WEKO3
アイテム
{"_buckets": {"deposit": "585adaba-3b50-4249-8237-9a1cb9f55e1b"}, "_deposit": {"created_by": 28, "id": "1428", "owners": [28], "pid": {"revision_id": 0, "type": "depid", "value": "1428"}, "status": "published"}, "_oai": {"id": "oai:oist.repo.nii.ac.jp:00001428", "sets": ["29"]}, "author_link": ["8672", "8671", "8670"], "item_10001_biblio_info_7": {"attribute_name": "Bibliographic Information", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2019-10-24", "bibliographicIssueDateType": "Issued"}, "bibliographicPageStart": "103771", "bibliographicVolumeNumber": "134", "bibliographic_titles": [{}, {"bibliographic_title": "Journal of the Mechanics and Physics of Solids", "bibliographic_titleLang": "en"}]}]}, "item_10001_creator_3": {"attribute_name": "Author", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Chaurasia, Vikash"}], "nameIdentifiers": [{"nameIdentifier": "8670", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Chen, Yi-Chao"}], "nameIdentifiers": [{"nameIdentifier": "8671", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Fried, Eliot"}], "nameIdentifiers": [{"nameIdentifier": "8672", "nameIdentifierScheme": "WEKO"}]}]}, "item_10001_description_5": {"attribute_name": "Abstract", "attribute_value_mlt": [{"subitem_description": "A variational approach is used to study the behavior of two closed, inextensible, interacting elastic loops that are constrained to lie on a sphere. In addition to the bending energy of each loop, the total potential energy of the system includes nonlocal contributions that account for intraloop and interloop interactions. Euler–Lagrange equations and energy based stability conditions are derived using the first and second variations of the potential energy functional. As an illustrative application, a problem in which all the interaction potentials are Coulombic and both loops have the same length, bending rigidity, and positive charge density is considered. To ensure the existence of a trivial solution in which the loops are parallel and circular, the length of the loops are taken to be smaller than perimeter of the great circle of the sphere. Detailed bifurcation and linear stability analyses of the trivial solution are conducted. The stability of the trivial solution is governed by three dimensionless parameters a, ζ, and χ, where a is the ratio between of the radius of the loops to radius of the sphere and where ζ and χ encompass information about the ratio of intraloop interaction and interloop interaction to the bending rigidity. While the bending energy and the intraloop interaction energy stabilize the trivial solution, the interloop interaction has a destabilizing influence. Moreover, a cross-over phenomenon associated with the nature of the most destabilizing mode is discovered: for 0 \u003c a \u003c ac, the number of modes represented in the most destabilizing modes varies with ζ and χ; for ac \u003c a \u003c 1, the most destabilizing mode is always the lowest mode in keeping with results for problems involving only bending energy.", "subitem_description_type": "Other"}]}, "item_10001_publisher_8": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_publisher": "Elsevier Ltd"}]}, "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/10.1016/j.jmps.2019.103771", "subitem_relation_type_select": "DOI"}}]}, "item_10001_relation_16": {"attribute_name": "情報源", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "https://creativecommons.org/licenses/by-nc-nd/4.0/"}]}]}, "item_10001_relation_17": {"attribute_name": "Related site", "attribute_value_mlt": [{"subitem_relation_type_id": {"subitem_relation_type_id_text": "https://www.sciencedirect.com/science/article/pii/S0022509619305411", "subitem_relation_type_select": "URI"}}]}, "item_10001_rights_15": {"attribute_name": "Rights", "attribute_value_mlt": [{"subitem_rights": "© 2019 The Author(s)."}]}, "item_10001_source_id_9": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0022-5096", "subitem_source_identifier_type": "ISSN"}]}, "item_10001_version_type_20": {"attribute_name": "Author\u0027s 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": "2020-04-30"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Chaurasia-2020-Interacting charged elastic loo.pdf", "filesize": [{"value": "3.6 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensefree": "Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (https://creativecommons.org/licenses/by-nc-nd/4.0/)", "licensetype": "license_free", "mimetype": "application/pdf", "size": 3600000.0, "url": {"label": "Chaurasia-2020-Interacting charged elastic loo", "url": "https://oist.repo.nii.ac.jp/record/1428/files/Chaurasia-2020-Interacting charged elastic loo.pdf"}, "version_id": "71207a5a-712b-4f80-81a8-15421c241139"}]}, "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": "Interacting charged elastic loops on a sphere", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Interacting charged elastic loops on a sphere", "subitem_title_language": "en"}]}, "item_type_id": "10001", "owner": "28", "path": ["29"], "permalink_uri": "https://oist.repo.nii.ac.jp/records/1428", "pubdate": {"attribute_name": "公開日", "attribute_value": "2020-04-30"}, "publish_date": "2020-04-30", "publish_status": "0", "recid": "1428", "relation": {}, "relation_version_is_last": true, "title": ["Interacting charged elastic loops on a sphere"], "weko_shared_id": 28}
Interacting charged elastic loops on a sphere
https://oist.repo.nii.ac.jp/records/1428
https://oist.repo.nii.ac.jp/records/14281a7578ef-2866-4a1b-892e-c577f848e8b1
名前 / ファイル | ライセンス | アクション |
---|---|---|
Chaurasia-2020-Interacting charged elastic loo (3.6 MB)
|
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (https://creativecommons.org/licenses/by-nc-nd/4.0/)
|
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2020-04-30 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Interacting charged elastic loops on a sphere | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Chaurasia, Vikash
× Chaurasia, Vikash× Chen, Yi-Chao× Fried, Eliot |
|||||
書誌情報 |
en : Journal of the Mechanics and Physics of Solids 巻 134, p. 103771, 発行日 2019-10-24 |
|||||
抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | A variational approach is used to study the behavior of two closed, inextensible, interacting elastic loops that are constrained to lie on a sphere. In addition to the bending energy of each loop, the total potential energy of the system includes nonlocal contributions that account for intraloop and interloop interactions. Euler–Lagrange equations and energy based stability conditions are derived using the first and second variations of the potential energy functional. As an illustrative application, a problem in which all the interaction potentials are Coulombic and both loops have the same length, bending rigidity, and positive charge density is considered. To ensure the existence of a trivial solution in which the loops are parallel and circular, the length of the loops are taken to be smaller than perimeter of the great circle of the sphere. Detailed bifurcation and linear stability analyses of the trivial solution are conducted. The stability of the trivial solution is governed by three dimensionless parameters a, ζ, and χ, where a is the ratio between of the radius of the loops to radius of the sphere and where ζ and χ encompass information about the ratio of intraloop interaction and interloop interaction to the bending rigidity. While the bending energy and the intraloop interaction energy stabilize the trivial solution, the interloop interaction has a destabilizing influence. Moreover, a cross-over phenomenon associated with the nature of the most destabilizing mode is discovered: for 0 < a < ac, the number of modes represented in the most destabilizing modes varies with ζ and χ; for ac < a < 1, the most destabilizing mode is always the lowest mode in keeping with results for problems involving only bending energy. | |||||
出版者 | ||||||
出版者 | Elsevier Ltd | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-5096 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1016/j.jmps.2019.103771 | |||||
権利 | ||||||
権利情報 | © 2019 The Author(s). | |||||
情報源 | ||||||
関連名称 | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.sciencedirect.com/science/article/pii/S0022509619305411 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |