Elastoplastic consolidation at finite strain. Part 2: finite element implementation and numerical examples

Borja, Ronaldo I. and Tamagnini, Claudio and Alarcón Álvarez, Enrique (1998). Elastoplastic consolidation at finite strain. Part 2: finite element implementation and numerical examples. "Computer Methods in Applied Mechanics and Engineering", v. 159 (n. 1-2); pp. 103-122. ISSN 0045-7825. https://doi.org/10.1016/S0045-7825(98)80105-9.

Description

Title: Elastoplastic consolidation at finite strain. Part 2: finite element implementation and numerical examples
Author/s:
  • Borja, Ronaldo I.
  • Tamagnini, Claudio
  • Alarcón Álvarez, Enrique
Item Type: Article
Título de Revista/Publicación: Computer Methods in Applied Mechanics and Engineering
Date: 1 July 1998
Volume: 159
Subjects:
Faculty: E.T.S.I. Industriales (UPM)
Department: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A mathematical model for finite strain elastoplastic consolidation of fully saturated soil media is implemented into a finite element program. The algorithmic treatment of finite strain elastoplasticity for the solid phase is based on multiplicative decomposition and is coupled with the algorithm for fluid flow via the Kirchhoff pore water pressure. A two-field mixed finite element formulation is employed in which the nodal solid displacements and the nodal pore water pressures are coupled via the linear momentum and mass balance equations. The constitutive model for the solid phase is represented by modified Cam—Clay theory formulated in the Kirchhoff principal stress space, and return mapping is carried out in the strain space defined by the invariants of the elastic logarithmic principal stretches. The constitutive model for fluid flow is represented by a generalized Darcy's law formulated with respect to the current configuration. The finite element model is fully amenable to exact linearization. Numerical examples with and without finite deformation effects are presented to demonstrate the impact of geometric nonlinearity on the predicted responses. The paper concludes with an assessment of the performance of the finite element consolidation model with respect to accuracy and numerical stability.

More information

Item ID: 15244
DC Identifier: http://oa.upm.es/15244/
OAI Identifier: oai:oa.upm.es:15244
DOI: 10.1016/S0045-7825(98)80105-9
Official URL: http://www.sciencedirect.com/science/article/pii/S0045782598801059
Deposited by: Biblioteca ETSI Industriales
Deposited on: 10 May 2013 11:09
Last Modified: 21 Apr 2016 15:17
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