Abstract
In recent decades, the Cherepanov-Rice J-integral has been considered to be the main energy criterion for fracture toughness in solving the problems of fracture mechanics. This parameter is successfully used in the consideration of elastic problems and within the framework of deformation theory of plasticity for stationary cracks. Unfortunately, the theoretical basis on which the J-integral is based does not allow it to be extended to solve problems requiring material inhomogeneity, the presence of temperature influences, an arbitrary load history, mass forces, crack development, and the like. The purpose of the paper is to review other integrals independent of the contour of integration, from the point of view of their theoretical justification, the possibility of experimentally determined and the ease of calculation. The article considers the J-integral, integrals of Wilson-Yu, Gurtins, Blackburn, Kishimoto, Ainsworth, Atluri.
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