Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Topology optimisation of an automotive component without final volume constraint specification
Advances in Engineering Software - Special issue on engineering computational technology
Phase-Field Relaxation of Topology Optimization with Local Stress Constraints
SIAM Journal on Control and Optimization
Topology optimization of structures: A minimum weight approach with stress constraints
Advances in Engineering Software - Special issue on design optimization
Structural topology synthesis with dynamics and nonlinearities using equivalent linear systems
Structural and Multidisciplinary Optimization
Finite Elements in Analysis and Design
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A heuristic approach to handle strength constraints based on material failure criteria in multi-material topology optimization is presented. This is particularly advantageous if different materials have different failure criteria. The change in the material failure function in an element due to a contemplated material change is estimated without the need for expensive matrix factorizations. This change is used along with the changes to the objective and deflection-based constraint functions, computed using pseudo-sensitivities, to determine a single aggregated ranking parameter for the element. Elements are ranked on the basis of their ranking parameters and this rank is used to modify the material ID-s of a few top-ranked elements during an optimization iteration. The working of the algorithm is demonstrated on a few example problems showing its effectiveness and utility in deriving optimal topologies with multiple materials in the presence of stress and strain-based failure criteria, in addition to the conventional stiffness-based constraints.