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Journal of Applied Mechanics and Technical Physics

2014 year, number 5

Determination of Stress Intensity Factors in Three-Dimensional Problems of Fracture Mechanics

V. M. Tikhomirov
Siberian State University of Railway Transport, Novosibirsk, 630049 Russia
Keywords: three-dimensional body with a notch, stress intensity factors, numerical analysis of stress- strain states

Abstract

Dependences of displacements of the surface of a notch on the corresponding stress intensity factors were obtained for axisymmetric bodies with internal and external notches under different deformations (tensile, shear, bending, and torsion). An algorithm is proposed to determine the stress intensity factors of three types (opening mode, longitudinal shear, and transverse shear) from displacements of the notch surface near its tip. The effectiveness of the algorithm is shown, as an example, for numerical analysis of various three-dimensional problems of fracture mechanics.