INTEGRATED FINITE-ELEMENT ANALYSIS OF COUPLED THERMOVISCOPLASTIC PROBLEMS

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Abstract
The quenching of a thick-walled viscoplastic cylinder cooled from To = 320° C down to room temperature is examined. The transient thermomechanical problem is partitioned into the staggered solution of thermal-heat conduction and elastic-viscoplastic response behavior using finite elements. Fully implicit time operators are applied to both field problems, which are coupled on one side by the mechanical heat production of thermoelasticity and thermoviscoplasticity and on the other by the ensuing thermal expansion due to temperature transients. In both analysis steps a quasi-Newton technique (BFGS algorithm) is applied for solving the implicit nonlinear problem within each time step. In this way the entire coupled thermomechanical response is monitored incrementally, starting from the initially pressurized condition at elevated temperature up to the steady-state behavior at room temperature after quenching.

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