Thermal Plasticity: Unidirectional Proportional Loading

  • Boris F. ShorrEmail author
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


This chapter deals with the problems of the theory of thermal plasticity in which, under proportional change of stress tensor components, the plastic deformation increases at a loading and heating, and does not vary at unloading and cooling. The temperature range in which creep can be neglected is considered. Analysis of results of material tests under uni- and multi-axis stress at various temperatures shows that, with reference to the specified brand of the problems, non-isothermal variants of the theory of plastic flow and the deformation theory correctly enough present evolution of plastic deformations. The beginning of the plastic flow or its renewal after the intermediate unloading happens when the stress intensity reaches a generalized non-isothermal surface of yielding. Unlike an isothermal loading, the conditions and rate of plastic strain evolution depend on a relationship of rates of the temperature and stress intensity; in particular, plastic strains can increase under reduce of stresses, but increase of temperature. Rational methods of step-by-step calculation of elastoplastic deformations are stated in application to the non-isothermal loading. As the initial approach, the elastic solution is used at small plastic strains, and the solution for ideally plastic body—at major strains. Instances of such solutions are demonstrated. It is shown that the growth of temperatures at combined stress leads to diminish of a short-term carrying capacity of a structure because of the change of a material strength characteristics, while a role of temperature stresses induced by a non-uniform heating distinctly weakens when plastic strains considerably exceed the thermal expansion.


Plastic Deformation Stress Intensity Plastic Strain Deformation Curve Combine Stress 
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© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Central Institute of Aviation Motors (CIAM)MoskvaRussia

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