Geodesic
Modeling of a~Deformation Localization in a~Medium with Different Strengths
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 3, pp. 272-283

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A special mathematical model which is a generalization of a classical model of the elasticity theory is used for the analysis of directions of a deformation localization in samples made of solid material with different strengths. Numerical solution of the problems is carried out by means of iterative process. At each step of this process the equations of the elasticity theory with initial stresses are solved by means of the finite-elements method.
Keywords: deformations localization, mathematical model, elasticity theory. 
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Olga I. Kuzovatova; Vladimir M. Sadovsky. Modeling of a~Deformation Localization in a~Medium with Different Strengths. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 3, pp. 272-283. http://geodesic.mathdoc.fr/item/JSFU_2008_1_3_a5/