Weakly nonlinear deformation of a thin poroelastic layer with a free surface

O. E. Jensen; M. R. Glucksberg; J. R. Sachs; J. B. Grotberg

doi:10.1115/1.2901526

Weakly nonlinear deformation of a thin poroelastic layer with a free surface

O. E. Jensen^*, M. R. Glucksberg, J. R. Sachs, J. B. Grotberg

^*Corresponding author for this work

Biomedical Engineering

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

Using the biphasic theory of Biot (1941), we examine the evolution of deformations of a poroelastic layer, secured at its base to a rigid plane and having a stress-free, impermeable upper surface. By identifying a limit in which the layer is very thin but the wavelength of disturbances is very long, we show how nonlinear effects due to the finite slope of the free surface cause local elevations of the free surface to decay more slowly than depressions.

Original language	English (US)
Pages (from-to)	729-731
Number of pages	3
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	61
Issue number	3
DOIs	https://doi.org/10.1115/1.2901526
State	Published - Sep 1994

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1115/1.2901526

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abstract = "Using the biphasic theory of Biot (1941), we examine the evolution of deformations of a poroelastic layer, secured at its base to a rigid plane and having a stress-free, impermeable upper surface. By identifying a limit in which the layer is very thin but the wavelength of disturbances is very long, we show how nonlinear effects due to the finite slope of the free surface cause local elevations of the free surface to decay more slowly than depressions.",

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AB - Using the biphasic theory of Biot (1941), we examine the evolution of deformations of a poroelastic layer, secured at its base to a rigid plane and having a stress-free, impermeable upper surface. By identifying a limit in which the layer is very thin but the wavelength of disturbances is very long, we show how nonlinear effects due to the finite slope of the free surface cause local elevations of the free surface to decay more slowly than depressions.

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Weakly nonlinear deformation of a thin poroelastic layer with a free surface

Abstract

ASJC Scopus subject areas

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