On "fundamental solutions for a fluid-saturated porous solid" by M. P. Cleary

J. W. Rudnicki

doi:10.1016/0020-7683(81)90100-1

On "fundamental solutions for a fluid-saturated porous solid" by M. P. Cleary

J. W. Rudnicki^*

^*Corresponding author for this work

Civil and Environmental Engineering

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

29 Scopus citations

Abstract

This note corrects expressions given by Cleary [1] for fluid mass source and dipole solutions in linear fluid infiltrated porous elastic solids. The corrected expressions reveal that the stress and displacement fields due to a suddenly applied point force comprise a time independent portion that is the classical elasticity solution based on the undrained (short-time) moduli, and a time dependent portion that is the solution for a continuous fluid mass dipole. As a corollary, the time dependent functions entering the point force solution can be obtained from a single function that enters the solution for displacements due to a fluid mass source.

Original language	English (US)
Pages (from-to)	855-857
Number of pages	3
Journal	International Journal of Solids and Structures
Volume	17
Issue number	9
DOIs	https://doi.org/10.1016/0020-7683(81)90100-1
State	Published - 1981

Funding

Acknowledgement-This work arose in connection with investigations supported by the Earthquake Hazards Reduction Program of the U.S. Geological Survey through Contract No. INT 14-08-0001-19146 to the University of Illinois at Urbana-Champaign.

ASJC Scopus subject areas

Modeling and Simulation
General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(81)90100-1

Cite this

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abstract = "This note corrects expressions given by Cleary [1] for fluid mass source and dipole solutions in linear fluid infiltrated porous elastic solids. The corrected expressions reveal that the stress and displacement fields due to a suddenly applied point force comprise a time independent portion that is the classical elasticity solution based on the undrained (short-time) moduli, and a time dependent portion that is the solution for a continuous fluid mass dipole. As a corollary, the time dependent functions entering the point force solution can be obtained from a single function that enters the solution for displacements due to a fluid mass source.",

author = "Rudnicki, {J. W.}",

note = "Funding Information: Acknowledgement-This work arose in connection with investigations supported by the Earthquake Hazards Reduction Program of the U.S. Geological Survey through Contract No. INT 14-08-0001-19146 to the University of Illinois at Urbana-Champaign.",

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doi = "10.1016/0020-7683(81)90100-1",

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AU - Rudnicki, J. W.

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PY - 1981

Y1 - 1981

N2 - This note corrects expressions given by Cleary [1] for fluid mass source and dipole solutions in linear fluid infiltrated porous elastic solids. The corrected expressions reveal that the stress and displacement fields due to a suddenly applied point force comprise a time independent portion that is the classical elasticity solution based on the undrained (short-time) moduli, and a time dependent portion that is the solution for a continuous fluid mass dipole. As a corollary, the time dependent functions entering the point force solution can be obtained from a single function that enters the solution for displacements due to a fluid mass source.

AB - This note corrects expressions given by Cleary [1] for fluid mass source and dipole solutions in linear fluid infiltrated porous elastic solids. The corrected expressions reveal that the stress and displacement fields due to a suddenly applied point force comprise a time independent portion that is the classical elasticity solution based on the undrained (short-time) moduli, and a time dependent portion that is the solution for a continuous fluid mass dipole. As a corollary, the time dependent functions entering the point force solution can be obtained from a single function that enters the solution for displacements due to a fluid mass source.

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ER -

On "fundamental solutions for a fluid-saturated porous solid" by M. P. Cleary

Abstract

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ASJC Scopus subject areas

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