Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity

DOI10.1007/BF01175798zbMath0664.73007OpenAlexW4246214813MaRDI QIDQ1115667

George D. Manolis, Dimitrios E. Beskos

Publication date: 1989

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01175798

zbMATH Keywords

system of boundary integral equationsLaplace transformed domainBiot's full equations

Mathematics Subject Classification ID

Related Items (22)

Fundamental solutions of Biot's equations of dynamic poroelasticity ⋮ A symmetric Galerkin boundary element method for 3D linear poroelasticity ⋮ The treatment of BEM for porodynamic problems subjected to a force source in time-domain ⋮ Fast multipole method for poroelastodynamics ⋮ Regularized hyper-singular boundary integral equation methods for three-dimensional poroelastic problems ⋮ Variational methods in irreversible thermoelasticity: theoretical developments and minimum principles for the discrete form ⋮ Dynamic response of an axially loaded rigid sphere embedded in a saturated poroelastic medium ⋮ Rapid sliding motion of a rigid frictionless indentor with a flat base over a thermoelastic half-space ⋮ Fundamental solutions in 3D elastodynamics for the BEM: a review ⋮ Dynamic model of open shell structures buried in poroelastic soils ⋮ Comparison of mixed and isoparametric boundary elements in time domain poroelasticity ⋮ Dynamic response of frameworks by numerical Laplace transform ⋮ Dynamic analysis of a poroelastic layered half-space using continued-fraction absorbing boundary conditions ⋮ Numerical implementation of fundamental solution for solving 2D transient poroelastodynamic problems ⋮ A time domain integral formulation of dynamic poroelasticity ⋮ A regularized collocation boundary element method for linear poroelasticity ⋮ A time-domain boundary element formulation for the dynamic analysis of non linear porous media ⋮ Application of 3D time domain boundary element formulation to wave propagation in poroelastic solids ⋮ A frequency domain boundary element formulation for dynamic interaction problems in poroviscoelastic media ⋮ Scattering of plane monochromatic waves from a heterogeneous inclusion of arbitrary shape in a poroelastic medium: an efficient numerical solution ⋮ An Accurate HyperSingular Boundary Integral Equation Method for Dynamic Poroelasticity in Two Dimensions ⋮ Decoupling coefficients of dilatational wave for Biot's dynamic equation and its Green's functions in frequency domain

Cites Work

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• Development of boundary element method to dynamic problems for porous media
• A direct formulation and numerical solution of the general transient elastodynamic problem I
• Boundary integral equation method for linear porous-elasticity with applications to soil consolidation
• Inertial Effects in Poroelasticity
• Thermoelasticity and Irreversible Thermodynamics
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• Response of poroelastic halfspace to steady-state harmonic surface tractions
• Numerical operational methods for time-dependent linear problems
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method

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