Conclusion
Guz's linearized theory of elasticity for a body containing initial stresses is employed to solve for a planar surface of discontinuity in the stresses and strains. Integral Fourier transformation is used to reduce the treatment to integral equations for the functions of the steps in the stresses and strains.
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A. N. Guz', Mechanics of Brittle Failure in Materials Containing Initial Stresses [in Russian], Naukova Dumka, Kiev (1983).
M. Ya. Leonov, “The inversion method in contact treatments in elastic theory,” in: Aspects of Machine Science and Strength in Engineering: Scientific Papers from the Institute of Machine Science and Automatics, Ukrainian Academy of Sciences [in Russian], No. 1 (1953), pp. 39–49.
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Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 27, No. 4, pp. 41–44, July–August, 1991.
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Silovanyuk, V.P. A planar surface of discontinuity in a preloaded body. Mater Sci 27, 367–370 (1992). https://doi.org/10.1007/BF00723226
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DOI: https://doi.org/10.1007/BF00723226