Phase transition in a spring-block model of surface fracture

KT Leung, JV Andersen - Europhysics Letters, 1997 - iopscience.iop.org
KT Leung, JV Andersen
Europhysics Letters, 1997iopscience.iop.org
A simple and robust spring-block model obeying threshold dynamics is introduced to study
surface fracture of an overlayer subject to stress induced by adhesion to a substrate. We find
a novel phase transition in the crack morphology and fragment-size statistics when the strain
and the substrate coupling are varied. Across the transition, the cracks display in succession
short-range, power law and long-range correlations. The study of stress release prior to
cracking yields useful information on the cracking process.
Abstract
A simple and robust spring-block model obeying threshold dynamics is introduced to study surface fracture of an overlayer subject to stress induced by adhesion to a substrate. We find a novel phase transition in the crack morphology and fragment-size statistics when the strain and the substrate coupling are varied. Across the transition, the cracks display in succession short-range, power law and long-range correlations. The study of stress release prior to cracking yields useful information on the cracking process.
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