彈性理論

前言

本書是彈性理論世界名著和經(jīng)典教材。作者編寫本書的宗旨是：把彈性理論中必要的基本知識(shí)以簡(jiǎn)明易懂的方式傳授給工程師們。敘述由淺入深，物理概念清晰，數(shù)學(xué)推導(dǎo)力求淺顯。選材時(shí)十分重視工程應(yīng)用，匯集了不少實(shí)際應(yīng)用中極為重要的彈性理論典型解例。本書的第一、第二版分別出版于1934年和1951年。1970年出版的第三版又進(jìn)行了審查、刪減、增補(bǔ)和調(diào)整，反映了自第二版問世后應(yīng)用彈性理論領(lǐng)域的最新進(jìn)展。因第一作者鐵摩辛柯教授于1972年5月逝世，此后再無出版新版。如今到了公元21世紀(jì)，美國土木工程、礦山治金與石油工程、機(jī)械工程、電工電子工程和化學(xué)工程等五個(gè)國家級(jí)工程協(xié)會(huì)聯(lián)合精選了一套10本高水平的經(jīng)典著作作為“工程科學(xué)專著”出版，其中唯有鐵摩辛柯一人有3本著作（本書及其姐妹篇“彈性穩(wěn)定理論”、“板殼理論”）被列選，可見作者及本書影響之深遠(yuǎn)。本書在我國的影響也很大。其第二版由徐芝綸和吳永楨翻譯成中文，于1964年由高等教育出版社出版。在第二版譯文的基礎(chǔ)上徐芝綸又完成了第三版的翻譯工作，由高等教育出版社于1990年出版。我國工科院校廣泛采用的彈性力學(xué)教材，例如徐芝綸教授編著的“彈性力學(xué)”，大多繼承了本書的體系和風(fēng)格，因此本書是我國彈性力學(xué)課程首選的英文教材或參考書。全書共分14章：第1章緒論，第2章平面應(yīng)力和平面應(yīng)變，第3章直角坐標(biāo)中的二維問題，第4章極坐標(biāo)中的二維問題，第5章光彈性與云紋實(shí)驗(yàn)方法，第6章曲線坐標(biāo)中的二維問題，第7章三維應(yīng)力和應(yīng)變問題，第8章一般定理，第9章簡(jiǎn)單的三維彈性問題，第10章扭轉(zhuǎn)，第11章桿的變曲，第12章回轉(zhuǎn)體中的軸對(duì)稱應(yīng)力和變形，第13章熱應(yīng)力，第14章彈性固體介質(zhì)中波的傳播。最后有一附錄，講述差分方程在彈性理論中的應(yīng)用。書中附有習(xí)題供讀者練習(xí)，還附有大量參考文獻(xiàn)引導(dǎo)讀者對(duì)相關(guān)問題作更為深入的研究。本書可作為高等學(xué)校彈性力學(xué)課程的英文教科書或教學(xué)參考書，也是科研與工程技術(shù)人員值得珍藏的世界名著。

內(nèi)容概要

本書是彈性理論世界名著和經(jīng)典教材。全書14章，包括緒論、平面應(yīng)力和平面應(yīng)變、直角坐標(biāo)中的二維問題、極坐標(biāo)中的二維問題、一般定理、簡(jiǎn)單的三維彈性問題、扭轉(zhuǎn)、桿的彎曲、回轉(zhuǎn)體中的軸對(duì)稱應(yīng)力和變形、熱應(yīng)力、彈性固體介質(zhì)中波的傳播。最后有一附錄，講述差分方程在彈性理論中的應(yīng)用。書中附有習(xí)題供讀者練習(xí)，還附有大量注釋文獻(xiàn)引導(dǎo)讀者對(duì)相關(guān)問題作更為深入的研究?！　”緯勺鳛楦叩仍盒椥粤W(xué)課程的英文教科書或教學(xué)參考書，也是科研與工程技術(shù)人員值得珍藏的世界名著。

書籍目錄

Preface to the Third EditionPreface to the Second EditionPreface to the First EditionNotationChapter 1 Introduction  1. Elasticity  2. Stress  3. Notation for Forces and Stresses  4. Componts of Stress  5. Components of Strain  6. Hooke's Law  7. Index 's Law　problemsChapter 2 Plane Stress and Plane Strain   8. Plane Stree  9. Plane Stain  10. Stress at a Point  11. Strain at  a Point  12. Measurement of Surface Strains  13.Construction of Mohr Strain Circle for Strain Rosette  14.Differential Epuations of Equilibrium  15. Boundary Conditions  16. Compatibility Equations  17 Stress Function  18 Stree Function　ProblemsChapter 3 Two dimensional Problems in Rectangular Coordinates　……Chapter 4 Two-dimensional Problems in Polar CoordinatesChapter 5 Photoelastic and Moire Experimental MethodsChapter 6 Two-dimensional Problems in Curvilinear CoordinatesChapter 7 Analysis of Stress and Strain in Three DimensionsChapter 8 General TheoremsChapter 9 Elementary Problems of Elasticity in Three DimensionsChapter 10 TorsionChapter 11 Bending of BarsChapter 12 Axisymmetric Stress and Deformation in a Solid of RevolutionChapter 13 Thermal StressChapter 14 The Propagation of Waves in Elastic Solid Media Appendix  The Application of Finite differience Equations in  ElaticityName InedxSubject Index

章節(jié)摘錄

插圖：Almost all engineering materials possess to a certain extent the propertyof elasticity.If the external forces producing deformation do not exceeda certain limit, the deformation disappears with the removal of the forces.Throughout this book it will be assumed that the bodies undergoing theaction of external forces are perfectly elastic, i.e., that they resume theirinitial form completely after removal of the forces. Atomic structure will not be considered here.It will be assumed thatthe matter of an elastic body is homogeneous and continuously distributedover its volume so that the smallest element cut from the body possessesthe same specific physical properties as the body.To simplify the dis-cussion it will also be assumed that for the most part the body is isotropic,i.e., that the elastic properties are the same in all directions.Structural materials do not satisfy the above assumptions completely.Such an important material as steel, for instance, when studied with amicroscope, is seen to consist of crystals of various kinds and variousorientations.The material is very far from being homogeneous, butexperience shows that solutions of the theory of elasticity based on theassumptions of homogeneity and isotropy can be applied to steel struc-tures with very great accuracy.The explanation of this is that the crys-tals are very small, usually there are millions of them in one cubic inch ofsteel.While the elastic properties of a single crystal may be very differ-ent in different directions, the crystals are ordinarily distributed at ran-dom and the elastic properties of larger pieces of metal represent aver-ages of properties of the crystals.

編輯推薦

《彈性理論》特色：是彈性理論世界名著和經(jīng)典教材。作者的宗旨是：把彈性理論中必要的基本知識(shí)以簡(jiǎn)明易懂的方式傳授給工程師們。敘述由淺入深，物理概念清晰，數(shù)學(xué)推導(dǎo)力求淺顯。重視工程應(yīng)用，匯集了不少實(shí)際應(yīng)用中極為重要的彈性理論典型解例。附有習(xí)題供讀者練習(xí)，還附有大量注釋文獻(xiàn)引導(dǎo)讀者對(duì)相關(guān)問題作更深入的研究。

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