Effect of void locking by inclusions upon the plastic behavior of porous ductile solids - I: Theoretical modeling and numerical study of void growth

International Journal of Plasticity

Volumn 20, Issue 2, 2004, Pages 225-254

  Siruguet, Karine ^a   Leblond, Jean Baptiste ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

A. Ductility; A. Voids and inclusions; B. Metallic material; C. Energy methods; C. Finite elements

Indexed keywords

COMPRESSIVE STRESS; COMPUTER SIMULATION; DUCTILITY; FINITE ELEMENT METHOD; GROWTH (MATERIALS); INCLUSIONS; POROUS MATERIALS;

POROUS DUCTILE METALS;

PLASTICITY;

EID: 0142259422     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(03)00018-4     Document Type: Article

References (18)

1. Brunig M. Numerical analysis and elastic-plastic deformation behavior of anisotropically damaged solids. Int. J. Plasticity. 18:2002;1237-1270.
2. Fleck N.A., Hutchinson J.W., Tvergaard V. Softening by void nucleation and growth in tension and shear. J. Mech. Phys. Solids. 25:1989;1143-1156.
3. Garajeu, M., 1995. Contribution à l'Étude du Comportement non Linéaire de Milieux Poreux avec ou sans Renfort. PhD Thesis, Université de Marseille.
4. Gologanu M., Leblond J.-B., Perrin G., Devaux J. Recent extensions of Gurson's model for porous ductile metals. Suquet P. Continuum Micromechanics. CISM Lectures Series. 1997;61-130 Springer, New York.
5. Gologanu, M., 1997. Etude de Quelques Problèmes de Rupture Ductile des Métaux. PhD Thesis, Université Paris VI.
6. Gurson A. Continuum theory of ductile rupture by void nucleation and growth - part I. yield criteria and flow rules for porous ductile media ASME J. Engng. Mater. Technol. 99:1977;2-15.
7. Hutchinson, J. W., Tvergaard, V., 1987. Effect of particle void interaction on void growth in tension and shear. In: Proc. of the 34th Sagamore Conference, Innovations in Ultrahigh- Strength Steel Technology. pp. 347-355.
8. Kuna M., Sun D.-Z. Analyses of void growth and coalescence in cast iron by cell models. Journal de Physique IV (supplément au Journal de Physique III). 6:1996;113-122.
9. Lee B., Mear M. Axisymmetric deformation of power-law solids containing a dilute concentration of aligned spheroidal voids. J. Mech. Phys. Solids. 40:1992;1805-1836.
10. Li G. Effective constitutive behavior of nonlinear solids containing penny-shaped cracks. Int. J. Plasticity. 10:1996;409-429.
11. Mazataud, P., Schmitt, A., Brethenoux, G., 1995. Validation expérimentale de l'Approche mésoscopique. Communication IRSID.
12. Perrin G., Leblond J.-B. Analytical study of a hollow sphere made of plastic porous material and subjected to hydrostatic tension - application to some problems in ductile fracture of metals. Int. J. Plasticity. 6:1990;677-699.
13. Ponte-Castañeda P., Zaidman M. Constitutive models for porous materials with evolving microstructure. J. Mech. Phys. Solids. 42:1994;1459-1497.
14. Robin L. Fonctions sphériques de Legendre et Fonctions sphéroïdales. 1957;Gauthier-Villars, Paris, France.
15. Rice J., Tracey D. On the ductile enlargement of voids in triaxial stress fields. J. Mech. Phys. Solids. 17:1969;201-217.
16. Staub C., Boyer J.-C. A ductile model for elasto-plastic material. J. Mater. Process. Technol. 77:1998;9-16.
17. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int. J. Fracture. 17:1981;389-407.
18. Tvergaard V. Numerical study of localization in a void sheet. J. Mech. Phys. Solids. 25:1989;1143-1156.