Hybrid-Trefftz displacement element for poroelastic media

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The elastodynamic response of saturated poroelasticmedia is modelled approximating independently thesolid and seepage displacements in the domain and the forceand pressure components on the boundary of the element.The domain and boundary approximation bases are used toenforce on average the dynamic equilibrium and the displacementcontinuity conditions, respectively. The resultingsolving system is Hermitian, except for the dampingterm, and its coefficients are defined by boundary integralexpressions as a Trefftz basis is used to set up the domainapproximation. This basis is taken from the solution set ofthe governing differential equation and models the free-fieldelastodynamic response of the medium. This option justifiesthe relatively high levels of performance that are illustratedwith the time domain analysis of unbounded domains.
Original languageUnknown
Pages (from-to)659-673
JournalComputational Mechanics
Issue number6
Publication statusPublished - 1 Jan 2011

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