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Variational principle in the theory of plastic flow taking into account formation of tensile cracks. (English. Russian original) Zbl 0888.73040

Phys.-Dokl. 40, No. 6, 297-299 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 4, 484-486 (1995).
Starting from the equation of virtual power for a region including a plane finite crack with normal velocity discontinuity, and taking into account the tensile fracture and the convexity of the yield surface, the authors derive a variational principle which implies that a minimum principle is valid for a real velocity field. Finally, the authors consider the case of non-vanishing tangential velocities.

MSC:

74R99 Fracture and damage
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type