{"created":"2023-06-20T15:05:18.087554+00:00","id":34595,"links":{},"metadata":{"_buckets":{"deposit":"9a6dad8e-e173-4806-b110-b4ed71c7c181"},"_deposit":{"created_by":1,"id":"34595","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"34595"},"status":"published"},"_oai":{"id":"oai:jaxa.repo.nii.ac.jp:00034595","sets":["1887:1890","1896:1898:1899:1901"]},"author_link":["419929","419928"],"item_9_alternative_title_1":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"歪履歴塑性理論"}]},"item_9_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1959-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"8","bibliographicPageEnd":"219","bibliographicPageStart":"161","bibliographicVolumeNumber":"25","bibliographic_titles":[{"bibliographic_title":"東京大學航空研究所報告"},{"bibliographic_title":"Report/Aeronautical Research Institute, University of Tokyo","bibliographic_titleLang":"en"}]}]},"item_9_description_16":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"この研究の目的は, 従来塑性力学において慣用されている, 歪増分の概念に本質的な修正を行なうことによって, 塑性力学の理論に内在する矛盾を除去し, 該理論を微小, 有限変形の全領域にわたって完全に矛盾のない論理的体系に拡張かつ改良することである。まず, 一般に弾性論において用いられている, 物体要素の幾何学的形状の変化によって規定される, 歪およびその増分は塑性変形を記述する目的のためには不合理であることが例証される。現在の塑性力学, 更に正確にいえば歪増分理論, は特殊の変形を除いて, このような歪および歪増分を用いている点で本質的な誤りを侵しており, そのための矛盾は変形の増大と共に顕著になる。塑性変形の記述のために合法的な歪および歪増分の概念を導入するために, 著者は塑性変形の本質的性格についての明確な検討を行ない, その結果, 応力と共に, 歪, 歪増分の補足すべき基本条件を誘導した。かかる必然的推理に基づいて, ある変形状態における歪増分はその変形状態が同時に無変形の状態であるように定義される。歪はこのような歪増分を与えられた変形経路に沿って積分することによって得られ, それはその経路に依存し, 変形後の幾何学的形状には直接には依らないことが示される。この歪は対象とする物質の微視的構造変化に対応するものと考えられ, 塑性変形を記述するための歪テンソルとしてのみならず, たとえば異方性のような変形履歴に依存する状態を規定するところの歪履歴テンソルとしても役立つ。更にこの歪は, 単純伸張に対していわゆる対数歪を与えることが示される。したがってそれは履歴依存性一般自然歪と名付けることのできるものである。かくして塑性変形は二重の意味において, すなわち第1に歪それ自身において, 第2に応力・歪関係において, 履歴現象であることが明らかとなる。応力は物質中の単位面積に対して, それに作用する現実の力を与えるようなテンソルとし定義される。この応力は, 特に単純引張りに対しては, いわゆる真応力を与える。歪, 歪増分および応力をこのように定義することによって初めて, 仮想仕事の原理が, 微小, 有限変影の全領域にわたって, 微小変形の場合と全く同じ形式で表現されることが示される。この結果, このような一般の変形に対する平衡方程式, 状態方程式等のすべての関係がまた, 微小変形の場合と同様の形で成立する。このようにして塑性力学, すなわち歪増分理論, はその根本から組換えられ, 極めて自然に微小および有限の一般の変形の場合に拡張される。","subitem_description_type":"Abstract"}]},"item_9_description_17":{"attribute_name":"抄録（英）","attribute_value_mlt":[{"subitem_description":"Frist it is illustrated that the strain, together with its increment, generally used in the theory of elasticity, which is specified by the change in the geometrical confuguratin, is not fitted for the description of plastic deformation. That the existing theory of plasticity, more precisely the incremental strain theory, has recourse to this strain and its increment, except in some special cases of deformation, is its essential inconsistency, which manifest itself more emarkably for the finite deformation. The object of the present investigation is to bring the theory of plasticity into a perfectly logical system covering the whole range of the small and finite deformations, by making some essential innovation on the concepts of strain and strain increment hitherto used. In order to introduce a new concept of strain and its increment legitimate for the description of plastic deformation, we contemplated on the essential characters of plastic deformation, and deduced some fundamental conditions for them, as well as the stress, to satisfy. Basing on this apodictic reasoning, the strain increment at a deformed state is defined such that the deformed current state is at the same time an undeformed state. The strain for a deformed state is obtained as a result of integration of such strain increment along a given deformation path, and is shown to be dependent on the path, but not on the geometrical configuration directly. This strain is fegarded as corresponding to the microstructural change of the material, and serves not only as the strain tensor itseof for describing plastic deformation, but also as the strain history tensor specifying the history dependent state as anisotropy. Further, this strain is seen to be reduced to the so-called logarithmic strain for the special case of simple extension, and accordingly to be history dependent, generalized natural strain. The plastic deformation is thus seen to be a history dependent phenomenon in the duplicated sense, that is, first in the strain itself, and secondly in the stress-strain relationship. The stress tensor is defined such that it gives for unit of area in the deformed state the actual force exerted through it. This stress is reduced to the so-called true stress for the special case of simple tension. By basing on these definitions of strain increment and strain, togegher with that of stress, the principle of virtual work is shown to hold in the same form as for the small deformation over the whole range of small and finite deformations. In consequence of this, all the relations in this eneral case such as the equilibrium equations, the mechanical equations of state and others, are expressed also in the same form as for the small deformation. Thus the theory of plasticity, i.e.the incremental strain theory, being reorganized from the beginning, is extended quite naturally to the general case of small and finite deformations.","subitem_description_type":"Other"}]},"item_9_description_32":{"attribute_name":"資料番号","attribute_value_mlt":[{"subitem_description":"資料番号: SA2404818000","subitem_description_type":"Other"}]},"item_9_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"東京大学航空研究所"}]},"item_9_publisher_9":{"attribute_name":"出版者（英）","attribute_value_mlt":[{"subitem_publisher":"Aeronautical Research Institute, University of Tokyo"}]},"item_9_source_id_21":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0376-1061","subitem_source_identifier_type":"ISSN"}]},"item_9_source_id_24":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00514444","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"吉村, 慶丸"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"YOSHIMURA, Yoshimaru","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-01-24"}],"displaytype":"detail","filename":"SA2404818.pdf","filesize":[{"value":"3.4 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"SA2404818.pdf","url":"https://jaxa.repo.nii.ac.jp/record/34595/files/SA2404818.pdf"},"version_id":"96998531-d02d-4fcf-ba24-a2d0e2cab895"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Theory of Plasticity for Small and Finite Deformations Based on Legitimate Concept of Strain","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Theory of Plasticity for Small and Finite Deformations Based on Legitimate Concept of Strain","subitem_title_language":"en"}]},"item_type_id":"9","owner":"1","path":["1890","1901"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-03-26"},"publish_date":"2015-03-26","publish_status":"0","recid":"34595","relation_version_is_last":true,"title":["Theory of Plasticity for Small and Finite Deformations Based on Legitimate Concept of Strain"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-06-20T23:38:51.313632+00:00"}