{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360298754810247936.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1088/1751-8121/ac4de2"}},{"identifier":{"@type":"URI","@value":"https://iopscience.iop.org/article/10.1088/1751-8121/ac4de2"}},{"identifier":{"@type":"URI","@value":"https://iopscience.iop.org/article/10.1088/1751-8121/ac4de2/pdf"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Reduced theory for hard magnetic rods with dipole–dipole interactions"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>Abstract</jats:title>\n                  <jats:p>\n                    Hard magnetic elastomers are composites of soft elastic foundations and magnetic particles with high coercivity. We formulate a theoretical framework to predict the large deformation of a hard magnetic elastomeric rod. In the previous work, the magnetic Kirchhoff rod equations, which constitute a framework for analyzing instabilities for hard magnetic rods, have been developed and validated experimentally for\n                    <jats:italic>negligible</jats:italic>\n                    dipole–dipole interactions. Building on previous studies, we derive the magnetic Kirchhoff rod equations\n                    <jats:italic>with</jats:italic>\n                    dipole–dipole interactions. The derived equations are integro-differential equations, representing the force and moment balance along the rod centerline that include long-ranged dipole-magnetic force and torque. On the basis of its discrete numerical simulation, we systematically study the effect of the the dipole–dipole interactions strength on the large deformation of hard magnetic rods. In addition, we find that our theory can predict previous experimental results without any adjustable parameters.\n                  </jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380298754810247819","@type":"Researcher","foaf:name":[{"@value":"Tomohiko G Sano"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"17518113"},{"@type":"EISSN","@value":"17518121"}],"prism:publicationName":[{"@value":"Journal of Physics A: Mathematical and Theoretical"}],"dc:publisher":[{"@value":"IOP Publishing"}],"prism:publicationDate":"2022-02-15","prism:volume":"55","prism:number":"10","prism:startingPage":"104002"},"reviewed":"false","dc:rights":["https://publishingsupport.iopscience.iop.org/iop-standard/v1","https://iopscience.iop.org/info/page/text-and-data-mining"],"url":[{"@id":"https://iopscience.iop.org/article/10.1088/1751-8121/ac4de2"},{"@id":"https://iopscience.iop.org/article/10.1088/1751-8121/ac4de2/pdf"}],"createdAt":"2022-01-21","modifiedAt":"2025-11-22","project":[{"@id":"https://cir.nii.ac.jp/crid/1040000782003442944","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"18K13519"},{"@type":"JGN","@value":"JP18K13519"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K13519/"}],"notation":[{"@language":"ja","@value":"不均一な弾性体の力学特性の研究に基づくメカニカルメタマテリアルの設計原理の解明"},{"@language":"en","@value":"Designing principles of mechanical metamaterials based on the studies of heterogeneous elastic 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