This article is cited in 3 papers

Geometric characteristics of fracture-associated space and crack propagation in a material

I. A. Miklashevich

Belarus' State Polytechnical Academy, Minsk, 220027, Belarus'

Abstract: It is shown that fracture can be treated as a process occurring in the Finsler space. The use of the Finsler space allows one to construct a delaminated manifold whose characteristics are related to the defect structure of the medium. A method of determining the fractal dimension of fracture is developed using the concept of crack propagation along geodesics.

Keywords: fracture, thickness, defect structure, Finsler space.

UDC: 539.3+531.391.5+539.219.2

Received: 13.07.2001
Accepted: 06.08.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2003, 44:2, 255–261

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