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Title: Unstable crack motion is predictable

Abstract

Yoffe's linear theory of dynamic brittle fracture suggests that crack motion will be unstable beyond {approx}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 scaling model based on an effective elastic modulus, coupled with Yoffe's solution, gives successful predictions for the onset speed of the crack instability.

Authors:
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
15011542
Report Number(s):
UCRL-JRNL-206181
TRN: US200507%%525
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Journal Name:
Journal of the Mechanics and Physics of Solids
Additional Journal Information:
Journal Volume: 53; Journal Issue: 5
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; ELASTICITY; FORECASTING; FRACTURES; INSTABILITY; STRAINS; VELOCITY

Citation Formats

Abraham, F. Unstable crack motion is predictable. United States: N. p., 2004. Web.
Abraham, F. Unstable crack motion is predictable. United States.
Abraham, F. Sun . "Unstable crack motion is predictable". United States. https://www.osti.gov/servlets/purl/15011542.
@article{osti_15011542,
title = {Unstable crack motion is predictable},
author = {Abraham, F},
abstractNote = {Yoffe's linear theory of dynamic brittle fracture suggests that crack motion will be unstable beyond {approx}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 scaling model based on an effective elastic modulus, coupled with Yoffe's solution, gives successful predictions for the onset speed of the crack instability.},
doi = {},
journal = {Journal of the Mechanics and Physics of Solids},
number = 5,
volume = 53,
place = {United States},
year = {2004},
month = {8}
}