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A kinetic approach to theory of fracture of crystalline solids

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Abstract

The paper deals with main results obtained due to a kinetic approach to the theory of fracture in crystalline solids and their most promising applications. In the general case fracture is regarded as a multistage kinetic process, each stage being characterized by a special shape of cracks and a micromechanism of growth. Correlation between different stages of the process and the macroscopic character of fracture is determined by a number of parameters obtained from the force and energy criteria and dislocation substructure, as well. The study of dislocation models has shown that thermal agitation considerably changes the character of fracture both at the stage of microcrack nucleation and at the stage of macrocracks growth.

Microcracks nucleated in plastic bodies at dislocation arrangements transform into pores with the characteristic size ⪝ 1 μm. They are mechanically stable but may dissolve emitting vacancies. The micropores are typical elements of the defect structure of plastic bodies.

Interrelationship between the local and non-local strainhardening in front of the tip of a macrocrack determines the microscopic mechanism of its growth.

The kinetic approach to theory of fracture enables us to comprehend the microscopic significance of a number of the parameters used in the mechanics of fracture and to obtain some new qualitative results in describing the process.

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Vladimirov, V.I. A kinetic approach to theory of fracture of crystalline solids. Int J Fract 11, 869–880 (1975). https://doi.org/10.1007/BF00012903

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