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Stress-Strain State and Energy Fluxes in a Plate Containing a Stationary Crack under Impulsive Loading

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Abstract

We study the stress-strain state and energy fluxes in a continuous infinite plate and in a plate containing a stationary crack of finite length under impulsive loading. For this purpose, we develop a model of formation of the zone of elevated stresses and the zone of unloading as well as a numerical procedure for the evaluation of their parameters. We deduce analytic expressions for the quantitative analysis of the stress-strain state and energy fluxes in the plate near the tip of the stationary crack under arbitrary impulsive loading. The theoretical results are compared with the experimental data on the initiation of main cracks in plane specimens made of solid polymers. We formulate a quantitative criterion for the difference between the dynamic and quasistatic loading of a crack and show that the dynamic and static fracture processes can be described within the framework of a single approach.

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Kostandov, Y.A., Ryzhakov, A.N. & Shipovskii, I.E. Stress-Strain State and Energy Fluxes in a Plate Containing a Stationary Crack under Impulsive Loading. Strength of Materials 32, 398–406 (2000). https://doi.org/10.1023/A:1026621121680

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  • DOI: https://doi.org/10.1023/A:1026621121680

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