General Solutions of Elastodynamics for 2D Isotropic Porous Media

WANG Yuning; ZHAO Baosheng

doi:10.21656/1000-0887.390235

Volume 40 Issue 9

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WANG Yuning, ZHAO Baosheng. General Solutions of Elastodynamics for 2D Isotropic Porous Media[J]. Applied Mathematics and Mechanics, 2019, 40(9): 1025-1034. doi: 10.21656/1000-0887.390235

Citation:

WANG Yuning, ZHAO Baosheng. General Solutions of Elastodynamics for 2D Isotropic Porous Media[J]. Applied Mathematics and Mechanics, 2019, 40(9): 1025-1034. doi: 10.21656/1000-0887.390235

Citation:

WANG Yuning, ZHAO Baosheng. General Solutions of Elastodynamics for 2D Isotropic Porous Media[J]. Applied Mathematics and Mechanics, 2019, 40(9): 1025-1034. doi: 10.21656/1000-0887.390235

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General Solutions of Elastodynamics for 2D Isotropic Porous Media

doi: 10.21656/1000-0887.390235

School of Mechanical Engineering and Automation, University of Science and Technology Liaoning, Anshan, Liaoning 114051, P.R.China

Funds: The National Natural Science Foundation of China(11472299)

Received Date: 2018-09-06
Rev Recd Date: 2019-01-17
Publish Date: 2019-09-01

Abstract

Abstract

With the general equations of solid displacement and fluid velocity, the general solution of elastodynamics for 2D isotropic porous media were studied. Through introduction of 4 undetermined functions, the equations of motion, fluid velocity and continuity were formulated and divided into 2 parts of expansion wave and torsion wave. Thus, the general solutions expressed with 3 quasi harmonic functions were obtained under the Lur’e operator theory. With the solid displacement and fluid velocity independent of the time, the general steadystate solutions for 2D isotropic porous media were given, and their completeness was proved.
- porous medium,
- general solution,
- Lur’e operator matrix,
- completeness,
- quasi harmonic function

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References(15)

References

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