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Coupled Evolution of Damage and Fluid Flow in a Mandel-type Problem

Eduardo T Lima Junior1, Wilson S Venturini2, Ahmed Benallal3

Scientific Computing and Visualization Laboratory, Federal University of Alagoas – Maceio,Brazil. limajunior@lccv.ufal.br
Sao Carlos School of Engineering, University of Sao Paulo – Sao Carlos, Brazil.
Laboratory of Mechanics and Technology, Ecole Normale Supérieure – Cachan, France.

Computer Modeling in Engineering & Sciences 2011, 78(3&4), 169-184. https://doi.org/10.3970/cmes.2011.078.169

Abstract

Some considerations on the numerical analysis of brittle rocks are presented in this paper. The rock is taken as a poro-elastic domain, in full-saturated condition, based on the Biot's Theory. The solid matrix of this porous medium is considered to be susceptible to isotropic damage occurrence. An implicit boundary element method (BEM) formulation, based on time-independent fundamental solutions, is developed and implemented to couple the fluid flow and two-dimensional elastostatics problems. The integration over boundary elements is evaluated by using a numerical Gauss procedure. A semi-analytical scheme for the case of triangular domain cells is followed to carry out the relevant domain integrals. The non-linear problem is solved by a Newton-Raphson procedure. A geomechanical problem is analyzed in order to illustrate the efficiency of the implemented formulation.

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Cite This Article

T, E., Venturini, W. S., Benallal, A. (2011). Coupled Evolution of Damage and Fluid Flow in a Mandel-type Problem. CMES-Computer Modeling in Engineering & Sciences, 78(3&4), 169–184. https://doi.org/10.3970/cmes.2011.078.169



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