Abstract
A new formulation of a damage law is proposed based on a continuous transition between a sound material and a totally or partially broken material. The evolution of damage is then associated with a moving layer. This point of view permits the description of initiation and propagation of defects in an unified framework. The motion of the thick layer is defined in the frame of the moving surface Γ o separating the sound material and the damaged material. When the damage parameters are continuous functions of the distance to Γ o , they satisfy the conditions of transport. For particular geometries and loadings the evolution of the system is discussed. Comparison with description of damage with discontinuities and sharp interface is also presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bourdin B, Francfort G, Marigo J (2000) Numerical experiments in revisited brittle fracture. J Mech Phys Solids 48(4): 797–826
Karma A, Kessler D, Levine H (2001) Phase field model of mode III dynamic fracture. Phys Rev Lett 87(4): 045501
Miehe C, Welschinger F, Hofhacker (2010) Thermodynamically consistent phase field models of fracture: variational principles and multifields FE implementations. Int J Numer Methods Eng 83(10): 1273–1311
Moës N, Stolz C, Bernard P, Chevaugeon N (2011) A level set based model for damage growth: the thick level set approach. Int J Numer Methods Eng 86(3): 358–380
Peerlings R, de Borst R, Brekelmans W, De Vree J (1996) Gradient enhanced damage for quasi-brittle materials. Int J Numer Methods Eng 39: 3391–3403
Pijaudier Cabot G, Bazant Z (1987) Non local damage theory. J Eng Mech 113: 1512–1533
Pradeilles-Duval RM, Stolz C (1991) On the evolution of solids in the presence of irreversible phase transformation. Comptes Rendus Académie des Sciences de Paris, Série II 313: 297–302
Pradeilles-Duval RM, Stolz C (1995) Mechanical transformation and discontinuities along a moving surface. J Mech Phys Solids 43: 91–121
Son Q, Pradeilles R, Stolz C (1989) On a regularized propagation law in fracture and brittle damage. Comptes Rendus Académie des Sciences de Paris, Série II 309: 1515–1520
Stolz C (2007) Bifurcation of equilibrium solutions and defects nucleation. Int J Frac 147: 103–107
Stolz C (2010) Thermodynamical description of running discontinuities: application to friction and wear. Entropy 12: 1418–1439
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Stolz, C., Moës, N. A new model of damage: a moving thick layer approach. Int J Fract 174, 49–60 (2012). https://doi.org/10.1007/s10704-012-9693-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10704-012-9693-3