Fractal models in fracture mechanics
Source abstract
Abstract
Application of fractal geometry to the problems of fracture mechanics is discussed. Fractal generalization of the energy balance equation to the case of non-square root singularities of the stress field is proposed. Analysis of the fracture at the sharp angular notch in a plate on the basis of the generalized energy balance equation is performed. Good corroboration between the suggested approach and experiments is observed.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Elasticity and Wave Propagation · Material Properties and Failure Mechanisms · Geotechnical and Geomechanical Engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (4)
Show source-provided references
1. Kashtanov, A.V. and Petrov, Y.V. (2001). Fractal Generalization of the Energy Balance Equation in a Linear Fracture Mechanics, SPbSU, St.-Petersburg, (In Russian).
2. Mandelbrot, B.B. (1983). The Fractal Geometry of Nature. Freeman, New York.
3. Morozov, N.F. (1984). Mathematical Problems of a Crack Theory. Nauka, Moscow, (In Russian).
4. Panin, V.E., Grinyaev, Y.V. and Danilov, V.E. etc. (1990). Structural Levels of Plastic Deformation and Fracture. Nauka, Novosibirsk, (In Russian).