  Engineering structures must often be designed to resist thermally induced
stresses. Significant progress has been made on the design of such structures
through thermo-elastic topology optimization. However, a computationally
efficient framework to handle stress-constrained large-scale problems is
lacking. The main contribution of this paper is to address this limitation. In
particular, a unified topological-sensitivity (TS) based level-set approach is
presented in this paper for optimizing thermo-elastic structures subject to
non-uniform temperatures. The TS fields for various thermo-elastic objectives
are derived, and, to address multiple constraints, an augmented Lagrangian
method is developed to explore Pareto topologies. Numerical examples
demonstrate the capability of the proposed framework to solve large-scale
design problems. Comparison is made between pure elastic problems, and its
thermo-elastic counterpart, shedding light on the influence of thermo-elastic
coupling on optimized topologies.
