Abstract
We propose to examine analytical solutions of propagation of graded damage for particular geometries in the context of the formulation of a damage law based on a continuous transition between a sound material and a totally or partially broken material. The evolution of damage is associated with a moving layer of finite thickness, defined in the frame of a moving surface \({\varGamma }_o\). The dissipation and the driven forces for the motion of the layer depend on the local shape, in particular on the curvature of the surface \({\varGamma }_o\). This study is then focussed on the effect of this curvature on the stability of the propagation of the layer. Comparison with description of damage with sharp interface is also presented.
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References
Abeyaratne R, Knowles J (1990) On the driving traction acting on a surface of strain discontinuities in a continuum. J Mech Phys Solids 38:345–360
Bui H, Ehrlacher A (1980) Propagation dynamique d’une zone endommagée dans un solide élastique fragile en mode III et en régime permanent. C R Acad Sci Paris B Sci Phys 290:273–276
Gurtin ME, Podio-Guiugli P (1996) Configurational forces and the basic laws for crack propagation. J Mech Phys Solids 44:905–927
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
Pradeilles-Duval RM, Stolz C (1991) On the evolution of solids in the presence of irreversible phase transformation. C R Acad Sci Paris Sér 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. C R Acad Sci Paris Sér II 309:1515–1520
Stolz C (2007) Bifurcation of equilibrium solutions and defects nucleation. Int J Fract 147:103–107
Stolz C (2010) Thermodynamical description of running discontinuities: application to friction and wear. Entropy 12:1418–1439
Stolz C, Moës N (2012) A new model of damage: a moving thick layer approach. Int J Fract 174:49–60
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Stolz, C. On moving thick layer approach for graded damage modelling. Int J Fract 202, 195–205 (2016). https://doi.org/10.1007/s10704-016-0154-2
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DOI: https://doi.org/10.1007/s10704-016-0154-2