Geodesic
The stress state of a strip with a layer under considerable mechanical heterogeneity
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 4, pp. 11-19

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The stress state of the inhomogeneous strip, containing a rectangular insertion made from a less strong material was investigated under compressive loading with plane deformation during the critical moment of loading. The relationship between the strength characteristics of the basic material and the insert material is assumed to be arbitrary. Explicit analytical expressions to calculate critical loading were obtained.
Keywords: plastic layer; plane deformation; compression; stress state; critical loading. 
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     title = {The stress state of a strip with a layer under considerable mechanical heterogeneity},
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V. L. Dil'man; A. N. Dheyab. The stress state of a strip with a layer under considerable mechanical heterogeneity. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 4, pp. 11-19. http://geodesic.mathdoc.fr/item/VYURM_2015_7_4_a1/