Study of Integration Strategy for Thermal-Elastic-Plastic Models

[+] Author and Article Information
H.-K. Hong

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan

H.-S. Lan, J.-K. Liou

Chung-Shan Institute of Science and Technology, Lungtan, Taoyuan, Taiwan

J. Pressure Vessel Technol 114(1), 39-45 (Feb 01, 1992) (7 pages) doi:10.1115/1.2929010 History: Received January 09, 1991; Revised May 08, 1991; Online June 17, 2008


The accuracy of a new integration algorithm is examined for a von Mises-type model of thermal-elastic-plasticity with nonlinear, mixed isotropic-kinematic hardening. The algorithm is founded on the frame of an integral representation of the conventional rate constitutive equations in contrast to the conventional rate equations themselves. The thermal effect on the yield surface is built in this approach without any difficulty. Under a generalized assumption of a constant strain rate, the model can be reduced to two scalar first-order ordinary differential equations which make an error-controllable integration method possible. Furthermore, for a nonconstant strain rate, e.g., a linear strain rate, the same idea of derivation achieves a similar conclusion. Errors of single-step stress predictions for given total strain increments are discussed.

Copyright © 1992 by The American Society of Mechanical Engineers
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