Multiscale Buckling Modes in the Mechanics of Fiber-Reinforced Plastics
暫譯: 纖維增強塑料力學中的多尺度屈曲模式
Paimushin, Vitaly, Chate, Andris K., Kholmogorov, Sergey
- 出版商: Springer
- 出版日期: 2025-01-29
- 售價: $5,810
- 貴賓價: 9.5 折 $5,520
- 語言: 英文
- 頁數: 164
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031482182
- ISBN-13: 9783031482182
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商品描述
This book is a useful source of knowledge for engineers and scientists in the field of mechanics of deformation and destruction of composite materials.
In Chapter 1 three-dimensional equations of elasticity theory composed for the case of finite displacements and deformations of solids have been analyzed. It is found that the generally accepted simplifications known in the literature and carried out for the case of small deformations result in equations that are considered to be absolutely correct and consistent in all scientific and educational literature on mechanics of deformable solid bodies. However, this conclusion is not sufficiently well-founded as confirmed by formulation and solution of problems on the basis of generally accepted equations for determining both the stress-strain state (SSS) and the critical loads and buckling modes. In Chapter 2 the theoretical and experimental methods for determining the mechanical characteristics of fiber-reinforced plastics (FRPs) based on tensile and compression tests of flat specimens with [0]s, [ 90]s, and [ 45]2s lay-ups are analyzed. For FRPs with [ 45]2s lay-ups, relations are derived for determining the components of lamina strains and stresses in the orthotropy axes of FRP monolayer in terms of axial strains and Poisson ratios of specimens measured in experiments. In Chapter 3 the structure of a unidirectional fibre composite of two types ELUR-P carbon fibre based on KhT-118 cold-curing binder and HSE 180 REM prepreg based on hot-curing binder has been studied. The diameters of fibres and fibre bundles (filaments) of both types of composites have been measured. Based on the results of the analysis of the composite material structure, a refined formulation of the linearised problems of a refined statement of linearized problems on flat internal multiscale buckling modes of a rigid lamina with either fibers or a fiber bundle is presented taking into account their interaction with an epoxy matrix. In Chapter 4 for shells of a layered structure based on the Timoshenko's model, taking into account the transverse compression used for each layer, two versions of two-dimensional equations are constructed that describe geometrically nonlinear deformation with arbitrary displacements and small deformations. The formulation of a linear problem on the initial (subcritical) stress-strain state of a test specimen from a unidirectional fibrous composite with the [900]s structure during tension-compression tests with shear is given. A numerical method for solving the formulated problem is developed, which is based on the reduction of the original problem to a system of integro-algebraic equations and the search for their numerical solution by the finite sum method. In Chapter 5 conclusions were done and directions for further research have been identified.
商品描述(中文翻譯)
這本書是針對從事複合材料變形與破壞力學領域的工程師和科學家的一個有用知識來源。
在第一章中，分析了針對固體有限位移和變形情況所組成的三維彈性理論方程。發現文獻中普遍接受的簡化，針對小變形的情況進行的簡化，導致的方程被認為在所有科學和教育文獻中都是絕對正確且一致的，這些文獻涉及可變形固體的力學。然而，這一結論並不充分，這一點通過基於普遍接受的方程來確定應力-應變狀態（SSS）以及臨界載荷和屈曲模式的問題的表述和解決得到了證實。在第二章中，分析了基於平面試件的拉伸和壓縮測試來確定纖維增強塑料（FRPs）機械特性的理論和實驗方法，這些試件的鋪層為 [0]s、[90]s 和 [45]2s。對於鋪層為 [45]2s 的 FRPs，推導了在 FRP 單層的正交各向異性軸中，根據實驗中測量的軸向應變和泊松比來確定層應變和應力分量的關係。在第三章中，研究了基於 KhT-118 冷固化粘合劑的 ELUR-P 碳纖維和基於熱固化粘合劑的 HSE 180 REM 預浸料的兩種類型的單向纖維複合材料的結構。測量了這兩種類型複合材料的纖維和纖維束（絲）的直徑。根據對複合材料結構分析的結果，提出了一個精煉的線性化問題的表述，該表述針對具有纖維或纖維束的剛性層的平面內多尺度屈曲模式，考慮了它們與環氧樹脂基體的相互作用。在第四章中，針對基於 Timoshenko 模型的層狀結構的殼體，考慮到每層的橫向壓縮，構建了兩個版本的二維方程，這些方程描述了具有任意位移和小變形的幾何非線性變形。給出了來自單向纖維複合材料的測試試件在拉伸-壓縮剪切測試過程中，初始（次臨界）應力-應變狀態的線性問題的表述。開發了一種解決所表述問題的數值方法，該方法基於將原始問題簡化為一組積分代數方程，並通過有限和方法尋找其數值解。在第五章中，得出了結論並確定了進一步研究的方向。
