Thermal fracture as a framework for quasi-static crack propagation

Abstract

We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the instability from a straight to a wavy crack propagation by using only the principle of local symmetry and the Griffith criterion. We then argue that the calculations of the stress intensity factors can be combined with the standard crack propagation criteria to obtain the evolution equation for the crack tip within any loading configuration. The theoretical results of the thermal crack problem agree with the numerical simulations we performed using a phase field model. Moreover, it turns out that the phase-field model allows to clarify the nature of the transition between straight and oscillatory cracks which is shown to be supercritical.

19 pages, 8 figures

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• Configurational stability of a crack propagating in a material with mode-dependent fracture energy -- Part II: Drift of fracture facets in mixed-mode I+II+III
• Limitations of the modelling of crack propagating through heterogeneous material using a phase field approach
• Stability and roughness of tensile cracks in disordered materials
• Finite-distance singularities in the tearing of thin sheets
• The dynamics of crack front waves in 3D material failure