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

General Solutions of Elastodynamics for 2D Isotropic Porous Media

doi: 10.21656/1000-0887.390235
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
  • 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.
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