Theory of Thermo-polar Materials and Application to Actual Structures

热极性材料理论及其在实际结构中的应用

• 批准号: 15560079
• 负责人: TAKAHASHI Kunihiro
• 金额: $ 2.3万
• 依托单位: Keio University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2005
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15560079/
• 关键词: mechanical materials; mechanics of materials; architectural structures; materials; polar materials; micro-mode; thin-walled structures; マイクロモードマテリアル; モードアーム; バイモーメント; 熱バイモーメント; 場の方程式; 熱伝導; 熱的はり理論; 熱モーメント; St.Venantの原理

Materials with microscopic internal structures are receiving much research attention due to their potentially superior overall properties. The formulation of such materials begins with an analysis of the response of individual internal structures. The difference between the micro-mode materials and the ordinary micro-polar materials exists in the introduction of an intermediate material point that is called a meso-domain. In the meso-domain introduced in this study is constructed by the finite number mesoscopic elements. These elements can represent a finite number of folded plates of thin-walled beams or constituents of optical fibers. The concept of bimoment is the typical mechanical quantities introduced by the present theory.The mechanical theory of micro-mode materials can be extended to the thermo-mechanical theory of materials. The theory of thermo-mechanical materials is introduced by the author and is extended in the present study. Thermo-mechanical mode-vectors that are the principal geometrical quantities of micro-mode materials are newly defined.Constitutive equations of the micro-mode materials are also discussed by the entropy inequality using Green method. Field equations are obtained and the analytical solutions are compared with the results of numerical solutions. These results correspond well and show the validity of the present theory.

具有微观内部结构的材料因其潜在的优异的综合性能而受到人们的广泛关注。这种材料的配制从分析单个内部结构的响应开始。微模材料与普通微极性材料的不同之处在于引入了一个中间材料点，称为介观区域。在本研究中引入的介观单元是由有限个的介观单元构成的。这些元件可以表示有限数量的薄壁光束折叠板或光纤成分。二阶矩的概念是本理论引入的典型力学量，微模材料的力学理论可以推广到材料的热力学理论。作者介绍了热力材料理论，并在本研究中作了推广。重新定义了微模材料的主要几何量--热力模矢，并用格林方法用熵不等式讨论了微模材料的本构方程。得到了场方程，并将解析解与数值解的结果进行了比较。这些结果符合得很好，说明了本文理论的有效性。

项目成果

荷重経路U^*解析における複雑な境界条件の考慮

载荷路径 U^* 分析中复杂边界条件的考虑

• 发表时间: 2006
• 期刊: 自動車技術会春季学術講演会前刷集 (掲載決定)
• 作者: 伊賀崎賢哉二世

マイクロモードマテリアルの概念に基づく薄肉開き断面部材のそり拘束ねじり理論

基于微模材料概念的薄壁开口截面构件翘曲约束扭转理论

• 发表时间: 2005
• 期刊: 第54回理論応用力学講演会前刷集 1 G08
• 作者: 平山隆之;田口隆敏;水内崇夫;高橋邦弘
• 通讯作者: 高橋邦弘

Theory of Micro-Mode Materials and Balance Equations of Thin-Walled Open Section Members

微模材料理论与薄壁开孔构件的平衡方程

• 发表时间: 2005
• 期刊: 54^<th> Nat.Cong.of Theoretical & Applied Mechanics
• 作者: T.Hirayama;T.Taguchi;T.Muzuuchi;K.Takahashi
• 通讯作者: K.Takahashi

Atomistic Foundation of Solid Mechanics and Thermomechanics

固体力学和热力学的原子基础

• 发表时间: 2003
• 期刊: European Solid Mechanics Conference 5_th ESMC
• 作者: K.Takahashi;Y.Yasui;M.Nakane
• 通讯作者: M.Nakane

K.Takahashi, Y.Yasui, M.Nakane: "Altomistic Foundation of Solid Mechanics and Thermomechanics"European Solid Mechanics Conference (5th ESMC), Thessaloniki. 5th. 264 (2003)

K.Takahashi、Y.Yasui、M.Nakane：“固体力学和热力学的原子论基础”欧洲固体力学会议（第五届 ESMC），塞萨洛尼基。