Tunable failure: control of rupture through rigidity

Abstract

We investigate how material rigidity acts as a key control parameter for the failure of solids under stress. In both experiments and simulations, we demonstrate that material failure can be continuously tuned by varying the underlying rigidity of the material while holding the amount of disorder constant. As the rigidity transition is approached, failure due to the application of uniaxial stress evolves from brittle cracking to system-spanning diffuse breaking. This evolution in failure behavior can be parameterized by the width of the crack. As a system becomes more and more floppy, this crack width increases until it saturates at the system size. Thus, the spatial extent of the failure zone can be used as a direct probe for material rigidity.

12 pages, 4 figures

References in corpus (6)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Statistical Models of Fracture
• Selective buckling via states of self-stress in topological metamaterials
• Non-affine response: jammed packings versus spring networks
• Turbulent fracture surfaces: A footprint of damage percolation?
• Fracture Toughness of Metallic Glasses: Ductile-to-Brittle Transition?

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