{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,14]],"date-time":"2026-10-14T02:51:32Z","timestamp":1791946292310,"version":"4.3.4"},"reference-count":54,"publisher":"Wiley","issue":"50","license":[{"start":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T00:00:00Z","timestamp":1784851200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T00:00:00Z","timestamp":1784851200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52505248"],"award-info":[{"award-number":["52505248"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["ZYGX2024XJ015"],"award-info":[{"award-number":["ZYGX2024XJ015"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Small"],"published-print":{"date-parts":[[2026,9]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Programmable metamaterials that exhibit prescribed mechanical responses and adaptive deformation under external loading are highly desirable for multifunctional engineering applications. However, most existing designs rely on multi\u2010material systems, which pose significant fabrication challenges with conventional additive manufacturing. Inspired by the unique soft\u2010hard heterogeneous architecture of nacre, this study introduces a novel class of dual\u2010phase (DP) metamaterials where spatially encoded soft and hard phases are realized through bending\u2010dominated and stretching\u2010dominated lattice architectures, respectively. By systematically varying the spatial coding patterns of soft\u2010hard phases, representative DP metamaterials are shown to exhibit programmable nonlinear mechanical responses and tailored failure processes, achieved through geometry\u2010based mechanical encoding governed by phase interactions and internal stress redistribution. Notably, the engineered sequenced failure processes and phase\u2010coupling\u2010induced strengthening effects lead to significantly enhanced energy absorption compared with the constituent architectures, while enabling customizable plateau stress. To efficiently explore the vast design space of DP metamaterials, a data\u2010driven framework is then developed to model the relationship between spatial encodings and nonlinear mechanical responses. The trained model enables rapid and accurate inverse design of DP metamaterials matching the complex target responses for multifunctional applications. Overall, this work establishes a new geometry\u2010based strategy for achieving highly programmable mechanical responses in single\u2010material metamaterials.<\/jats:p>","DOI":"10.1002\/smll.74687","type":"journal-article","created":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T10:18:41Z","timestamp":1784888321000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Geometry\u2010Encoded Programmable Mechanics in Single\u2010Material Dual\u2010Phase Metamaterials"],"prefix":"10.1002","volume":"22","author":[{"given":"Miao","family":"Zhao","sequence":"first","affiliation":[{"name":"School of Mechanical and Electrical Engineering University of Electronic Science and Technology of China  Sichuan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Na","family":"Qiu","sequence":"additional","affiliation":[{"name":"School of Aerospace Mechanical and Mechatronic Engineering The University of Sydney  Sydney New South Wales Australia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xuhui","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering University of Electronic Science and Technology of China  Sichuan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2486-6776","authenticated-orcid":false,"given":"Bei","family":"Peng","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering University of Electronic Science and Technology of China  Sichuan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhi","family":"Zeng","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering University of Electronic Science and Technology of China  Sichuan 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