A level set method for structural topology optimization and its applications
Advances in Engineering Software
A new algorithm for topology optimization using a level-set method
Journal of Computational Physics
Block aggregation of stress constraints in topology optimization of structures
Advances in Engineering Software
Topology optimization of continuum structures with Drucker-Prager yield stress constraints
Computers and Structures
Robust topology optimisation of bi-modulus structures
Computer-Aided Design
Development of a novel phase-field method for local stress-based shape and topology optimization
Computers and Structures
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This research develops a stress-based topology optimization method (STOM) that considers various static failure criteria, including those from the maximum shear stress theory, the distortion energy theory, the ductile Coulomb-Mohr theory, the brittle Coulomb-Mohr theory, and the modified Mohr theory for ductile and brittle materials. Due to some theoretical and numerical challenges, the above static failure theories have not been implemented in topology optimization. By substituting failure formulas that are non-differentiable with respect to the stress components and design variables with differentiable approximation formulas, it is possible to utilize these failure criteria to design mechanical structures that minimize mass.