Schelokova M. Fractal generalization of energy criterion for quasi-brittle fracture of solids

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U002181

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

24-04-2007

Specialized Academic Board

Д17.052.01

Essay

Fracture of construction elements with stress concentrator (crack like defects, technological crater cuts). The aim is to develop the fractal generalization of energetic criterion for quasi-brittle fracture in solid bodies. Research methods are fractal analysis, fraction integral-differential calculus. Fractal generalization of energetic Griffiths' concept is made. There was defined, that geometric peculiarity of crater cut top profile is fractal dimension of set from top neighborhood. Found dependence of value of critical loading from value of cut angle and crack fractal dimension that is developed at the top of crater. The field of application is computation of strength and durability of structures that have defects of various nature.

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