Unstable crack motion is predictable |
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| Authors: | Farid F Abraham |
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| Institution: | a Lawrence Livermore National Laboratory, Livermore, CA 94550, USA
b The University of Georgia, Athens, GA 30602, USA1 |
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| Abstract: | Yoffe's linear theory of dynamic brittle fracture suggests that crack motion will be unstable beyond ∼70% of the Rayleigh speed, a prediction that is not supported by experiment. We show by atomistic simulations that hyperelasticity, the elasticity of large strains, plays a governing role in the instability dynamics of brittle fracture. A simple, yet remarkable, scaling model based on an effective elastic modulus (the secant modulus at the stability limit) gives successful predictions for the onset speed of the crack instability. |
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| Keywords: | Dynamic fracture Instability Materials failure Hyperelasticity Atomistic simulation Molecular dynamics Scaling Yoffe |
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