Optimization of thermo‐elasto‐plastic processes using Eulerian sensitivity analysis
- 3 January 2003
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 56 (8), 1125-1150
- https://doi.org/10.1002/nme.605
Abstract
A computational scheme for the analysis and optimization of quasi‐static thermo‐mechanical processes is presented in this paper. In order to obtain desirable mechanical transformations in a workpiece using a thermal treatment process, the optimal control parameters need to be determined. The problem is addressed by posing the process as a decoupled thermo‐mechanical finite element problem and performing an optimization using gradient methods. The forward problem is solved using the Eulerian formulation since it is computationally more efficient compared to an equivalent Lagrangian formulation. The design sensitivities required for the optimization are developed analytically using direct differentiation. This systematic design approach is applied to optimize a laser forming process. The objective is to maximize the angular distortion of a specimen subject to the constraint that the phase transition temperature is not exceeded at any point in the model. Copyright © 2003 John Wiley & Sons, Ltd.Keywords
This publication has 31 references indexed in Scilit:
- An analytical model for the prediction of distortions caused by the laser forming processJournal of the American Academy of Dermatology, 2000
- Using neural networks to predict bending angle of sheet metal formed by laserInternational Journal of Machine Tools and Manufacture, 2000
- Laser bending of leadframe materialsJournal of the American Academy of Dermatology, 1998
- Steady-State Formulation for Stress and Distortion of WeldsJournal of Engineering for Industry, 1994
- Tangent operators and design sensitivity formulations for transient non‐linear coupled problems with applications to elastoplasticityInternational Journal for Numerical Methods in Engineering, 1994
- Consistent Strain Fields in 3D Finite Element Analysis of WeldsJournal of Pressure Vessel Technology, 1990
- Theoretical analysis of laser transformation hardening process of hypoeutectoid steel based on kinetics.TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A, 1990
- Sensitivity analysis of functionals with respect to shape for dynamically loaded nonlocal thermoelastic solidsInternational Journal of Engineering Science, 1988
- VARIATIONAL APPROACH TO SENSITIVITY ANALYSIS IN THERMOELASTICITYJournal of Thermal Stresses, 1987
- Computation of Residual Stresses due to Multipass Welds in Piping SystemsJournal of Pressure Vessel Technology, 1979