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Frictionless Contact of Thin Viscoelastic Layers

  • Ivan ArgatovEmail author
  • Gennady Mishuris
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 50)

Abstract

The chapter begins with an introduction to linear viscoelastic theory, and then proceeds to a generalization of the elastic leading-order asymptotic models for the viscoelastic case, based on the correspondence principle. In Sect. 4.2, we consider the main features of the analytical technique for solving unilateral contact problems for a viscoelastic foundation. The axisymmetric contact problem for a thin bonded incompressible viscoelastic layer is analyzed in Sect. 4.3 and in the refined formulation accounting for tangential displacements in Sect. 4.4. Finally, in Sect. 4.5 we solve the problem of frictionless contact for thin incompressible viscoelastic layers bonded to rigid substrates shaped like elliptic paraboloids.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of MathematicsAberystwyth UniversityAberystwythUK

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