Abstract
The results are presented of the study to lay down the foundations of the linearized mechanics of the brittle fracture of materials with initial stresses, including the following aspects. Formulation of main statements and problems for bodies with arbitrary elastic potential. Derivation of strict solutions for a group of main classes of plane and three-dimensional problems under static and dynamic loading. Formulations of brittle fracture criteria for materials with initial stresses. The study of main effects of initial stresses in mechanics of brittle fracture of materials with initial stresses.
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