A method to estimate the deformation due to thermal ratcheting under multiaxial stress was presented from the viewpoint of thermoplasticity by employing the general yield function associated with the kinematic hardening rule. The analysis developed here indicates that the ratchet strain of a sufficiently work-hardened material under varying stress and temperature can be predicted from the data of the progressive strain under uniaxial cyclic stress at constant temperatures.
Also the comparison was made with the experimental results of low carbon steel subjected to uniaxial cyclic thermal stress combined with mechanical steady stress.