compressible elastic-plastic body, theory of plastic flow, normal ratio law, space of external impacts, plane stress state

In present paper algorithms for determining stresses and deformations in a compressible elastic perfectly plastic body for an axisymmetric plane stress state, when choosing a piecewiselinear plasticity condition of general form, are offered. The constitutive equation is derived from the associative law of plastic flow. In the space of external impacts the form of a polygon of plasticity is found. The algorithm for determining boundaries of changing values of external impacts, allowing to establish which regime of plasticity in the process of loading will be performed in the nascent plastic zone, is offered. Boundary of origin of plastic zone for construction of algorithm for determining the stress state is found. It is shown, that different plasticity regimes can be performed in the plastic zone. An equation for boundary of the transition from one plasticity regime to another, which is used for evaluating stresses in plastic zone, is obtained. Regimes of plasticity are determined, and formulas for evaluating, which plasticity regimes will be satisfied in the plastic zone, are obtained. Calculations and graphs of stress distribution for concrete plasticity conditions are given.

Pereyaslavskaya Irina Igorevna, e-mail: irika5319@yandex.ru, Postgraduate student, Voronezh State University, Voronezh, Russia.

Artemov Mikhail Anatolievich e-mail: artemov_m_a@mail.ru, Head of the Chair, Dr. Sci. Phys. & Math., Professor, Voronezh State University, Voronezh, Russia.

Baranovskii Evgenii Sergeevich, e-mail: esbaranovskii@gmail.com, Associate Professor, Cand. Sci. Phys. & Math., Voronezh State University, Voronezh, Russia