Stiffness and strength enhancement of triply periodic minimal surface-based shell lattices via a novel shape optimization framework
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Topology Optimization in Engineering · Cellular and Composite Structures · Advanced Mathematical Modeling in Engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (62)
Show source-provided references
1. Mechanical metamaterials and beyond10.1038/s41467-023-41679-8 ↗
2. Multi-physical lattice metamaterials enabled by additive manufacturing: design principles, interaction mechanisms, and multifunctional applications10.1002/advs.202405835 ↗
3. Review on mechanical properties of metal lattice structures10.1016/j.compstruct.2024.118267 ↗
4. Review on lattice structures for energy absorption properties10.1016/j.compstruct.2022.116397 ↗
5. Manufacturing and potential applications of lattice structures in thermal systems: a comprehensive review of recent advances10.1016/j.ijheatmasstransfer.2022.123352 ↗
6. Recent advancements of micro-lattice structures: application, manufacturing methods, mechanical properties, topologies and challenges10.1007/s13369-021-05992-y ↗
7. The family of elastically isotropic stretching-dominated cubic truss lattices
8. Analytical design of stretching-dominated truss lattices with tailored elasticity from transversely isotropic base materials10.1016/j.matdes.2023.111995 ↗
9. Elastically-isotropic open-cell minimal surface shell lattices with superior stiffness via variable thickness design
10. Imperfection-enabled strengthening of ultra-lightweight lattice materials10.1002/advs.202402727 ↗
11. Triply periodic minimal surface (TPMS) porous structures: from multi-scale design, precise additive manufacturing to multidisciplinary applications10.1088/2631-7990/ac5be6 ↗
12. An experimental and numerical investigation of compressive response of designed Schwarz Primitive triply periodic minimal surface with non-uniform shell thickness10.1016/j.eml.2020.100671 ↗
13. Adaptive enhancement design of triply periodic minimal surface lattice structure based on non-uniform stress distribution10.1007/s10483-023-3013-9 ↗
14. An efficient method for shape and topology optimization of shell structures10.1007/s00158-022-03213-0 ↗
15. Shape–thickness–topology coupled optimization of free-form shells10.1016/j.autcon.2022.104476 ↗
16. Parameter-free optimum design method of stiffeners on thin-walled structures10.1007/s00158-013-0954-1 ↗
17. Compressive enhancement gyroid lattice with implicit modeling implementation and modified GA model property prediction10.1016/j.matdes.2023.112153 ↗
18. Development of conformal shell lattices via laser powder bed fusion and unraveling their mechanical responses via modeling and experiments
19. Continuous transitions of triply periodic minimal surfaces
20. Mechanical and energy absorption characteristics of additively manufactured functionally graded sheet lattice structures with minimal surfaces10.1016/j.ijmecsci.2019.105262 ↗
21. Hierarchical sheet triply periodic minimal surface lattices: design, geometric and mechanical performance10.1016/j.matdes.2021.109931 ↗
22. Hierarchical triply periodic minimal surface shell lattices with superior isotropic elasticity: Design guidelines, fabrication, and validation
23. Stiffness and strength enhancement of hierarchical TPMS-based shell lattices via inter-level conformal design
24. Machine learning–enabled inverse design of shell-based lattice metamaterials with optimal sound and energy absorption10.1080/17452759.2024.2412198 ↗
25. Advanced Mechanical Metamaterials: Hybrid Lattice Structures, Design Strategies, Multifunctionality, and Challenges for Additive Manufacturing10.1002/adem.202500308 ↗
26. Level set-based topology optimization for compliance and stress minimization of shell structures using trimmed quadrilateral shell meshes10.1016/j.compstruc.2021.106695 ↗
27. Programmable multistable perforated shellular
28. Decoupling minimal surface metamaterial properties through multi-material hyperbolic tilings
