A First Course in the Finite Element Method, Enhanced Edition, SI Version, 6/e (Paperback)

本書序言

●REAL-WORLD EXAMPLES FURTHER CLARIFY CONCEPTS. Additional real-world examples and problems throughout this edition enhance student understanding and reinforce concepts in the book.
●LARGER VARIETY OF EXAMPLES HIGHLIGHT APPLICATIONS IN DIVERSE DISCIPLES. New examples from other fields now demonstrate how students can use the Finite Element Method (FEM) to solve problems in a variety of engineering and mathematical physics areas.
●MORE THAN 70% OF THE END OF CHAPTER PROBLEMS ARE NEW OR REVISED. Some of the derivations have been redone in a more simplified manner, making it conceptually easier to understand them.
●A CLEAR GRAPHICAL METHOD HAS BEEN ADDED to derive the transformation matrix relating local and global displacements and forces.

本書特色

●CONTEMPORARY REAL-WORLD EXAMPLES AND PROBLEMS FURTHER CLARIFY CONCEPTS. Real-world examples and problems throughout this edition illustrate the latest developments and applications from the field today. These current examples and problems enhance student understanding and reinforce updated content and concepts presented in this enhanced edition.
●CLEAR GRAPHICAL METHOD. Students can use this graphical method to derive the transformation matrix relating local and global displacements and forces.
●CHAPTER OBJECTIVES AND END-OF-CHAPTER SUMMARY EQUATIONS INCREASE UNDERSTANDING. The chapter objectives guide student attention to key concepts, so readers know where to focus study efforts and which content is most important to retain. Key summary equations also help students efficiently review important content.
●HELPFUL 16-PAGE COLOR INSERT VISUALLY CLARIFIES CONCEPTS. Many of the three-dimensional images in the book are carefully illustrated within this special insert to clarify principles at work and boost student comprehension.
●STEP-BY-STEP, COMPLETED EXAMPLES CLEARLY ILLUSTRATE CONCEPTS. Many worked-out examples appear throughout the text to demonstrate correct methodology. These examples are solved step-by-step to show students how to apply essential concepts.
●PRACTICAL, CONSISTENT STRUCTURE ENSURES STUDENT UNDERSTANDING. Topics progress from basic to advanced as each chapter follows a similar structure and format. General principles are presented for each topic, followed by traditional applications of these principles as well as computer applications, where relevant.
●LARGE VARIETY OF EXAMPLES DEMONSTRATE FEM APPLICATIONS IN DIVERSE DISCIPLES. Examples from other fields now illustrate how students can use the Finite Element Method (FEM) to solve problems in a variety of engineering and mathematical physics areas today.
●CLEAR PRESENTATION IS IDEAL FOR THOSE NEW TO THE FIELD. Written as a basic learning tool for students in civil and mechanical engineering, this text does not presume an extensive background in structural analysis. All mathematical concepts are presented in a simple and straightforward manner to maximize comprehension.
●EXTENSIVE APPENDICES OFFER ADDITIONAL SUPPORT FOR REVIEW OR ADVANCED STUDY. Helpful appendices review basic matrix algebra that is used throughout the text as well as solutions methods for simultaneous equations, equations from elasticity theory, equivalent nodal forces, the principle of virtual work and the properties of structural steel and aluminum shapes.

本書序言

●真實世界的例子進一步闡明概念。本版中的額外真實世界的例子和問題增強了學生的理解，並加強了書中的概念。
●更多種類的例子突出了不同學科的應用。現在，來自其他領域的新例子展示了學生如何使用有限元法（FEM）來解決各種工程和數學物理領域的問題。
●超過70％的章末問題是新的或經過修訂的。一些推導過程以更簡化的方式重新進行，使其在概念上更容易理解。
●添加了一種清晰的圖形方法，用於推導將局部位移和力與全局位移和力相關的轉換矩陣。

