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<p>We consider a dynamic problem describing frictional contact between a thermo-elasto-viscoplastic body and a foundation. The contact is frictional and bilateral with a moving rigid foundation that results in the wear of the contacting surface. The constitutive law includes a temperature effect described by the first-order evolution equation and a damage effect described by the parabolic inclusion with the homogeneous Neumann boundary condition. We present a variational formulation of the problem and establish the existence and uniqueness of the weak solution. The proof is based on parabolic variational inequalities, first order evolutionary variational equations, and fixed point arguments.</p>

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Dynamic contact problem with wear, damage, and thermal effect

  • 期刊论文

  • 发表日期：

    2026年3月27日

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  • Mohamed Selmani

摘要

We consider a dynamic problem describing frictional contact between a thermo-elasto-viscoplastic body and a foundation. The contact is frictional and bilateral with a moving rigid foundation that results in the wear of the contacting surface. The constitutive law includes a temperature effect described by the first-order evolution equation and a damage effect described by the parabolic inclusion with the homogeneous Neumann boundary condition. We present a variational formulation of the problem and establish the existence and uniqueness of the weak solution. The proof is based on parabolic variational inequalities, first order evolutionary variational equations, and fixed point arguments.