An analysis of strong discontinuities in a saturated poro-plastic solid

International Journal for Numerical Methods in Engineering

Volumn 46, Issue 10, 1999, Pages 1673-1698

  Armero, F ^a   Callari, C ^a,b  

^a Berkeley   (United States)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Coupled problems; Elastoplasticity; Enhanced finite element methods; Porous media; Strain localization; Strong discontinuity

Indexed keywords

COMPUTER SIMULATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; POROUS MATERIALS; SATURATION (MATERIALS COMPOSITION); SEEPAGE; STRAIN;

PORO-PLASTIC SOLIDS;

PLASTICS;

DISCONTINUITY; ELASTOPLASTICITY; FAILURE ANALYSIS; POROUS MEDIUM; SHEAR BAND;

EID: 0033544679     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19991210)46:10<1673::AID-NME719>3.0.CO;2-S     Document Type: Article

References (22)

1. Rudnicki K, Rice JR. Conditions for the localization of deformation in pressure-sensitive dilatant materials. Journal of the Mechanics and Physics of Solids 1995; 23:371-394.
2. Rice JR. On the stability of dilatant hardening for saturated rock masses. Journal of Geophysical Research 1995; 80:1536-1531.
3. Loret B, Prevost JH. Dynamic strain localization in fluid-saturated porous media. Journal of Engineering Mechanics 1993; 117:907-922.
4. Pietruszczak S. Undrained response of granular soil involving localized deformation. Journal of Engineering Mechanics 1995; 121:1292-1297.
5. Schrefler BA, Majorana CE, Sanavia L. Shear band localization in saturated porous media. Archives of Mechanics 1995; 47:577-599.
6. Vardoulakis I. Deformation of water-saturated sand: I. Uniform undrained deformation and shear banding; II. Effect of pore water flow and shear banding. Géotechnique 1996; 46:441-472.
7. Runesson K, Peric D, Sture S. Effect of pore fluid compressibility on localization in elastic-plastic porous solids under undrained conditions. International Journal of Solids and Structures 1996; 33:1501-1518.
8. Simo JC, Oliver J, Armero F. An analysis of strong discontinuities induced by softening solutions in rate independent solids. Journal of Computational Mechanics 1993; 12:277-296.
9. Armero F, Garikipati K. An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. International Journal of Solids and Structures 1996; 33:2863-2885.
10. Oliver J. Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: fundamentals. Part 2: numerical simulation. International Journal for Numerical Methods in Engineering 1996; 39:3575-3623.
11. Larsson R, Runesson K. Element embedded localization band based on regularized displacement discontinuity. Journal of Engineering Mechanics 1996; 122:402-411.
12. Steinmann P, Larsson R, Runesson K. On the localization properties of multiplicative hyperelasto-plastic continua with strong discontinuities. International Journal of Solids and Structures 1997; 34:969-990.
13. Armero F. On the characterization of localized solutions in inelastic solids: an analysis of wave propagation in a softening bar. SEMM/UCB Report no. 97/18, 1997, Computer Methods in Applied Mechanics and Engineering, to appear.
14. Armero F. Large-scale modeling of localized dissipative mechanisms in a local continuum: applications to the numerical simulation of strain localization in rate-dependent inelastic solids. Mechanics of Cohesive-Fractional Materials 1999; 4:101-131.
15. Biot MA. General theory of three-dimensional consolidation. Journal of Applied Physics 1941; 12:155-164.
16. Coussy O. Mechanics of Porous Continua. Wiley: Chichester, 1995.
17. Larsson R, Runesson K, Sture S. Embedded localization band in undrained soil based on regularized strong discontinuity: theory and FE analysis. International Journal of Solids and Structures 1996; 33:3081-3101.
18. Zhang HW, Sanavia L, Schrefler BA. An internal length scale in dynamic strain localization of multiphase porous media. Mechanics of Cohesive-Frictional Materials, preprint submitted, 1999.
19. Armero F, Garikipati K, Recent advances in the analysis and numerical simulation of strain localization in inelastic solids. In Proceedings of COMPLAS IV, Owen DRJ, Onate E, Hinton E (eds). CIMNE: Barcelona, 1995.
20. Stakgold I. Green's Functions and Boundary Value Problems. Wiley: New York, 1979.
21. Armero F. Formulation and finite element implementation of a multiplicative model of poro-plasticity at finite strains under fully saturated conditions. Computer Methods in Applied Mechanics and Engineering 1999; 171:205-241.
22. Truesdell, Noll. The nonlinear field theories of mechanics. In Handbuch der Physik Bd. III/3, Fluegge S (ed.). Springer: Berlin, 1965.