作者簡介
Vitaly Paimushin
EDUCATION
1981 Doctor in Physics and Mathematics.
WORK POSITIONS
1980 - 2013 Head of Strength of Materials Department, Kazan National Research Technical University named after A.N. Tupolev, Kazan, Russia. Have been prepared lecture notes on courses "Strength of materials" and "Mechanics of structures and materials". Have been teaching several courses such as strength of materials, mechanics of structures and materials, solid mechanics from 1980 to the present time.
1981-Now Supervisor of Ph.D. students since 1975 and doctorate candidates since 1980 (supervised totally 37 Ph.D. and 9 D.Sc. up to now)
1985-2013 Professor at Department of Strength of Materials, Kazan National Research Technical University named after A.N. Tupolev, Kazan, Russia.
2013 - Now Professor at Department of Structural Strength, Kazan National Research Technical University named after A.N. Tupolev, Kazan, Russia
Academic distinctions
1. Honored scientist of Tatarstan Republic (1992 year)
2. Honored scientist of Russian Federation (2001 year)
3. State Prize of the Republic of Tatarstan in the field of science and technology (2004 year)
4. Tatarstan academy of science award named after H. Mushtari (1995 year)
5. Member of the National Committee on Theoretical and Applied Mechanics
6. Member of the editorial board of the journal "Russian Aeronautics»
7. Member of the editorial board of the journal "Proceedings of the higher educational institutions, Mathematics.",
8. Member of the editorial board of the journal "Mechanics of Composite Materials"
9. Academician of the Academy of Sciences of the Republic of Tatarstan,
10. Academician of Russian Aviation and aeronautics.
Andris Chate
EDUCATION
1992 Doctor of Engineering Science (Dr.sc.ing.) in Mechanics of Deformable Solids, Riga Technical University (RTU), Latvia
1981 PhD in Materials Science and Engineering, Institute of Polymer Mechanics, Latvian Academy of Science, Latvia
WORK POSITIONS
2009 - Now Leading Researcher, Riga Technical University, Institute of Materials and Structures, Faculty of Civil Engineering (FCI), RTU, Latvia
2009 - Now Head of Institute of Materials and Structures, FCI, RTU, Latvia
2003 - Now Professor at Department of Composite Materials and Structures, FCI, RTU, Latvia
2003 - 2019 Head of Department of Composite Materials and Structures, FCI, RTU, Latvia
1984 - Now More than 30 fellowships (visiting researcher, mobility grants; each fellowship with duration 1 - 3 - 6 months): - University of Kassel, Germany; University of Wales, Swansea, UK; Royal Institute of Technology, Sweden.
Sergey Kholmogorov
EDUCATION
2008 - Engineering Diploma in Aircraft and Helicopter field, Kazan National Research Technical University named after A.N. Tupolev, Kazan, Russia
2015 PhD in Physics and Mathematics, Kazan Federal University, Kazan, Russia.
2015-2018 Assistant of Department of Structural Strength, Kazan National Research Technical University named after A.N. Tupolev
2018-Now Associate professor of Department of Structural Strength, Kazan National Research Technical University named after A.N. Tupolev
Makarov Maksim
EDUCATION
2014 Master Degree in Mathematics, Institute of Computer Mathematics and Information Technologies, Kazan Federal University, Kazan, Russia.
