Application of the boundary element method for axisymmetric Biot's consolidation

Aramaki, Gunji; Yasuhara, Kazuya

doi:10.1016/0264-682x(85)90030-9

Cited by 10 publications

(1 citation statement)

References 2 publications

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“…A aplicação do MEC para poroelasticidade iniciaram-se a partir da década de 80, podendo destacar alguns autores como Banerjee e Butterfield (1981), que abordaram a poroelasticidade como um problema quase estático, desacoplado das equações da difusão e da eletrostática, dentro de um intervalo de tempo, com integrais de domínio e solução fundamental dependente do tempo. Uma aplicação semelhante foi apresentada por Aramaki & Yasuhara (1981) onde foi aplicado o MEC para solução de problemas de simetria radial, com a teoria de consolidação linear de Biot (1941) em modelagens, nas condições laboratoriais e por fim comparados numericamente.…”

Section: Teoria Envolvidas Na Poroelasticidadeunclassified

Aplicação do problema inverso para poroelasticidade dinâmica usando método dos elementos de contorno e algoritmo genético

Junior¹,

Costa²

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Section: Teoria Envolvidas Na Poroelasticidadeunclassified

Aplicação do problema inverso para poroelasticidade dinâmica usando método dos elementos de contorno e algoritmo genético

Junior¹,

Costa²

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Boundary element analysis of stresses in an axisymmetric soil mass undergoing consolidation

Chopra

Dargush

1995

Num Anal Meth Geomechanics

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A time domain boundary element method (BEM) for evaluating stresses in an axisymmetric soil mass undergoing consolidation has been developed. Previous BEM work on axisymmetric poroelasticity for boundary displacements and pore pressures is extended to permit the computation of stresses at both boundary and interior points. The stress formulation preserves the surface-only discretization.The boundary displacement integral equation is progressively differentiated to obtain the related stress and strain integral equations. Explicit expressions for the steady-state axisymmetric fundamental solutions are derived in this process. The transient components of the integrands are obtained directly from the transformation of the three-dimensional kernels into a cylindrical system. Numerical implementation of these integral equations is carried out within a general purpose BEM computer code and several illustrative examples are presented to validate the method.

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A time domain boundary element method for poroelasticity

Dargush

Banerjee

1989

Numerical Meth Engineering

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SUMMARYThe development of a general boundary element method (BEM) for two-and three-dimensional quasistatic poroelasticity is discussed in detail. The new formulation, for the complete Biot consolidation theory, operates directly in the time domain and requires only boundary discretization. As a result, the dimensionality of the problem is reduced by one and the method becomes quite attractive for geotechnical analyses, particularly those which involve extensive or infinite domains.The presentation includes the definition of the two key ingredients for the BEM, namely, the fundamental solutions and a reciprocal theorem. Then, once the boundary integral equations are derived, the focus shifts to an ovcrview of the general purpose numerical implementation. This implementation includes higher-order conforming elements, self-adaptive integration and multi-region capability. Finally, several detailed examples are presented to illustrate the accuracy and suitability of this boundary element approach for consolidation analysis.

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Application of the boundary element method for axisymmetric Biot's consolidation

Cited by 10 publications

References 2 publications

Aplicação do problema inverso para poroelasticidade dinâmica usando método dos elementos de contorno e algoritmo genético

Aplicação do problema inverso para poroelasticidade dinâmica usando método dos elementos de contorno e algoritmo genético

Boundary element analysis of stresses in an axisymmetric soil mass undergoing consolidation

A time domain boundary element method for poroelasticity

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