A First Course in the Finite Element Method, Enhanced, SI 6/e [Logan] 9780357676431

• 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.

頁數：992
版次：第6版
年份：2023年
規格：平裝/彩色
ISBN：9780357676431

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).