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Finite element solutions of nonlinear coupled flow-stress problems based on mixture theory
Equations governing the three-dimensional transient response of fully saturated porous media due to dissipation of pore fluid pressure are derived systematically on the basis of the theory of mixtures. Finite deformations, nonlinear soil skeleton properties and variable permeability have been taken into account. A Lagrangian formulation is used to derive the balance of force equations and a generalized Darcy's flow law. Linearized incremental forms of the equations are developed. Numerical procedures employing the finite element method are developed by using a five point quadrilateral interpolation for displacements with constant shear strain and a four point interpolation for pore fluid pressure. Logarithmic interpolation in time is used. Linear analysis results are compared with some of the existing analytical solutions of Terzaghi's and Biot's theories for the problems of consolidation of a bounded column of clay and a half-space with strip load. The influences of nonlinear soil properties and variable permeability are examined and compared with the linear analysis.
Finite element solutions of nonlinear coupled flow-stress problems based on mixture theory
Equations governing the three-dimensional transient response of fully saturated porous media due to dissipation of pore fluid pressure are derived systematically on the basis of the theory of mixtures. Finite deformations, nonlinear soil skeleton properties and variable permeability have been taken into account. A Lagrangian formulation is used to derive the balance of force equations and a generalized Darcy's flow law. Linearized incremental forms of the equations are developed. Numerical procedures employing the finite element method are developed by using a five point quadrilateral interpolation for displacements with constant shear strain and a four point interpolation for pore fluid pressure. Logarithmic interpolation in time is used. Linear analysis results are compared with some of the existing analytical solutions of Terzaghi's and Biot's theories for the problems of consolidation of a bounded column of clay and a half-space with strip load. The influences of nonlinear soil properties and variable permeability are examined and compared with the linear analysis.
Finite element solutions of nonlinear coupled flow-stress problems based on mixture theory
Finite Elemente Loesung fuer nichtlineare Flussspannungsprobleme basierend auf der Gemischtheorie
Sharabi, M. (Autor:in)
1975
108 Seiten
Hochschulschrift
Englisch
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