29. Ultrastiff metamaterials generated through a multilayer strategy and topology optimization10.1038/s41467-024-47089-8 ↗
30. Inverse design of shell-based mechanical metamaterial with customized loading curves based on machine learning and genetic algorithm10.1016/j.cma.2022.115571 ↗
31. Deep learning in mechanical metamaterials: from prediction and generation to inverse design10.1002/adma.202302530 ↗
32. Topology optimization methods for additive manufacturing: a review10.1051/smdo/2023015 ↗
33. Topology optimization of multi-scale structures: a review10.1007/s00158-021-02881-8 ↗
34. Accelerating large-scale topology optimization: state-of-the-art and challenges10.1007/s11831-021-09544-3 ↗
35. Stress constrained multi-material topology optimization with the ordered SIMP method10.1016/j.cma.2020.113453 ↗
36. Cellular level set in B-splines (CLIBS): a method for modeling and topology optimization of cellular structures10.1016/j.cma.2019.02.026 ↗
37. Color” level sets: a multi-phase method for structural topology optimization with multiple materials10.1016/j.cma.2003.10.008 ↗
38. A level set method for structural topology optimization10.1016/S0045-7825(02)00559-5 ↗
39. Shape design optimization of cylindrical tank using b-spline curves10.1016/j.compfluid.2014.12.004 ↗
40. A non-parametric free-form optimization method for shell structures10.1007/s00158-014-1059-1 ↗
41. Realizing negative Poisson's ratio in spring networks with close-packed lattice geometries
42. Radial basis functions and level set method for structural topology optimization10.1002/nme.1536 ↗
43. Elastically isotropic open-cell uniform thickness shell lattices with optimized elastic moduli via shape optimization10.1016/j.matdes.2022.110426 ↗
44. Physics-informed neural networks with hard constraints for inverse design10.1137/21M1397908 ↗
45. Stress-based shape and topology optimization with the level set method10.1016/j.cma.2017.09.001 ↗
46. Optimal Free-form Design of Shell Structure for Stress Minimization
47. Traction method approach to optimal shape design problems
48. Additively-manufactured anisotropic and isotropic 3D plate-lattice materials for enhanced mechanical performance: Simulations & experiments10.1016/j.actamat.2020.08.063 ↗
49. Kink band predictions in fiber composites using periodic boundary conditions10.1016/j.compstruct.2018.09.055 ↗
50. Periodic boundary condition and its numerical implementation algorithm for the evaluation of effective mechanical properties of the composites with complicated micro-structures10.1016/j.compositesb.2018.10.053 ↗
51. Laser additive manufacturing of high-resolution microscale shell lattices by toolpath engineering10.1088/2631-7990/ae01ff ↗
52. Comparison of the microstructure, mechanical properties and distortion of stainless steel 316 L fabricated by micro and conventional laser powder bed fusion
53. Metallic perforated plate lattices with superior buckling strength10.1016/j.matdes.2024.113544 ↗
54. Elastically-isotropic elementary cubic lattices composed of tailored hollow beams10.1016/j.eml.2018.04.005 ↗
55. Understanding the superior mechanical properties of hollow-strut metal lattice materials10.1016/j.scriptamat.2023.115341 ↗
56. Plate-nanolattices at the theoretical limit of stiffness and strength10.1038/s41467-020-15434-2 ↗
57. Mechanical properties of a new type of plate–lattice structures10.1016/j.ijmecsci.2020.106141 ↗
58. Mechanical properties assessment for a titanium alloy plate lattice: Finite element and analytical studies10.1557/s43578-025-01677-6 ↗
59. Properties and applications of additively manufactured metallic cellular materials: a review10.1016/j.pmatsci.2021.100918 ↗
60. Evaluation of the size and orientation-dependent mechanical properties of additively manufactured Ti-6Al-4V: The role of microstructure, defects, and surface roughness and its implications for lattice structures
61. Influence of geometric defects on the compression behaviour of thin shell lattices fabricated by micro laser powder bed fusion
62. Energy absorption characteristics of metallic triply periodic minimal surface sheet structures under compressive loading