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Effect of material hardening on the stress state of elastico-plastic shell with internal crack. (Ukrainian, English) Zbl 1274.74014

Mat. Metody Fiz.-Mekh. Polya 54, No. 2, 123-128 (2011); translation in J. Math. Sci., New York 184, No. 2, 145-152 (2012).
The authors discuss a problem about the stress state of an elasto-plastic isotropic shell of arbitrary curvature with an internal crack, with allowance for material hardening. A system of singular integral equations is obtained and solved numerically by the mechanical quadratures method. The effect of material hardening on basic characteristics of the stress state is studied.

MSC:

74A10 Stress
74K25 Shells
74A45 Theories of fracture and damage