# Irreversible deformation in a cubic metal on temperature change

• K. M. Rusinko
• I. M. Goliboroda
Article

## Summary

Temperature swings applied to cubic metals and alloys result in temperature hardening and temperature aftereffects.

In particular, a series of temperature shocks applied under conditions where the upper temperature exceeds the threshold Tcr accelerates the creep (no temperature hardening then occurs), while in the opposite case, the creep is retarded (when both effects occur).

A model is proposed that gives unified equations for rapid plastic strain within yield theory, as well as for creep and the above effects.

The associated yield law is considered for an initially isotropic material showing linear translational hardening; the equation for the loading surface f is
$$f = ({3 \mathord{\left/ {\vphantom {3 2}} \right. \kern-\nulldelimiterspace} 2})(S_{ij} - \alpha _{ij} )(S_{ij} - \alpha _{ij} ) - \sigma _y^2 = 0.$$
The parameterαij defining the center of the loading sphere is given by
$$dx_{ij} = Cd\varepsilon _{ij} - K(\lambda ,\tau )(\alpha _{ij} - \alpha _{ij}^ \cap )dt.$$
The tensor parameter α ij 0 , which is dependent on temperature and controls the thermal hardening, is defined by
$$d\alpha _{ij}^ \cap = L(q\alpha _{ij} - \alpha _{ij}^0 )dt.$$
$$\sigma _y = \sigma _0 (\lambda )(1 + aI(t) - bQ(t)),$$
in which I(t) is the local peak stress function occurring in active loading and Q(t) is an isotropic measure for the thermostructural stresses arising on temperature change.

## Keywords

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