P. Michaleris et al., ANALYSIS AND OPTIMIZATION OF WEAKLY COUPLED THERMOELASTOPLASTIC SYSTEMS WITH APPLICATIONS TO WELDMENT DESIGN, International journal for numerical methods in engineering, 38(8), 1995, pp. 1259-1285
A systematic approach for the design of weakly coupled thermoelastopla
stic systems is presented. The Newton-Raphson iteration method is used
in the solution process so that analytic design sensitivity formulati
ons may be efficiently derived via the direct differentiation techniqu
e. The derived formulations are suitable for finite element implementa
tions. Analysis and sensitivity analysis capabilities are combined wit
h numerical optimization to form an optimum design algorithm. To demon
strate the algorithm, we optimally design a weldment with respect to m
anufacturing and service life aspects.