Abstract
Mechanically guided three-dimensional (3D) assembly based on the controlled buckling of pre-designed 2D thin-film precursors provides deterministic routes to complex 3D mesostructures in diverse functional materials, with access to a broad range of material types and length scales. Existing mechanics studies on this topic mainly focus on the forward problem that aims at predicting the configurations of assembled 3D structures, especially ribbon-shaped structures, given the configuration of initial 2D precursor and loading magnitude. The inverse design problem that maps the target 3D structure onto an unknown 2D precursor in the context of a prescribed loading method is essential for practical applications, but remains a challenge. This paper proposes a systematic optimization method to solve the inverse design of ribbon-type 3D geometries assembled through the buckling-guided approach. In addition to the torsional angle of the cross section, this method introduces the non-uniform width distribution of the initial ribbon structure and the loading mode as additional design variables, which can significantly enhance the optimization accuracy for reproducing the desired 3D centroid line of the target ribbon. Extension of this method allows the inverse design of entire 3D ribbon configurations with specific geometries, taking into account both the centroid line and the torsion for the cross section. Computational and experimental studies over a variety of elaborate examples, encompassing both the single-ribbon and ribbon-framework structures, demonstrate the effectiveness and applicability of the developed method.
Original language | English (US) |
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Article number | 4045367 |
Journal | Journal of Applied Mechanics, Transactions ASME |
Volume | 87 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1 2020 |
Funding
Y.Z. acknowledges the support from the National Natural Science Foundation of China (NNSFC) (Grant Nos. 11672152 and 11722217; Funder ID: 10.13039/501100001809), the Tsinghua University Initiative Scientific Research Program (Grant No. 2019Z08QCX10; Funder ID: 10.13039/501100004147), the Tsinghua National Laboratory for Information Science and Technology (Funder ID: 10.13039/501100004407), and the State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology (Grant No. DMETKF2019005; Funder ID: 10.13039/501100003397). Y.Z. acknowledges the support from the National Natural Science Foundation of China (NNSFC) (Grant Nos. 11672152 and 11722217; Funder ID: 10.13039/501100001809), the Tsinghua University Initiative Scientific Research Program (Grant No. 2019Z08QCX10; Funder ID: 10.13039/501100004147), the Tsin-ghua National Laboratory for Information Science and Technology (Funder ID: 10.13039/501100004407), and the State Key Laboratory of Digital Manufacturing Equipment and Technology, Huaz-hong University of Science and Technology (Grant No. DMETKF2019005; Funder ID: 10.13039/501100003397).
Keywords
- 3D assembly
- Computational mechanics
- Controlled buckling
- Inverse design
- Optimization method
- Structures
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering