WEKO3
アイテム
{"_buckets": {"deposit": "55c7aa4b-9e25-49f6-bf57-7bfc8095e046"}, "_deposit": {"created_by": 30, "id": "2089", "owners": [30], "pid": {"revision_id": 0, "type": "depid", "value": "2089"}, "status": "published"}, "_oai": {"id": "oai:oist.repo.nii.ac.jp:00002089", "sets": ["193"]}, "author_link": ["13509", "13508"], "item_10001_biblio_info_7": {"attribute_name": "Bibliographic Information", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2021-01-05", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "109", "bibliographicPageStart": "85", "bibliographicVolumeNumber": "143", "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": "Spector, Daniel E."}], "nameIdentifiers": [{"nameIdentifier": "13508", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Spector, Scott J."}], "nameIdentifiers": [{"nameIdentifier": "13509", "nameIdentifierScheme": "WEKO"}]}]}, "item_10001_description_5": {"attribute_name": "Abstract", "attribute_value_mlt": [{"subitem_description": "In this manuscript two BMO estimates are obtained, one for Linear Elasticity and one for Nonlinear Elasticity. It is first shown that the BMO-seminorm of the gradient of a vector-valued mapping is bounded above by a constant times the BMO-seminorm of the symmetric part of its gradient, that is, a Korn inequality in BMO. The uniqueness of equilibrium for a finite deformation whose principal stresses are everywhere nonnegative is then considered. It is shown that when the second variation of the energy, when considered as a function of the strain, is uniformly positive definite at such an equilibrium solution, then there is a BMO-neighborhood in strain space where there are no other equilibrium solutions.", "subitem_description_type": "Other"}]}, "item_10001_publisher_8": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_publisher": "Springer Nature"}]}, "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/s10659-020-09805-5", "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/s10659-020-09805-5", "subitem_relation_type_select": "URI"}}]}, "item_10001_rights_15": {"attribute_name": "Rights", "attribute_value_mlt": [{"subitem_rights": "© 2020 The Author(s)."}]}, "item_10001_source_id_9": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0374-3535", "subitem_source_identifier_type": "ISSN"}, {"subitem_source_identifier": "1573-2681", "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": "2021-05-18"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Spector-Spector2021_Article_BMOAndElasticityKornSInequalit.pdf", "filesize": [{"value": "910.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensefree": "Creative Commons Attribution 4.0 International(https://creativecommons.org/licenses/by/4.0/)", "licensetype": "license_free", "mimetype": "application/pdf", "size": 910900.0, "url": {"label": "Spector-Spector2021_Article_BMOAndElasticityKornSInequalit", "url": "https://oist.repo.nii.ac.jp/record/2089/files/Spector-Spector2021_Article_BMOAndElasticityKornSInequalit.pdf"}, "version_id": "8e2fb884-3283-4274-a0e0-674f929ed6f4"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Finite elasticity", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Nonlinear elasticity", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Uniqueness", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Equilibrium solutions", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Korn’s inequality", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Bounded mean oscillation", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "BMO local minimizers", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Small strains", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}]}, "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": "BMO and Elasticity: Korn’s Inequality; Local Uniqueness in Tension", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "BMO and Elasticity: Korn’s Inequality; Local Uniqueness in Tension", "subitem_title_language": "en"}]}, "item_type_id": "10001", "owner": "30", "path": ["193"], "permalink_uri": "https://oist.repo.nii.ac.jp/records/2089", "pubdate": {"attribute_name": "公開日", "attribute_value": "2021-05-18"}, "publish_date": "2021-05-18", "publish_status": "0", "recid": "2089", "relation": {}, "relation_version_is_last": true, "title": ["BMO and Elasticity: Korn’s Inequality; Local Uniqueness in Tension"], "weko_shared_id": 30}
BMO and Elasticity: Korn’s Inequality; Local Uniqueness in Tension
https://oist.repo.nii.ac.jp/records/2089
https://oist.repo.nii.ac.jp/records/20891c80fe69-58de-40ee-b99e-dec9cd0fa72b
名前 / ファイル | ライセンス | アクション |
---|---|---|
Spector-Spector2021_Article_BMOAndElasticityKornSInequalit (910.9 kB)
|
Creative Commons Attribution 4.0 International(https://creativecommons.org/licenses/by/4.0/)
|
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2021-05-18 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | BMO and Elasticity: Korn’s Inequality; Local Uniqueness in Tension | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Finite elasticity | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Nonlinear elasticity | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Uniqueness | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Equilibrium solutions | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Korn’s inequality | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Bounded mean oscillation | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | BMO local minimizers | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Small strains | |||||
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) |
Spector, Daniel E.
× Spector, Daniel E.× Spector, Scott J. |
|||||
書誌情報 |
en : Journal of Elasticity 巻 143, 号 1, p. 85-109, 発行日 2021-01-05 |
|||||
抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | In this manuscript two BMO estimates are obtained, one for Linear Elasticity and one for Nonlinear Elasticity. It is first shown that the BMO-seminorm of the gradient of a vector-valued mapping is bounded above by a constant times the BMO-seminorm of the symmetric part of its gradient, that is, a Korn inequality in BMO. The uniqueness of equilibrium for a finite deformation whose principal stresses are everywhere nonnegative is then considered. It is shown that when the second variation of the energy, when considered as a function of the strain, is uniformly positive definite at such an equilibrium solution, then there is a BMO-neighborhood in strain space where there are no other equilibrium solutions. | |||||
出版者 | ||||||
出版者 | Springer Nature | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0374-3535 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1573-2681 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/s10659-020-09805-5 | |||||
権利 | ||||||
権利情報 | © 2020 The Author(s). | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/s10659-020-09805-5 | |||||
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 |