2018 Internship, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
2019 PhD in Physics and Mathematics, Kazan Federal University, Kazan, Russia.
WORK POSITIONS
2023-Now Senior researcher, Kazan Federal (Volga Region) University, Kazan, Russia
2023-Now Associate Professor, Kazan Federal (Volga Region) University, Kazan, Russia
Ruslan Gazizullin
Education
2010 Master Degree in Aircraft and Helicopter field, Kazan National Research Technical University named after A.N. Tupolev, Kazan, Russia
2017 PhD in Physics and Mathematics, Kazan Federal University, Kazan, Russia.
WORK POSITIONS
2015-2023 Senior teacher, Kazan National Research Technical University named after A.N. Tupolev
2023-Now Associate professor of Department of Structural Strength, Kazan National Research Technical University named after A.N. Tupolev
作者簡介(中文翻譯)
維塔利·帕伊穆辛
教育背景
1981年 物理與數學博士。
工作職位
1980 - 2013年 俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）材料力學系主任。準備了《材料力學》和《結構與材料力學》課程的講義。自1980年至今教授多門課程，包括材料力學、結構與材料力學、固體力學。
1981年至今 自1975年起擔任博士生導師，自1980年起擔任博士候選人導師（至今共指導37名博士生和9名科學博士）。
1985 - 2013年 俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）材料力學系教授。
2013年至今 俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）結構強度系教授。
學術榮譽
1. 塔塔爾斯坦共和國榮譽科學家（1992年）
2. 俄羅斯聯邦榮譽科學家（2001年）
3. 塔塔爾斯坦共和國科學與技術領域國家獎（2004年）
4. 塔塔爾斯坦科學院H.穆什塔里獎（1995年）
5. 理論與應用力學國家委員會成員
6. 《俄羅斯航空學》期刊編輯委員會成員
7. 《高等教育機構數學學報》編輯委員會成員
8. 《複合材料力學》期刊編輯委員會成員
9. 塔塔爾斯坦共和國科學院院士
10. 俄羅斯航空與航空學院士。
安德里斯·查特
教育背景
1992年 工程科學博士（Dr.sc.ing.），拉脫維亞里加技術大學（RTU）可變形固體力學專業
1981年 材料科學與工程博士，拉脫維亞科學院聚合物力學研究所。
工作職位
2009年至今 拉脫維亞里加技術大學土木工程學院（FCI）材料與結構研究所首席研究員。
2009年至今 FCI材料與結構研究所所長。
2003年至今 FCI複合材料與結構系教授。
2003 - 2019年 FCI複合材料與結構系主任。
1984年至今 超過30個獎學金（訪問研究員、流動資助；每個獎學金持續1 - 3 - 6個月）：德國卡塞爾大學；英國斯旺西威爾士大學；瑞典皇家理工學院。
謝爾蓋·霍爾莫戈羅夫
教育背景
2008年 航空器與直升機工程文憑，俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）。
2015年 物理與數學博士，俄羅斯喀山聯邦大學。
2015-2018年 俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）結構強度系助理教授。
2018年至今 俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）結構強度系副教授。
馬卡羅夫·馬克西姆
教育背景
2014年 數學碩士，俄羅斯喀山聯邦大學計算數學與信息技術研究所。
2018年 實習，德國卡爾斯魯厄理工學院（KIT）。
2019年 物理與數學博士，俄羅斯喀山聯邦大學。
工作職位
2023年至今 俄羅斯喀山聯邦（伏爾加地區）大學高級研究員。
2023年至今 俄羅斯喀山聯邦（伏爾加地區）大學副教授。
魯斯蘭·加齊祖林
教育背景
2010年 航空器與直升機工程碩士，俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）。
2017年 物理與數學博士，俄羅斯喀山聯邦大學。
工作職位
2015-2023年 俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）高級教師。
2023年至今 俄羅斯喀山國立研究技術大學（A.N.圖波列夫命名）結構強度系副教授。