本書特色

●當代真實世界的例子和問題進一步闡明概念。本版中的真實世界的例子和問題展示了當今領域的最新發展和應用。這些當前的例子和問題增強了學生的理解，並加強了本增強版中呈現的更新內容和概念。
●清晰的圖形方法。學生可以使用這種圖形方法來推導將局部位移和力與全局位移和力相關的轉換矩陣。
●章節目標和章末總結方程式增加了理解。章節目標引導學生關注關鍵概念，讓讀者知道在學習中應該集中精力和哪些內容最重要。關鍵總結方程式也有助於學生高效地複習重要內容。
●有助於視覺上闡明概念的16頁彩色插圖。書中的許多三維圖像都在這個特殊插圖中精心繪製，以闡明工作原理並提高學生的理解力。
●逐步完成的例子清晰地說明概念。書中出現了許多解題過程的例子，以示範正確的方法。這些例子逐步解決，以向學生展示如何應用基本概念。
●實用的、一致的結構確保學生理解。每個章節都按照相似的結構和格式進行，從基礎到高級進行。每個主題都介紹了一般原則，然後是這些原則的傳統應用以及相關的計算機應用。
●大量的例子展示了有限元法在不同學科中的應用。現在，來自其他領域的例子展示了學生如何使用有限元法（FEM）來解決當今各種工程和數學物理領域的問題。
●清晰的呈現對於初學者來說是理想的。作為土木和機械工程學生的基礎學習工具，本書不假設讀者在結構分析方面有廣泛的背景知識。所有數學概念都以簡單明了的方式呈現，以最大程度地提高理解力。
●廣泛的附錄提供了額外的支持，供複習或進一步研究使用。有用的附錄回顧了在整本書中使用的基本矩陣代數，以及同時方程的解法、彈性理論中的方程、等效節點力、虛功原理和結構鋼和鋁形狀的性質。

Daryl L. Logan is Professor of Mechanical Engineering at the University of Wisconsin-Platteville. He received his Ph.D. in 1972 from the University of Illinois –- Chicago. He has been a member of the American Society of Mechanical Engineers (ASME), Tau Beta Pi - National Honor Society, and the American Society for Engineering Education (ASEE). He holds a Professional Engineer's License in the state of Indiana. 

Daryl L. Logan 是威斯康辛州普拉特維爾大學的機械工程學教授。他於1972年從伊利諾伊大學芝加哥分校獲得博士學位。他是美國機械工程師學會（ASME）、Tau Beta Pi - 國家榮譽學會和美國工程教育學會（ASEE）的成員。他在印第安納州持有專業工程師執照。

1. INTRODUCTION.
2. INTRODUCTION TO THE STIFFNESS (DISPLACEMENT) METHOD.
3. DEVELOPMENT OF TRUSS EQUATIONS.
4. DEVELOPMENT OF BEAM EQUATIONS.
5. FRAME AND GRID EQUATIONS.
6. DEVELOPMENT OF THE PLANE STRESS AND STRAIN STIFFNESS EQUATIONS.
7. PRACTICAL CONSIDERATIONS IN MODELING: INTERPRETING RESULTS AND EXAMPLES OF PLANE STRESS-STRAIN ANALYSIS.
8. DEVELOPMENT OF THE LINEAR-STRAIN TRIANGLE EQUATIONS.
9. AXISYMMETRIC ELEMENTS.
10. ISOPARAMETRIC FORMULATION.
11. THREE-DIMENSIONAL STRESS ANALYSIS.
12. PLATE BENDING ELEMENT.
13. HEAT TRANSFER AND MASS TRANSPORT.
14. FLUID FLOW IN POROUS MEDIA AND THROUGH HYDRAULIC NETWORKS; AND ELECTRICAL NETWORKS AND ELECTROSTATICS.
15. THERMAL STRESS.
16. STRUCTURAL DYNAMICS AND TIME-DEPENDENT HEAT TRANSFER
APPENDIX A: MATRIX ALGEBRA.
APPENDIX B: METHODS FOR SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS.
APPENDIX C: EQUATIONS FOR ELASTICITY THEORY.
APPENDIX D: EQUIVALENT NODAL FORCES.
APPENDIX E: PRINCIPLE OF VIRTUAL WORK.
APPENDIX F: GEOMETRIC PROPERTIES OF STRUCTURAL STEEL WIDE-FLANGE SECTIONS (W SHAPES).
ANSWERS TO SELECTED PROBLEMS.

1. 簡介。
2. 剛度（位移）法的介紹。
3. 桁架方程式的推導。
4. 梁方程式的推導。
5. 框架和網格方程式。
6. 平面應力和應變剛度方程式的推導。
7. 建模中的實際考慮事項：解釋結果和平面應力應變分析的示例。
8. 線性應變三角形方程式的推導。
9. 軸對稱元素。
10. 等參數公式。
11. 三維應力分析。
12. 板彎曲元素。
13. 熱傳和質量傳遞。
14. 多孔介質中的流體流動和水力網絡；以及電氣網絡和靜電學。
15. 熱應力。
16. 結構動力學和時間相依熱傳。
附錄A：矩陣代數。
附錄B：解決同時線性方程組的方法。
附錄C：彈性理論方程。
附錄D：等效節點力。
附錄E：虛功原理。
附錄F：結構鋼廣翼形截面（W形狀）的幾何特性。
選定問題的答案。