On the non-conservativeness of a class of anisotropic damage models with unilateral effects

Comptes Rendus - Mecanique

Volumn 334, Issue 7, 2006, Pages 414-418

  Challamel, Noël ^a   Halm, Damien ^b   Dragon, André ^b  

^a LGCGM   (France)

^b CNRS   (France)

Author keywords

Damage; Hessian; Non conservative system; Non linear elasticity; Tensorial damage; Unilateral effect

Indexed keywords

ANISOTROPY; ELASTICITY; FAILURE ANALYSIS; MATHEMATICAL MODELS; POTENTIAL ENERGY; STRAIN; TENSORS;

ANISOTROPY; DAMAGE; ELASTICITY; MODEL; STRAIN;

EID: 33746366791     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2006.05.006     Document Type: Article

References (17)

1. Ladevèze P. On an anisotropic damage theory. In: Boehler J.P. (Ed). Failure Criteria for Structural Media (1993), Balkema, Rotterdam 355-363
2. Chaboche J.L. Development of Continuum Damage Mechanics for elastic solids sustaining anisotropic and unilateral damage. Int. J. Damage Mech. 2 (1993) 311-329
3. Halm D., and Dragon A. A model of anisotropic damage by mesocrack growth: unilateral effect. Int. J. Damage Mech. 5 (1996) 384-402
4. Cormery F., and Welemane H. A critical review of some damage models with unilateral effect. Mech. Res. Comm. 29 (2002) 391-395
5. Bolotin V.V. Nonconservative Problems of the Theory of Elastic Stability (1963), Pergamon Press, New York
6. Green A.E., and Naghdi P.M. On thermodynamics, rate of work and energy. Arch. Rat. Mech. Anal. 40 (1971) 37-49
7. Ju J.W. On energy-based coupled elastoplastic damage theories. Int. J. Solids Structures 25 (1989) 803-833
8. Ortiz M. A constitutive theory for the inelastic behavior of concrete. Mech. Mater. 4 (1985) 67-93
9. Ekh M., Menzel A., Runesson K., and Steinmann P. Anisotropic damage with MCR effect coupled to plasticity. Int. J. Eng. Sci. 41 (2003) 1535-1551
10. Clarke F.H. Optimization and Nonsmooth Analysis (1983), Wiley, New York
11. Miehe C. Computation of isotropic tensor functions. Comm. Num. Meth. Engrg. 9 (1993) 889-896
12. Mehrabadi M.M., and Cowin S.C. Eigentensors of linear anisotropic elastic materials. Quart. J. Mech. Appl. Math. 43 (1990) 15-41
13. Challamel N., Lanos C., and Casandjian C. Strain-based anisotropic damage modelling and unilateral effects. Int. J. Mech. Sci. 47 (2005) 459-473
14. Murakami S., and Kamiya K. Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics. Int. J. Mech. Sci. 39 (1997) 473-486
15. Lemaitre J., Desmorat R., and Sauzay M. Anisotropic damage law of evolution. Eur. J. Mech. A/Solids 19 (2000) 187-208
16. Knops R.J. Instability and the ill-posed Cauchy problem in elasticity. In: Hopkins H.G., and Sewell M.J. (Eds). Mechanics of Solids, The Rodney Hill 60th Anniversary Volume (1982), Pergamon Press, New York 357-382
17. Carol I., and Willam K. Spurious energy dissipation/generation in stiffness recovery models for elastic degradation and damage. Int. J. Solids Structures 33 (1996) 2939-2957