Abstract
Rapid quenching of brittle materials gives rise to hierarchically ordered crack patterns. A scenario of thermal shock crack propagation can be derived: unstable propagation of several out of a great number of preexisting surface flaws leads to a transient state of cracks of nearly equal lengths and spacing. In the further process of stable multiple propagation, the progressive unloading among the cracks results in the formation of hierarchical patterns.
For equidistant parallel cracks, bifurcation and post-critical behaviour are analyzed by means of the boundary element method (BEM) applied to the exact fracture mechanical problem. Other details are investigated numerically by a simplified potential model.
The mutual inhibition of growing structural elements can be regarded as a structure forming principle which works for Laplacian structures, too.
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Bahr, HA., Bahr, U., Balke, H., Maschke, H., Petzold, A., Weiß, HJ. (1993). Multiple Crack Propagation under Thermal Load. In: Schneider, G.A., Petzow, G. (eds) Thermal Shock and Thermal Fatigue Behavior of Advanced Ceramics. NATO ASI Series, vol 241. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8200-1_11
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DOI: https://doi.org/10.1007/978-94-015-8200-1_11
Publisher Name: Springer, Dordrecht
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