Preliminary Consideration: Background, Approaches and Their Analysis

This chapter presents general information on the present-day concepts of the description and analysis of fracture phenomena in the bodies loaded along preexisting cracks as the non-classical problems of fracture mechanics. In particular, two essentially different approaches to investigating problems on the fracture of bodies compressed along cracks are described, and three basic problems typical of the topics mentioned are formulated. A brief review of the results obtained in the framework of those two approaches is given, and the solutions of respective problems are analyzed in terms of their validity and compliance with the precision usually accepted in the mechanics of a deformable solid. Besides, the general approach to the investigation of problems on the fracture of materials with initial (residual) stresses acting along the cracks present in the material is described, and the results of investigating the respective plane and spatial problems are considered in brief.

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