Continuum Model of the Layered Medium with Slippage and Nonlinear Conditions at the Interlayer Boundaries

Ilya S. Nikitin; Nikolay G. Burago; Alexander D. Nikitin

doi:10.4028/www.scientific.net/SSP.258.137

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HomeSolid State PhenomenaSolid State Phenomena Vol. 258Continuum Model of the Layered Medium with...

Continuum Model of the Layered Medium with Slippage and Nonlinear Conditions at the Interlayer Boundaries

Abstract:

The equations for layered medium with slippage are obtained using the asymptotic method of homogenization. The terms of second order respectively the small parameter of layer thickness are taken into account. The linear slip condition defines the dependence between the tangential jumps of displacements at the contact boundary and the shear stresses. Such generalized models are needed in the study of static and dynamic deformations of layered rock media. Also these models may be useful for description of composite materials with additional soft sublayers between more rigid layers.

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Periodical:

Solid State Phenomena (Volume 258)

Pages:

137-140

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.258.137

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Online since:

December 2016

Authors:

Ilya S. Nikitin*, Nikolay G. Burago, Alexander D. Nikitin

Keywords:

Homogenization Method, Layered Medium, Linear Viscous Interlayer Condition, Nonlinear Visco-Plastic Condition, Slip Condition

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References

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DOI: 10.1007/978-3-319-28241-1_6

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