Catastrophic Failure and Critical Scaling Laws of Fiber Bundle Material
AbstractThis paper presents a spring-fiber bundle model used to describe the failure process induced by energy release in heterogeneous materials. The conditions that induce catastrophic failure are determined by geometric conditions and energy equilibrium. It is revealed that the relative rates of deformation of, and damage to the fiber bundle with respect to the boundary controlling displacement ε0 exhibit universal power law behavior near the catastrophic point, with a critical exponent of −1/2. The proportion of the rate of response with respect to acceleration exhibits a linear relationship with increasing displacement in the vicinity of the catastrophic point. This allows for the prediction of catastrophic failure immediately prior to failure by extrapolating the trajectory of this relationship as it asymptotes to zero. Monte Carlo simulations are completed and these two critical scaling laws are confirmed. View Full-Text
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Hao, S.; Yang, H.; Liang, X. Catastrophic Failure and Critical Scaling Laws of Fiber Bundle Material. Materials 2017, 10, 515.
Hao S, Yang H, Liang X. Catastrophic Failure and Critical Scaling Laws of Fiber Bundle Material. Materials. 2017; 10(5):515.Chicago/Turabian Style
Hao, Shengwang; Yang, Hang; Liang, Xiangzhou. 2017. "Catastrophic Failure and Critical Scaling Laws of Fiber Bundle Material." Materials 10, no. 5: 515.
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