Design optimization of lattice structures with stress constraints
[Display omitted] •Computational and experimental evaluations of effective mechanical properties.•Homogenization-based stress-constrained optimization of lattice structures.•Implementation of unit cell orthotropic properties in the optimization process.•Experimental investigation of optimized lattic...
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| Published in | Materials & design Vol. 210; p. 110026 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
15.11.2021
Elsevier |
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| Abstract | [Display omitted]
•Computational and experimental evaluations of effective mechanical properties.•Homogenization-based stress-constrained optimization of lattice structures.•Implementation of unit cell orthotropic properties in the optimization process.•Experimental investigation of optimized lattice structure stiffnesses and strengths.
This paper presents an experimentally validated framework used to perform topology and orientation (morphology) optimization of lattice structures subject to stress constraints. The effective stiffnesses and yield stresses of a unit cell are obtained using numerical homogenization and validated experimentally. Due to the orthotropic behavior of the unit cell, the modified Hill’s yield criterion is used to describe the lattice strength. The effective orthotropic properties are implemented via macrostructure topology optimization to further improve the lattice structure stiffness. Homogenization-based optimization is performed using a coarse mesh and the optimized design is projected onto a fine mesh. This reduces the computational cost significantly. Finally, the projected design is post-processed to ensure the fabrication feasibility of the optimized lattice structure. The framework is tested for two cases: an L-shaped bracket and a single-edge notched bend (SENB) problem. A comparison of the compliance-based and stress-constrained designs used in the two cases demonstrates that the changes in the optimal material distribution that occur upon implementing the stress constraint result in higher yield strength. The SENB lattice structures are additively manufactured and the stiffnesses and yield strength of the optimized designs are compared to those obtained numerically. |
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| AbstractList | This paper presents an experimentally validated framework used to perform topology and orientation (morphology) optimization of lattice structures subject to stress constraints. The effective stiffnesses and yield stresses of a unit cell are obtained using numerical homogenization and validated experimentally. Due to the orthotropic behavior of the unit cell, the modified Hill’s yield criterion is used to describe the lattice strength. The effective orthotropic properties are implemented via macrostructure topology optimization to further improve the lattice structure stiffness. Homogenization-based optimization is performed using a coarse mesh and the optimized design is projected onto a fine mesh. This reduces the computational cost significantly. Finally, the projected design is post-processed to ensure the fabrication feasibility of the optimized lattice structure. The framework is tested for two cases: an L-shaped bracket and a single-edge notched bend (SENB) problem. A comparison of the compliance-based and stress-constrained designs used in the two cases demonstrates that the changes in the optimal material distribution that occur upon implementing the stress constraint result in higher yield strength. The SENB lattice structures are additively manufactured and the stiffnesses and yield strength of the optimized designs are compared to those obtained numerically. [Display omitted] •Computational and experimental evaluations of effective mechanical properties.•Homogenization-based stress-constrained optimization of lattice structures.•Implementation of unit cell orthotropic properties in the optimization process.•Experimental investigation of optimized lattice structure stiffnesses and strengths. This paper presents an experimentally validated framework used to perform topology and orientation (morphology) optimization of lattice structures subject to stress constraints. The effective stiffnesses and yield stresses of a unit cell are obtained using numerical homogenization and validated experimentally. Due to the orthotropic behavior of the unit cell, the modified Hill’s yield criterion is used to describe the lattice strength. The effective orthotropic properties are implemented via macrostructure topology optimization to further improve the lattice structure stiffness. Homogenization-based optimization is performed using a coarse mesh and the optimized design is projected onto a fine mesh. This reduces the computational cost significantly. Finally, the projected design is post-processed to ensure the fabrication feasibility of the optimized lattice structure. The framework is tested for two cases: an L-shaped bracket and a single-edge notched bend (SENB) problem. A comparison of the compliance-based and stress-constrained designs used in the two cases demonstrates that the changes in the optimal material distribution that occur upon implementing the stress constraint result in higher yield strength. The SENB lattice structures are additively manufactured and the stiffnesses and yield strength of the optimized designs are compared to those obtained numerically. |
| ArticleNumber | 110026 |
| Author | Tamijani, Ali Y. Fernandes, Rossana R. |
| Author_xml | – sequence: 1 givenname: Rossana R. surname: Fernandes fullname: Fernandes, Rossana R. email: fernanr5@my.erau.edu – sequence: 2 givenname: Ali Y. surname: Tamijani fullname: Tamijani, Ali Y. email: tamijana@erau.edu |
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| Keywords | Cellular solids Topology optimization Morphology optimization Homogenization Additive manufacturing |
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•Computational and experimental evaluations of effective mechanical properties.•Homogenization-based stress-constrained optimization of... This paper presents an experimentally validated framework used to perform topology and orientation (morphology) optimization of lattice structures subject to... |
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| SubjectTerms | Additive manufacturing Cellular solids Homogenization Morphology optimization Topology optimization |
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| Title | Design optimization of lattice structures with stress constraints |
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