| Biomimetic Turing machine: A multiscale theoretical framework for the inverse design of target space curves | |
| Li, Jiahao1; Sun, Xiaohao1; He, Zezhou1; Hou, Yuanzhen1; Wu HA(吴恒安)1,2; Zhu, Yinbo1 | |
| Corresponding Author | Wu, Hengan(wuha@ustc.edu.cn) ; Zhu, Yinbo(zhuyinbo@ustc.edu.cn) |
| Source Publication | JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
 |
| 2025-03-01 | |
| Volume | 196Pages:21 |
| ISSN | 0022-5096 |
| Abstract | Morphing ribbons and their inverse design are usually confined to plane curves, since in most cases only the curvature is considered. Given that curvature and torsion are equally important geometric characteristics of space curves, it is urgent to propose a systematic theoretical framework for the inverse design. Toward this end, we here present a multiscale theoretical framework named biomimetic Turing machine (BTM) to achieve desired target space curves, which is inspired from two microstructural regulation mechanisms behind the hydration-driven morphing of plant tissues: the graded curvature regulated by matrix volume fraction (cm) and the helix-like morphology regulated by fibril orientation angle (FOA). By analogizing to Turing machine encoded by binary mapping, the proposed BTM can inversely encode a morphing ribbon with preset microstructural parameters (FOA and cm) to achieve desired target space curves. The proposed theoretical framework can first bridge the microstructural fiber-matrix swelling and the macroscopic ribbon morphing as a forward problem, in which a twist field is subsequently introduced to create the kinematic map between the target space curve and the ribbon, innovatively posing the inverse design as an initial value problem. To facilitate the experimental implementation of BTM, we further propose an optimization strategy for selecting the twist field and provide design criteria as guidelines for experiments. As a conceptual display, we present a phase diagram in the cm versus FOA plane to illustrate the complex target morphologies (e.g., hemisphere, hyperboloid, and tendril) characterized by various parameters of curvature and torsion designed rationally by the BTM theory, while in previous studies the morphing morphologies (e.g., helices, arcs, and helicoid ribbons) exhibit only constant curvature or torsion. This work presents a novel inverse design strategy for space curves with both curvature and torsion, broadening the potential for the design and fabrication of morphing materials. |
| Keyword | Morphing materials Space curves Programmable ribbon Inverse design Microstructure encoding |
| DOI | 10.1016/j.jmps.2024.105999 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001389525300001 |
| WOS Research Area | Materials Science ; Mechanics ; Physics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter |
| Funding Project | Youth Innovation Promotion Association CAS[2022465] ; National Natural Science Foundation of China[12232016] ; National Natural Science Foundation of China[12172346] ; National Natural Science Foundation of China[12202431] ; Natural Science Foundation of Anhui Province[2208085QA24] ; Postdoctoral Fellowship Program of CPSF[GZB20240712] ; China Postdoctoral Science Foundation[2024M763149] ; USTC Tang Scholar |
| Funding Organization | Youth Innovation Promotion Association CAS ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Postdoctoral Fellowship Program of CPSF ; China Postdoctoral Science Foundation ; USTC Tang Scholar |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Wu, Hengan，Zhu, Yinbo |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/98069 |
| Collection | 超常环境非线性力学全国重点实验室 |
| Affiliation | 1.Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab Mech Behav & Design Mat, Hefei 230027, Peoples R China; 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, 15 Beisihuan West Rd, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Jiahao,Sun, Xiaohao,He, Zezhou,et al. Biomimetic Turing machine: A multiscale theoretical framework for the inverse design of target space curves[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2025,196:21. |
| APA | Li, Jiahao,Sun, Xiaohao,He, Zezhou,Hou, Yuanzhen,吴恒安,&Zhu, Yinbo.(2025).Biomimetic Turing machine: A multiscale theoretical framework for the inverse design of target space curves.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,196,21. |
| MLA | Li, Jiahao,et al."Biomimetic Turing machine: A multiscale theoretical framework for the inverse design of target space curves".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 196(2025):21. |
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