000013134 001__ 13134
000013134 005__ 20161114160328.0
000013134 04107 $$aeng
000013134 046__ $$k2009-06-22
000013134 100__ $$aHeider, Y.
000013134 24500 $$aCoupled problems of wave propagation in materially incompressible saturated soil based on the theory of porous media

000013134 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013134 260__ $$bNational Technical University of Athens, 2009
000013134 506__ $$arestricted
000013134 520__ $$2eng$$aSaturated geomaterials like soil basically represent a two-phase material consisting of interacting solid skeleton and pore fluid. This interaction is particularly strong in dynamic problems and leads from a modeling perspective to a strongly coupled system of differentialalgebraic equations (DAE), which requires a special numerical treatment particularly for the case of materially incompressible constituents. Here, the chosen governing balance equations are obtained based on the macroscopic Theory of Porous Media (TPM), where the presentation is restricted to the isothermal and geometrically linear case. The simulation of infinite domains is introduced using mapped infinite elements with a viscous damping boundary at the interface between the finite and the infinite subdomain. The resulting set of DAE, basically the solid and fluid momentum balances and the algebraic mixture volume balance, is solved using two different approaches: (1) a monolithic implicit time integration scheme, where the equations are first discretized in space using the mixed Finite Element Method (FEM) and then in time using a composite TR-BDF2 integration scheme, combining the advantages of the Trapezoidal Rule (TR) and the 2nd-order Backward Difference Formula (BDF2); (2) a splitting time integration strategy based on a semi-explicit-implicit scheme, where the DAE are first discretized in time, splitted using intermediate variables, and then discretized in space using the standard FEM. The time stepping algorithms are implemented into the FE program PANDAS and a Scilab FE routine and compared on numerical wave propagation examples. The advantages and the drawbacks of the different approaches are worked out and presented against the background of multi-phase soil dynamics.

000013134 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013134 653__ $$aTPM; Porous media dynamics; Strong coupling; Wave propagation; TR-BDF2; Semi-explicit-implicit; Infinite elements; Mixed FEM. Abstract. Saturated geomaterials like soil basically represent a two-phase material consisting of interacting solid skeleton and pore fluid. This interaction is particularly strong in dynamic problems and leads from a modeling perspective to a strongly coupled system of differentialalgebraic equations (DAE), which requires a special numerical treatment particularly for the case of materially incompressible constituents. Here, the chosen governing balance equations are obtained based on the macroscopic Theory of Porous Media (TPM), where the presentation is restricted to the isothermal and geometrically linear case. The simulation of infinite domains is introduced using mapped infinite elements with a viscous damping boundary at the interface between the finite and the infinite subdomain. The resulting set of DAE, basically the solid and fluid momentum balances and the algebraic mixture volume balance, is solved using two different approaches: (1) a monolithic implicit time integration scheme, where the equations are first discretized in space using the mixed Finite Element Method (FEM) and then in time using a composite TR-BDF2 integration scheme, combining the advantages of the Trapezoidal Rule (TR) and the 2nd-order Backward Difference Formula (BDF2); (2) a splitting time integration strategy based on a semi-explicit-implicit scheme, where the DAE are first discretized in time, splitted using intermediate variables, and then discretized in space using the standard FEM. The time stepping algorithms are implemented into the FE program PANDAS and a Scilab FE routine and compared on numerical wave propagation examples. The advantages and the drawbacks of the different approaches are worked out and presented against the background of multi-phase soil dynamics.

000013134 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013134 720__ $$aHeider, Y.$$iMarkert, B.$$iEhlers, W.
000013134 8560_ $$ffischerc@itam.cas.cz
000013134 8564_ $$s453591$$uhttps://invenio.itam.cas.cz/record/13134/files/CD182.pdf$$yOriginal version of the author's contribution as presented on CD, section: Modeling and simulations of dynamic soil- structure interaction - ii (MS).
000013134 962__ $$r13074
000013134 980__ $$aPAPER