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On Lamb's plane problem in micropolar viscoelastic half-space with stretch

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  • Rajneesh Kumar
  • M. L. Gogna
  • Lokenath Debnath

Abstract

A study is made of Lamb's plane problem in micropolar viscoelastic half-space with stretch. The viscoelasticity is characterized by the rate-dependent theories of micro-viscoelasticity generalizing the classical Kelvin-Voigt theory. The displacement components, force stress, couple stress and vector first moment are obtained for a half-space subjected to an arbitrary normal load. Two particular cases of a horizontal force and a torque which are time harmonic have been considered. Several limiting cases are obtained as special cases of the present analysis.

Suggested Citation

  • Rajneesh Kumar & M. L. Gogna & Lokenath Debnath, 1990. "On Lamb's plane problem in micropolar viscoelastic half-space with stretch," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 13, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:360293
    DOI: 10.1155/S0161171290000540
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