Basic equations determining stress-strain plastic state of metal materials taking into account their physical and structural parameters. (Russian. English summary) Zbl 1475.74014

Tutyshkin, Nikolaĭ Dmitrievich; Travin, Vadim Yur’evich

Chebyshevskiĭ Sb. 22, No. 1(77), 473-481 (2021).

Summary: Basic equations and determining relations are given, which determine stressed-deformed plastic state of metal materials taking into account their physical and structural parameters. The approach to the formulation of defining relationships is based on the inclusion in the number of criterion, along with traditional macro-mechanical, physical and structural parameters. These include, first of all, the parameter of material damage by defects of deformation origin. On the basis of experiments, a connection was established between the stress necessary for the movement of the blocked dislocation and the measure of damage by deformation microfects, necessary for determining the yield strength and, further, the evolution of the loading surface taking into account the factual factors affecting it. The two-stage stretching tests of the AlMg3 alloy samples showed a significant effect of strain resistance on the stress state.

MSC:

74C05	Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74A20	Theory of constitutive functions in solid mechanics
74R20	Anelastic fracture and damage
74-05	Experimental work for problems pertaining to mechanics of deformable solids

Keywords:

constitutive equations; ductility; stress; strain; damage; energy dissipation; load surface