Surface Viscoelasticity and Effective Properties of Materials and Structures

  • Holm AltenbachEmail author
  • Victor A. Eremeyev
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 19)


In this paper we discuss the influence of surface viscoelasticity on the effective properties of materials such as effective bending stiffness of plates or shells. Viscoelasticity in the vicinity of the surface can differ from the properties of the bulk material, in general. This difference influences the behavior of nanosized thin elements. In particular, the surface viscoelastic stresses are responsible for the size-depended dissipation of nanosized structures. Extending of the Gurtin-Murdoch model and using the correspondence principle of the linear viscoelasticity we derive the expressions of the stress resultant tensors for shear deformable plates and shells.


Surface stresses Surface viscoelasticity Shell Plate Constitutive equations Effective properties 



The second author was supported by the DFG with the grant No. AL 341/33-1 and by the RFBR with the grant No. 12-01-00038.


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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringOtto-von-Guericke-UniversityMagdeburgGermany
  2. 2.South Scientific Center of RASci & South Federal UniversityRostov on DonRussia

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