{"created":"2023-06-26T11:00:01.589301+00:00","id":195,"links":{},"metadata":{"_buckets":{"deposit":"a03270a1-6b3c-455d-bef4-252dda75769a"},"_deposit":{"created_by":27,"id":"195","owners":[27],"pid":{"revision_id":0,"type":"depid","value":"195"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00000195","sets":["6:29"]},"author_link":["624","623","622"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-04-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"195","bibliographicPageStart":"145","bibliographicVolumeNumber":"130","bibliographic_titles":[{},{"bibliographic_title":"Journal of Elasticity","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Chen, Y., Chao"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Fosdick, Roger"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Fried, Eliot"}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"We consider the problem of characterizing the smooth, isometric deformations of a planar material region identified with an open, connected subset D of two-dimensional Euclidean point space E2 into a surface S in three-dimensional Euclidean point space E3. To be isometric, such a deformation must preserve the length of every possible arc of ma- terial points on D. Characterizing the curves of zero principal curvature of S is of major importance. After establishing this characterization, we introduce a special curvilinear co- ordinate system in E2, based upon an à priori chosen pre-image form of the curves of zero principal curvature in D, and use that coordinate system to construct the most general iso- metric deformation of D to a smooth surface S. A necessary and sufficient condition for the deformation to be isometric is noted and alternative representations are given. Expressions for the curvature tensor and potentially nonvanishing principal curvature of S are derived. A general cylindrical deformation is developed and two examples of circular cylindrical and spiral cylindrical form are constructed. A strategy for determining any smooth isometric deformation is outlined and that strategy is employed to determine the general isometric de- formation of a rectangular material strip to a ribbon on a conical surface. Finally, it is shown that the representation established here is equivalent to an alternative previously established by Chen, Fosdick and Fried (J. Elast. 119:335–350, 2015).","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Springer"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1007/s10659-017-9637-2","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_17":{"attribute_name":"Related site","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://link.springer.com/article/10.1007%2Fs10659-017-9637-2","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2017 The Author(s)."}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0374-3535","subitem_source_identifier_type":"ISSN"}]},"item_10001_version_type_20":{"attribute_name":"Author's flag","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-12-28"}],"displaytype":"detail","filename":"s10659-017-9637-2.pdf","filesize":[{"value":"1.6 MB"}],"format":"application/pdf","license_note":"Creative Commons Attribution 4.0 International  \n(http://creativecommons.org/licenses/by/4.0/)\n","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"s10659-017-9637-2","url":"https://oist.repo.nii.ac.jp/record/195/files/s10659-017-9637-2.pdf"},"version_id":"810e35d6-1666-40e2-9ecd-0f46feeea590"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Representation of a Smooth Isometric Deformation of a Planar Material Region into a Curved Surface","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Representation of a Smooth Isometric Deformation of a Planar Material Region into a Curved Surface","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"27","path":["29"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-12-28"},"publish_date":"2017-12-28","publish_status":"0","recid":"195","relation_version_is_last":true,"title":["Representation of a Smooth Isometric Deformation of a Planar Material Region into a Curved Surface"],"weko_creator_id":"27","weko_shared_id":27},"updated":"2023-06-26T12:09:54.169482+00:00"}