Scholarlink

<p>A model for dynamic frictionless contact between a viscoelastic body and foundation is considered. The viscoelastic constitutive law is assumed to be nonlinear and the contact is modelled with the normal compliance condition. We obtain the well-posedness using nonlinear semigroup theory arguments. Moreover, the exponential stability result of the solution is shown by using the energy method to produce a suitable Lyapunov function.</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

Well-posedness and exponential stability of a dynamic frictionless contact problem with normal compliance and infinite memory

  • 期刊论文

  • 发表日期：

    2026年3月1日

查看全文
  • Imane Ouakil,
  • Benyattou Benabderrahmane,
  • Yamna Boukhatem

摘要

A model for dynamic frictionless contact between a viscoelastic body and foundation is considered. The viscoelastic constitutive law is assumed to be nonlinear and the contact is modelled with the normal compliance condition. We obtain the well-posedness using nonlinear semigroup theory arguments. Moreover, the exponential stability result of the solution is shown by using the energy method to produce a suitable Lyapunov function.