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3D Models

3D Corbel

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Tresca
von Mises
Willam–Warnke

3D Corbel

3D corbel fixed at the top and bottom and loaded with a distributed force applied at its free end.
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.
Giraldo-Londoño, O., and Paulino, G. H. (2020). 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. Proceedings of the Royal Society A, 476(20190861), 1-26.
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Problem description

The 3D model above corresponds to the stress-constrained topology optimization results for the 3D corbel shown below. The optimization results were obtained using 250k regular hexahedral elements on a MATLAB implementation of an augmented Lagrangian-based formulation for topology optimization with local stress constraints. The stress constraints are based on a unified failure function that is able to represent several failure criteria such as von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler–Pister, and Willam–Warnke.

Back to 3D Models
Tresca
von Mises
Willam–Warnke

3D Corbel

3D corbel fixed at the top and bottom and loaded with a distributed force applied at its free end.
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.
Giraldo-Londoño, O., and Paulino, G. H. (2020). 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. Proceedings of the Royal Society A, 476(20190861), 1-26.
Download Details

Problem description

The 3D model above corresponds to the stress-constrained topology optimization results for the 3D corbel shown below. The optimization results were obtained using 250k regular hexahedral elements on a MATLAB implementation of an augmented Lagrangian-based formulation for topology optimization with local stress constraints. The stress constraints are based on a unified failure function that is able to represent several failure criteria such as von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler–Pister, and Willam–Warnke.

Back to 3D Models
Tresca
von Mises
Willam–Warnke

3D Corbel

3D corbel fixed at the top and bottom and loaded with a distributed force applied at its free end.
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.
Giraldo-Londoño, O., and Paulino, G. H. (2020). 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. Proceedings of the Royal Society A, 476(20190861), 1-26.
Download Details

Problem description

The 3D model above corresponds to the stress-constrained topology optimization results for the 3D corbel shown below. The optimization results were obtained using 250k regular hexahedral elements on a MATLAB implementation of an augmented Lagrangian-based formulation for topology optimization with local stress constraints. The stress constraints are based on a unified failure function that is able to represent several failure criteria such as von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler–Pister, and Willam–Warnke.

© 2025 Oliver Giraldo-Londoño
Contact · ogiraldo@missouri.edu