Fundamental solutions of Biot's equations of dynamic poroelasticity

DOI10.1016/0020-7225(93)90126-FzbMath0773.73006OpenAlexW2094551371MaRDI QIDQ2366911

Prasanta K. Banerjee, Amir M. Kaynia

Publication date: 25 October 1993

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(93)90126-f

zbMATH Keywords

Laplace transformdisplacement fieldfluid-saturated mediatime domain approximations

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Inhomogeneity in solid mechanics (74E05) Flows in porous media; filtration; seepage (76S05)

Related Items (9)

Frequency domain fundamental solutions for a poroelastic half-space ⋮ The treatment of BEM for porodynamic problems subjected to a force source in time-domain ⋮ Dynamic response of an axially loaded rigid sphere embedded in a saturated poroelastic medium ⋮ Fundamental solutions in 3D elastodynamics for the BEM: a review ⋮ Steady vibration problems in the coupled linear theory of porous elastic solids ⋮ Dynamic analysis of a poroelastic layered half-space using continued-fraction absorbing boundary conditions ⋮ Time 2D fundamental solution for saturated porous media with incompressible fluid ⋮ Spherical wave propagation in saturated soils ⋮ Decoupling coefficients of dilatational wave for Biot's dynamic equation and its Green's functions in frequency domain

Cites Work

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• Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity
• Mechanics of continuous porous media
• Dynamic behaviour of a porous medium saturated by a Newtonian fluid
• On Fundamental solutions for a fluid-saturated porous solid by M. P. Cleary
• Compressible porous media models by use of the theory of mixtures
• Fundamental solutions for a fluidsaturated porous solid
• Fluid Dynamics / Strömungsmechanik
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• Radiation from a point source and scattering theory in a fluid-saturated porous solid
• Response of poroelastic halfspace to steady-state harmonic surface tractions
• On Garg's solution of Biot's equations for wave propagation in a one-dimensional fluid-saturated elastic porous solid

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