What question did this study set out to answer?

To formulate a nonlinear and semilinear continuum mechanics framework for porous solids using Cartesian finite strain, local rotation fields, and irreversible thermodynamics.

August 10, 1973Journal of Geophysical Research Atmospheres

Nonlinear and semilinear rheology of porous solids

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To formulate a nonlinear and semilinear continuum mechanics framework for porous solids using Cartesian finite strain, local rotation fields, and irreversible thermodynamics.
Modeled porous solid mechanics using Cartesian representations of finite strain combined with local rotation fields.
Separated deformation into linear grain volume changes and nonlinear local geometric effects such as crack closure and contact area variation.
Formulated viscoelastic responses and plastic flow conditions using effective stress representations.
Determined that seven physical constants completely characterize the semilinear properties of an isotropic porous solid.
Derived simplified nonlinear displacement field equations directly suited for semilinear material analysis.
Established variational principles and Lagrangian equations that integrate the semilinear mechanics into modern nonlinear irreversible thermodynamics.

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Implication

Theoretical modeling uncovers semilinear rheological behavior in porous solids, demonstrating how geometric changes drive nonlinear responses within irreversible thermodynamics.

Cite This Study

M. A. Biot (1973) studied this question.

synapsesocial.com/papers/6a7379b375bfeae413a729f5 https://doi.org/10.1029/jb078i023p04924

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Implication

Theoretical modeling uncovers semilinear rheological behavior in porous solids, demonstrating how geometric changes drive nonlinear responses within irreversible thermodynamics.

Nonlinear and semilinear rheology of porous solids

Key Points

Discussion

Implication

Cite This Study

Nonlinear and semilinear rheology of porous solids

Key Points

Discussion

Implication

Cite This Study

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