Blending stiffness and strength disorder can stabilize fracture
1Weizmann Institute of Science, Rehovot, 7610001, Israel.
Physical Review. E
|April 15, 2016
Summary
Blending material disorder stabilizes fracture, making failure predictable. This research shows combining strength and stiffness disorder creates quasibrittle behavior, enhancing construction safety.
Area of Science:
- Materials Science
- Physics
- Fracture Mechanics
Background:
- Quasibrittle behavior, characterized by stable damage and cracking before failure, is desirable for predictable material fracture.
- Understanding the mechanisms that induce quasibrittle behavior is crucial for material design and structural safety.
Purpose of the Study:
- To investigate how blending different types of disorder (strength and stiffness) in material elements influences fracture behavior.
- To derive conditions for achieving quasibrittle behavior based on the distribution of these disorders.
- To analyze the size distribution of fracture events.
Main Methods:
- Utilizing a fiber-bundle model with global load sharing.
- Simulating the effects of combined strength and stiffness disorder on material samples.
- Analyzing the statistical distribution of breaking bursts.
Main Results:
- Blending strength and stiffness disorder transforms brittle materials into quasibrittle ones.
- A specific condition for quasibrittle behavior is derived based on the joint disorder distribution.
- Breaking bursts follow a power-law size distribution with an exponent of 5/2, showing no crossover.
Conclusions:
- Combining strength and stiffness disorder is an effective strategy to achieve stable fracture and quasibrittle behavior in materials.
- The findings provide a theoretical basis for designing safer materials and constructions.
- The power-law distribution of breaking bursts offers insights into fracture dynamics.
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