Diffuse interface approach to brittle fracture

Details Diffuse interface approach to brittle fracture Diffuse interface approach to brittle fracture

2004-01-22

arxiv.org/abs/cond-mat/0401431v2

Phys. Rev. E 71, 036110 (2005)

Physics

Condensed Matter

Statistical Mechanics

Version to appear in PRE, Vol. 71, February, 14 pages, 11 figures

Scientific paper

10.1103/PhysRevE.71.036110

We present a continuum model for the propagation of cracks and fractures in brittle materials. The components of the strain tensor $\epsilon$ are the fundamental variables. The evolution equations are based on a free energy that reduces to that of linear elasticity for small $\epsilon$, and accounts for cracks through energy saturation at large values of $\epsilon$. We regularize the model by including terms dependent on gradients of $\epsilon$ in the free energy. No additional fields others than the strain tensor $\epsilon$ are introduced, and then the whole dynamics is perfectly defined. We validate the model in controlled cases, and present a couple of non trivial applications.

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