A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler– Pister and Willam–Warnke

DOI10.1098/rspa.2019.0861zbMath1472.74179OpenAlexW3033047804WikidataQ98649507 ScholiaQ98649507MaRDI QIDQ5160974

Oliver Giraldo-Londoño, Glaucio H. Paulino

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2019.0861

zbMATH Keywords

computational mechanicsyield surfacetopology optimizationaugmented Lagrangianstress constraintsmaterial failuremechanical engineeringcivil engineering

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (10)

Polygonal composite elements for stress-constrained topology optimization of nearly incompressible materials ⋮ A level set-based optimized design of multi-material compliant mechanisms considering stress constraints ⋮ Stress‐constrained topology optimization of structures subjected to nonproportional loading ⋮ Simple strategy toward tailoring fracture properties of brittle architected materials ⋮ Stress-related topology optimization with multilevel smoothed isogeometric densities and Bézier elements ⋮ Topology optimization of multiscale structures considering local and global buckling response ⋮ Stress constrained multi-material topology optimization with the ordered SIMP method ⋮ A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis ⋮ Structural topology optimization with predetermined breaking points ⋮ A R\&D software platform for shape and topology optimization using body-fitted meshes

Cites Work

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• On projection methods, convergence and robust formulations in topology optimization
• Topology optimization for minimum weight with compliance and stress constraints
• Stress-constrained topology optimization with design-dependent loading
• Stress constrained topology optimization
• Topology optimization of continuum structures with material failure constraints
• Topology optimization for minimum mass design considering local failure constraints and contact boundary conditions
• An enhanced aggregation method for topology optimization with local stress constraints
• An operator splitting algorithm for Tikhonov-regularized topology optimization
• Topological derivative-based topology optimization of structures subject to Drucker-Prager stress constraints
• A relaxed constant positive linear dependence constraint qualification and applications
• Optimal topologies of truss structures
• Brittle and ductile failure constraints of stress-based topology optimization method for fluid-structure interactions
• Isogeometric analysis based topology optimization design with global stress constraint
• Stress-constrained topology optimization considering uniform manufacturing uncertainties
• Stress-constrained level set topology optimization for design-dependent pressure load problems
• Topology optimization of compliant mechanisms with stress constraints and manufacturing error robustness
• An introduction to continuum mechanics
• Stress-based topology optimization using bi-directional evolutionary structural optimization method
• Topology optimization with local stress constraint based on level set evolution via reaction-diffusion
• Filters in topology optimization
• A level set approach for topology optimization with local stress constraints
• A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion
• On uniqueness in the theory of plasticity
• Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints
• Some implications of work hardening and ideal plasticity
• Extended limit design theorems for continuous media
• Soil mechanics and plastic analysis or limit design

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