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Strength of Materials
Published in: Strength of Materials 5/2011

01-09-2011

Two-level fracture criterion for materials

Authors: Yu. A. Kostandov, I. E. Shipovskii

Published in: Strength of Materials | Issue 5/2011

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Abstract

A phenomenological model of dynamic fracture of solids and a two-level fracture criterion, which takes into account increase in the degree of damage of materials on loading, are proposed. Within the framework of a model of elastoplastic solid, solutions of a three-dimensional problem of the dynamic fracture of rock on its interaction with the cutting tool have been obtained by a numerical method. The effect of the criterion on the development of the fracture process and the dependence of cutting force on time are considered.
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Literature
1.
N. F. Morozov, Mathematical Questions of the Theory of Cracks [in Russian], Nauka, Moscow (1984).
2.
G. P. Cherepanov, Brittle Fracture Mechanics [in Russian], Nauka, Moscow (1974).
3.
G. M. Bartenev, Strength and Fracture Mechanism of Polymers [in Russian], Khimiya, Moscow (1984).
4.
A. A. Kaminskii and D. A. Gavrilov, Fracture Mechanics of Polymers [in Russian], Naukova Dumka, Kiev (1988).
5.
Yu. A. Kostandov, A. N. Ryzhakov, and I. E. Shipovskii, “Stress–strain state and energy fluxes in a plate containing a stationary crack under impulsive loading,” Strength Mater., 32, No. 4, 398–406 (2000).CrossRef
6.
Yu. A. Kostandov, L. Ya. Lokshina, and I. E. Shipovskii, “Problem of tool-rock interaction in generalized elastoplastic formulation,” in: Dynamic Systems [in Russian], Issue 18 (2004), pp. 144–153.
7.
Yu. A. Kostandov, A. N. Ryzhakov, S. I. Fedorkin, and I. E. Shipovskii, “Computer-based optimization of the strength and geometric characteristics of building blocks,” in: Collection of Scientific Papers of the Crimean Academy of Environmental Protection and Health Resort Construction. Ser. Construction, Technogenic Safety [in Ukrainian], Issue 5 (2001), pp. 71 – 81.
Metadata
Title
Two-level fracture criterion for materials
Authors
Yu. A. Kostandov
I. E. Shipovskii
Publication date
01-09-2011
Publisher
Springer US
Published in
Strength of Materials / Issue 5/2011
Print ISSN: 0039-2316
Electronic ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-011-9329-2

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