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IMA Journal of Management Mathematics 1997 8(2):123-141; doi:10.1093/imaman/8.2.123
© 1997 by Institute of Mathematics and its Applications
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Real-time simulation of thermal stresses and creep in plates subjected to transient heat input

J. H. HATTEL*, T. K. JACOBSEN** and P. N. HANSEN*

*Laboratory of Thermal Processing of Materials, Institute of Manufacturing Engineering, The Technical University of Denmark DK-2800 Lyngby, Denmark
**Materials Department, Rise National Laboratory DK-4000 Roskilde, Denmark

This paper presents a novel numerical technique for solving the temperature and stress fields in a plate subjected to arbitrarily varying transient boundary conditions (transient temperature and heat-flux variations) on a surface. The numerical method is based on the control-volume finite-difference approach. It applies a general formulation which takes into account nonconstant material properties (e.g. temperature, material, or time dependency), heat-transfer coefficients, and creep. The temperature calculation applies a one-dimensional numerical model, whereas the stress analysis is semi-two-dimensional. Both plane stress and plane strain conditions are considered as extreme cases. It is shown that, by using the developed numerical technique, very fast real-time simulations can be performed. The method has proved its applicability in e.g. high-pressure die-casting, and applications to this industrial process are considered.


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