DING Bo-yang, JIANG Jia-qi. Time-Domain BEM Calculation for Porodynamics[J]. Applied Mathematics and Mechanics, 2015, 36(1): 31-47. doi: 10.3879/j.issn.1000-0887.2015.01.003
Citation: DING Bo-yang, JIANG Jia-qi. Time-Domain BEM Calculation for Porodynamics[J]. Applied Mathematics and Mechanics, 2015, 36(1): 31-47. doi: 10.3879/j.issn.1000-0887.2015.01.003

Time-Domain BEM Calculation for Porodynamics

doi: 10.3879/j.issn.1000-0887.2015.01.003
Funds:  The National Natural Science Foundation of China(11172268;51478435)
  • Received Date: 2014-04-03
  • Rev Recd Date: 2014-12-01
  • Publish Date: 2015-01-15
  • The boundary element method (BEM) in time domain was employed for the dynamic analysis of saturated porous media subjected to external forces. Based on Biot’s porodynamic equations, the U-P formulation of Green’s function obtained through decoupling of the fast and slow dilational waves, the transformation of Stokes’state as well as Somigliana’s representation, the discretization forms of the boundary integration equations in time domain were discussed in detail. Specially, with the aid of achievement for a single-phase medium, the singularity in the integration of the BEM for a porous medium was successfully treated in numerical implementation. Finally, in several examples, the response results of the displacements and pore pressures from numerical calculation with dimensionless material parameters were presented. Since the time-domain BEM calculation is hardly found in porodynamics as yet, the proposed method makes a new way for the research of dynamic response of 2phase saturated porous media.
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