The finite element procedure, previously developed to solve antiplane problems involving a single ultrathin and relatively stiff coating layer, is extended to study the effects of interaction between two stiff and ultrathin platelets embedded in an isotropic matrix. The platelets are modeled by the Gurtin-Murdoch material surfaces. The goal of numerical analysis is to investigate how the distance between platelets and their material properties affect the stresses in the system. The governing parameters of the problem are identified and numerical results are presented.

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FEM Analysis of Antiplane Problems with Interacting Stiff and Ultrathin Platelets

  • M. A. Herrera-Garrido,
  • S. G. Mogilevskaya,
  • V. Mantič

摘要

The finite element procedure, previously developed to solve antiplane problems involving a single ultrathin and relatively stiff coating layer, is extended to study the effects of interaction between two stiff and ultrathin platelets embedded in an isotropic matrix. The platelets are modeled by the Gurtin-Murdoch material surfaces. The goal of numerical analysis is to investigate how the distance between platelets and their material properties affect the stresses in the system. The governing parameters of the problem are identified and numerical results are presented.