Basic topics on damage pseudo-potentials

International Journal of Solids and Structures

Volumn 38, Issue 10-13, 2001, Pages 1963-1974

  Mariano, Paolo Maria ^a   Augusti, Giuliano ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FAILURE ANALYSIS; MATHEMATICAL MODELS;

DAMAGE POTENTIALS;

CONTINUUM MECHANICS;

EID: 0035283867     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(00)00146-3     Document Type: Article

References (22)

1. Augusti, G., Mariano, P.M., 1999. Stochastic evolution of microcracks in continua. Comp. Meth. Appl. Mech. Engng. 168, 155-171.
2. Capriz, G., 1985. Continua with latent microstructure. Arch. Rational Mech. Anal. 90, 43-56.
3. Capriz, G., 1989. Continua with Microstructure. Springer, Berlin.
4. Capriz, G., Giovine, P., 1999. Weakly nonlocal effects in mechanics. Quaderni del Dipartimento di Matematica dell'Università di Pisa, Sezione di Fisica-Matematica, Pisa.
5. Choksi, R., Del Piero, G., Fonseca, I., Owen, D.R., 1998. Structured deformations as energy minimizers in models of fracture and hysteresis. CMU Scientific Reports, 98-NA-002.
6. Coleman, B.D., Gurtin, M.E., 1967. Thermodynamics with internal state variables. J. Chem. Phys. 47, 597-613.
7. Coleman, B.D., Owen, D.R., 1974. A mathematical foundation for thermodynamics. Arch. Rational Mech. Anal. 54, 1-104.
8. Coleman, B.D., Owen, D.R., 1977. On thermodynamics of semi-systems with restrictions on the accessibility of states. Arch. Rational Mech. Anal. 66, 173-181.
9. Herrmann, H.J., Roux, S. (Eds.), 1990. Statistical Models of the Fracture of Disordered Media, North-Holland, Amsterdam.
10. Krajcinovic, D., 1996. Damage Mechanics. North-Holland, Amsterdam.
11. Krajcinovic, D., Mastilovic, S., Vujosevic, M., 1998. Brittle to quasi-brittle transition. Meccanica 33, 363-379.
12. Lemaitre, J., 1992. A Course on Damage Mechanics. Springer, Berlin.
13. Lubarda, V.A., Krajcinovic, D., 1995. Some fundamental issues in rate theory of damage elastoplasticity. Int. J. Plasticity 11, 763-797.
14. Mariano, P.M., 1997. Natural entropies in the state space of damaged bodies. Z. Angew. Math. Phys. ZAMP 48, 1002-1011.
15. Mariano, P.M., 1998. On the axioms of plasticity. Int. J. Solids Struct. 35, 1313-1324.
16. Mariano, P.M., 1999. Some remarks on the variational description of microcracked bodies. Int. J. Non-Linear Mech. 34, 633-642.
17. Mariano, P.M., Augusti, G., 1997. Some axioms and theorems in damage mechanics and fatigue of materials. Int. J. Solids Struct. 34, 3337-3350.
18. Noll, W., 1972. A new mathematical theory of simple materials. Arch. Rational Mech. Anal. 48, 1-50.
19. Owen, D.R., 1984. A frst course in mathematical foundations of thermodynamics. Springer, Berlin.
20. Šilhavý, M., 1989. Mass, internal energy and Cauchy's equations of motion in frame-indifferent thermodynamics. Arch. Rational Mech. Anal. 107, 1-22.
21. Šilhavý, M., 1997. The Mechanics and Thermodynamics of Continuous Bodies. Springer, Berlin.
22. Simo, J.C., Ju, J.W., 1987. Strain and stress-based continuum damage models. I. Formulation. Int. J. Solids Struct. 23, 821-840.