On the elastic-plastic deformation of a centrally heated cylinder exhibiting linear hardening

A closed-form solution of the elastic-plastic deformation of a cylinder with uniform temperature inside its cylindrical core and zero surface temperature is presented for a linearly strain hardening material. The analysis is based on Tresca's yield condition and its associated flow rule. The effect of hardening on the expansion of plastic regions and on the distribution of stress is displayed graphically

Influence of the temperature dependence of the yield stress on the stress distribution in a heat-generating tube with free ends

Based on Tresca's yield condition and its associated flow rule, the elastic-plastic deformation of a heat-generating tube with free ends is investigated by taking into consideration the influence of the temperature dependence of the yield stress. It is found that the expansion of the inner plastic zones as well as the stress state are affected markedly owing to the reduction in the yield stress at elevated temperatures, The stress distribution and the expansion of different plastic regions are displayed graphically and discussed

Elastic-plastic deformation of a heat generating tube with temperature-dependent yield stress

The distribution of stress, plastic strain and displacement in an elastic-perfectly plastic tube with fixed ends in the presence of a uniform heat source is investigated analytically by taking into consideration the temperature dependence of the yield limit. The treatment is based on Tresca's yield condition and its associated flow rule. Depending on the radius ratio of the tube, in general, five different plastic regions, two of them corresponding to an edge regime of Tresca's prism, and an intermediate elastic region occur. Four different ranges of radius ratio of the tube can be distinguished which lead to different patterns of elastic-plastic deformation. In all cases the thermal load is increased up to the value for which the elastic region vanishes