Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics

Calculus of Variations and Partial Differential Equations

Volumn 31, Issue 2, 2008, Pages 137-145

  Dal Maso, Gianni ^a   Garroni, Adriana ^b  

^a SISSA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35548986223     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-006-0084-3     Document Type: Article

References (7)

1. Ambrosio L., Fusco N. and Pallara D. (2000). Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York
2. Bouchitté G., Braides A. and Buttazzo G. (1995). Relaxation results for some free discontinuity problems. J. Reine Angew. Math. 458: 1-18
3. Braides A., Dal Maso G. and Garroni A. (1999). Variational formulation of softening phenomena in fracture mechanics: the one-dimensional case. Arch. Ration. Mech. Anal. 146(1): 23-58
4. Carpinteri A. (1986). Mechanical damage and crack growth in concrete: plastic collapse to brittle fracture. Martinus Nijhoff Publishers, Dordrecht
5. Del Piero G. and Truskinovsky L. (1999). A one-dimensional model for lolcalized and distributed fracture. J. Phys. IV 8: 95-102
6. Del Piero G. and Truskinovsky L. (2001). Macro and micro-cracking in one-dimensional elsticity. Int. J. Solids Struct. 38: 1135-1148
7. Truskinovsky L. (1996). Fracture as a phase transition. In: Batra, R.C. and Beatty, M.F. (eds) Contemporary Research in the Mechanics and Mathematics of Materials, pp 322-332. CIMNE, Barcelona