On the stress-strain curves obtained in simple tensile experiments for the metallic
specimens a region of instability due to the formation of a neck is observed. In the theory of
plasticity the conditions of transition to the unstable state and the appearance of the maximum
point on the of stress-strain curve are defined. When this condition is derivate, the assumption
of incompressibility of the material is accepted. However, this assumption cannot be justified,
because in the neck region the numerous damages appear, i.e. the material becomes
compressible. In the article, the condition of transition to unstable state for a compressible
plastic medium is formulated.
Keywords: elastic-plastic medium; unstable state; necking; condition of transition.
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