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<p>This paper investigates a contact and friction problem involving two electro-elastic bodies that interact with an electrically conductive foundation. The proposed model incorporates Signorini contact conditions with friction, non-homogeneous Neumann boundary conditions for non-contact zones and Robin boundary conditions for mechanical displacement. The resulting weak variational formulation is a system of nonlinear quasi-variational inequality and variational equality. The existence of solutions is established using fixed-point theory, and uniqueness is guaranteed under a smallness condition that relates the mechanical and electrical properties.</p>

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A Mathematical Model for Energy Harvesting: Two Piezoelectric Bodies in Mutual Contact with Friction

  • 期刊论文

  • 发表日期：

    2025年11月24日

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  • Abderrahim Zafrar,
  • Omar Elamraoui,
  • El Hassan Essoufi

摘要

This paper investigates a contact and friction problem involving two electro-elastic bodies that interact with an electrically conductive foundation. The proposed model incorporates Signorini contact conditions with friction, non-homogeneous Neumann boundary conditions for non-contact zones and Robin boundary conditions for mechanical displacement. The resulting weak variational formulation is a system of nonlinear quasi-variational inequality and variational equality. The existence of solutions is established using fixed-point theory, and uniqueness is guaranteed under a smallness condition that relates the mechanical and electrical properties.