BEM modeling of saturated porous media susceptible to damage
Autor: | E. T. Lima Junior, Ahmed Benallal, Wilson Sergio Venturini |
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Přispěvatelé: | Laboratoire de Mécanique et Technologie (LMT), École normale supérieure - Cachan (ENS Cachan)-Centre National de la Recherche Scientifique (CNRS), Department of Structural Engineering, São Carlos School of Engineering (DEPARTMENT OF STRUCTURAL ENGINEERING), University of São Paulo (USP) |
Rok vydání: | 2012 |
Předmět: |
Geometry
02 engineering and technology 01 natural sciences Saturated porous medium [SPI]Engineering Sciences [physics] 0203 mechanical engineering [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph] Fluid dynamics Applied mathematics 0101 mathematics Boundary element method ComputingMilieux_MISCELLANEOUS Mathematics Biot number Consolidation (soil) Applied Mathematics Numerical analysis Gauss General Engineering [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] 010101 applied mathematics Computational Mathematics 020303 mechanical engineering & transports MECÂNICA DO DANO Porous medium Analysis |
Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP Engineering Analysis with Boundary Elements Engineering Analysis with Boundary Elements, Elsevier, 2012, 36 (2), pp.147-153. ⟨10.1016/j.enganabound.2011.07.002⟩ |
ISSN: | 0955-7997 |
Popis: | This paper deals with the numerical analysis of saturated porous media, taking into account the damage phenomena on the solid skeleton. The porous media is taken into poro-elastic framework, in full-saturated condition, based on Biot’s Theory. A scalar damage model is assumed for this analysis. 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 elastostatic problems. The integration over boundary elements is evaluated 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. Numerical examples are presented, in order to validate the implemented formulation and to illustrate its efficacy. |
Databáze: | OpenAIRE |
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