Stress-based and robust topology optimization for thermoelastic multi-material periodic microstructures

To take advantage of multi-material additive manufacturing technology using mixtures metal alloys, a topology optimization framework is developed to synthesize high-strength spatially periodic metamaterials possessing unique thermoelastic properties. A thermal and mechanical stress analysis formulation based on homogenization theory used in regional scaled aggregation constraint method. Since specific load cases are not always known beforehand, method worst-case minimization also included efficiently address uncertainty. It shown that the two stress-based techniques lead expansion properties highly sensitive small changes material distribution composition. resolve this issue, uniform uncertainty utilized which considers variations both geometry mixture. Test high stiffness, zero expansion, negative microstructures generated, methods applied demonstrate how alter optimized designs. Large reductions achieved while maintaining robust strength