The variational approach to damage: I. The foundations;Approche variationnelle de l'endommagement: I. Les concepts fondamentaux

Comptes Rendus - Mecanique

Volumn 338, Issue 4, 2010, Pages 191-198

  Pham, Kim ^a   Marigo, Jean Jacques ^b  

^a INSTITUT JEAN LE ROND D ALEMBERT   (France)

^b LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

Damage; Stability; Variational methods

Indexed keywords

BRITTLE DEFORMATION; ENERGY CONSERVATION; FOUNDATION; HARDENING; REINFORCED CONCRETE; SOFTENING; STABILITY ANALYSIS;

EID: 77955050544     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2010.03.009     Document Type: Article

References (8)

1. Marigo J.-J. Constitutive relations in plasticity, damage and fracture mechanics based on a work property. Nuclear Engineering and Design 1989, 114:249-272.
2. Benallal A., Marigo J.-J. Bifurcation and stability issues in gradient theories with softening. Modelling Simul. Mater. Sci. Eng. 2007, 15:283-295.
3. Bourdin B., Francfort G., Marigo J.-J. The variational approach to fracture. J. Elasticity 2008, 91:5-148.
4. Mielke A. Evolution of rate-independent systems. Handb. Differ. Equ. 2005, vol. II:461-559. Elsevier/North-Holland, Amsterdam.
5. Lorentz E., Andrieux S. Analysis of non-local models through energetic formulations. Int. J. Solids Struct. 2003, 40:2905-2936.
6. Nguyen Q.S. Stability and Nonlinear Solid Mechanics 2000, Wiley & Son, London.
7. Marigo J.-J. Formulation de l'endommagement d'un matériau élastique. C. R. Acad. Sci. Paris Sér. II 1981, 292(19):1309-1312.
8. Amor H., Marigo J.-J., Maurini C. Variational approach to brittle fracture with unilateral contact: numerical experiments. J. Mech. Phys. Solids 2009, 57:1209-1229.