Team Members: Sina Rastegar (Lead), Mohammad Abu-Mualla, Xinnian Wang, Muhammad Areeb, Jida Huang, Jun Wang
Supervisor: Jida Huang
Developed a Multi-Scale Structure Optimization Framework
Bio-Inspired Architected Materials
Cluster-Based Topology Optimization
Spatial Gradation Scheme for Geometry Frustration
Enhanced Mechanical Performance
Application in Biomedical and Filtration Systems
STL-Free, Computationally Efficient Manufacturing Process
Future Directions for Smart Materials
Figure: 3D-printed jet engine bracket designed using multi-scale topology optimization.
Multi-Scale Topology Optimization
Computational Mechanics & Simulation
Implicit Function-Based Representation (FRep)
Finite Element Analysis (FEA)
Additive Manufacturing & 3D Printing
Mathematical Modeling & Algorithm Development
CAD & High-Resolution Geometry Processing
Problem-Solving & Innovation
Interdisciplinary Collaboration
Analytical Thinking
Adaptability & Continuous Learning
Technical Communication
This project developed a holistic design-through-printing framework with implicitly represented cellular materialsfor high-resolution structured materials design and manufacturing. While bio-inspired structured materials have achieved unprecedented progress in realizing exceptional, effective properties, a rational design paradigm that enables both tailoring complex three-dimensional architectures and manufacturing engineered hierarchical structured materials was still missing.
To bridge this gap, the framework utilizes a parameterized implicit function-based representation (FRep), allowing effective control over the material's microstructures to tune properties (e.g., isotropic, orthotropic, and anisotropic) while enabling functional gradation in the multi-scale hierarchical design. Given prescribed material properties in different applications, the framework finds the optimal layout of microstructures using an adaptive cluster-based topology optimization algorithm.
The geometry frustration problem caused by the mixture of distinct microstructures is simultaneously addressed through a spatial gradation scheme within the optimization loop. Lastly, the FRep-based architected material enables efficient geometry processing (e.g., slicing) for modern AM processes, thus facilitating the manufacturing of high-resolution, delicately designed materials. The proposed framework is scalable and adaptable, making it suitable for a broad spectrum of design demands across various applications.
Figure: Developed multi-scale optimization framework with implicitly represented cellular materials for high-resolution structured materials design and manufacturing
Figure: Achieving a broad spectrum of property space by mixing multi-type cellular materials and addressing the geometry frustration caused by the interfaces of distinct materials to achieve a design similar to natural materials. Microstructure of sample natural materials like a) human bone, b) natural wood, and c) deep-sea glass sponges, all exhibit a geometry frustration-free transition between different fragments of the material. d) a visual guide to the terminology used in this paper.
The multi-type cellular material design is widely cursed by a geometrical frustration—i.e., we can easily lose the connectivity between adjacent types of cellular solids due to the incompatible geometries at their interfaces. To address this, we propose a spatial gradation scheme in which the volume of the cellular solids is designed based on the level-set values of their governing functions, and their topology and relative density can be smoothly and continuously changed by varying the shape parameters. To solve the connectivity frustration between diverse types of cellular solids with different porosity at the microscale level, we have employed a weighting function to enable a smooth transition from one to another.
To demonstrate the efficacy of the proposed framework, we apply it to a design problem of jet engine bracket from General Electric (GE). The design domain and boundary conditions are defined as shown in this Figure. The bracket design is formulated as an optimization problem to minimize the compliance of the entire structure subjected to a volume constraint of νf ≤ 0.09. The density of each microstructure is relaxed to vary in the full admissible range (0.3 ≤ ρe ≤ 0.8).
Figure: GE engine bracket design. a) isometric, top, and side view of engine bracket problem design domain with load and fixed support positions. b) the optimized design for the GE engine bracket, limiting the number of architected material clusters to two, F2 and F5; with a full range of relative density (0.3 ≤ ρ ≤ 0.8). c) fabricated structure using m-SLA printer and SVG files generated by STL-free slicing method presented in this work.
Figure: Patient-specific bone implant design. a) isometric, top, and side view of bone implant design domain with static load, contact supports, and fixed support positions. b) comparing the SIMP-based design with multi-scale design without no-void constraint. c) the optimized design for the bone implant, limiting the number of architected material clusters to two, F2 and F5; with architected material relative density limited to (ρl = 0.4, ∀l ∈ Ω). d) the optimized design for the bone implant, limiting the number of architected material clusters to two, F2 and F5; with the full range of relative density (0.3 ≤ ρ ≤ 0.8).
The second case study is a patient-specific femur bone implant.The design problem (including design domain and boundary conditions) is defined as illustrated in this Figure. The design domain is patient-specific, and the contact supports are defined to simultaneously minimize the risks of load-induced interface fracture and surrounding bone tissue resorption due to improper load transmission. The objective is to minimize the average magnitude of normal loads at the contact supports and reduce the design volume at least by 60% (i.e., vf ≤ 0.40).