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Mechanical impedance of a thin layer in asymmetric elasticity

Author

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  • Abdallaoui, Athmane
  • Lemrabet, Keddour

Abstract

In this paper, we consider a two-dimensional transmission problem of linear asymmetric elasticity in a fixed domain Ω− with a thin layer Ω+δ. Our aim is to model the effect of the thin layer Ω+δ on the fixed domain Ω− by an impedance boundary condition using the techniques of asymptotic expansion. The transmission problem is then approached by an approximate impedance problem posed in the fixed domain Ω−, and we prove an error estimate.

Suggested Citation

  • Abdallaoui, Athmane & Lemrabet, Keddour, 2018. "Mechanical impedance of a thin layer in asymmetric elasticity," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 467-479.
    • Handle: RePEc:eee:apmaco:v:316:y:2018:i:c:p:467-479
    DOI: 10.1016/j.amc.2017.08.045
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