About this Abstract |
Meeting |
2025 Annual International Solid Freeform Fabrication Symposium (SFF Symp 2025)
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Symposium
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2025 Annual International Solid Freeform Fabrication Symposium (SFF Symp 2025)
|
Presentation Title |
Shape Optimization and Sensitivity Analysis for Triply Periodic Minimal Surface Lattice Structures Under Periodic Boundary Conditions |
Author(s) |
Chongyi Wei, Douglas E Smith |
On-Site Speaker (Planned) |
Chongyi Wei |
Abstract Scope |
Lattice structures have drawn increased attention due to the advance of additive manufacturing making it possible to fabricate these geometrically complex periodic structures. The widely-adopted Triply Periodic Minimal Surface (TPMS) lattice are formed from predefined level set functions having a single tunable parameter that defines the lattice geometry but lacks design flexibility. This paper develops a radial basis function-based shape optimization technique to modify the shape of TPMS lattice for improved structural performance. The finite element-based shape sensitivity analysis used in the optimization is derived by both direct differentiation and adjoint variable methods where special attention is given to periodic boundary conditions in the formulation that updates the nodal locations while preserving the advantages of smooth varying surface and cubic symmetry properties of TPMS. Scaffold or sheet TPMS lattice Representative Volume Element (RVE) are optimized to for minimal strain energy and minimum anisotropy under von Mises stress and volume constraints. |
Proceedings Inclusion? |
Planned: Post-meeting proceedings |