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Does the continuum theory of dynamic fracture work?
David A Kessler1, Herbert Levine
1Department of Physics, Bar-Ilan University, Ramat-Gan, Israel.
Summary
Linear elastic fracture mechanics accurately predicts dynamic fracture in lattice simulations. However, experimental data from Sharon and Fineberg contradict these theoretical expectations for dynamic fracture behavior.
Area of Science:
- Solid Mechanics
- Materials Science
- Computational Physics
Background:
- Linear elastic fracture mechanics (LEFM) is a cornerstone for analyzing crack propagation.
- Dynamic fracture introduces complexities not fully captured by static LEFM.
- Understanding LEFM's validity in dynamic scenarios is crucial for material design and safety.
Purpose of the Study:
- To rigorously assess the predictive power of LEFM for dynamic fracture.
- To compare theoretical LEFM predictions with results from lattice simulations and experimental data.
- To identify discrepancies between LEFM theory and observed dynamic fracture behavior.
Main Methods:
- Utilized lattice simulations to model dynamic fracture propagation.
- Employed Eshelby's formula for calculating the time-dependent stress intensity factor.
- Analyzed experimental data from Sharon and Fineberg's dynamic fracture experiments.
Main Results:
- Lattice simulations demonstrated excellent agreement with LEFM predictions.
- Eshelby's formula accurately described the time-dependent stress intensity factor in simulations.
- Experimental data from Sharon and Fineberg showed significant deviations from LEFM theoretical expectations.
Conclusions:
- LEFM shows strong validity for dynamic fracture within lattice simulation frameworks.
- Discrepancies arise when applying LEFM to real-world experimental dynamic fracture scenarios.
- Further theoretical or experimental refinements are needed to reconcile LEFM with observed dynamic fracture phenomena.