqueness are confirmed. Additionally, due to the fully discrete approximation method, we derive error estimates and convergence results.