Introduction to Finite Element Methods (ASEN 5007) Fall 2015 Department of Aerospace Engineering Sciences University of Colorado at Boulder 


This is the public web site for the graduate core course ASEN 5007: Introduction To Finite Element Methods (IFEM). This master level course is part of the Aerospace Systems Focus Area of the graduate curriculum in the Department of Aerospace Engineering Sciences of the University of Colorado at Boulder. Offered yearly during the Fall Semester, both oncampus and remotely through CAETE. First taught in 1987. This website dates from 1998 and is continuously being revised. Related courses may be accessed at AFEM: Advanced Finite Element Methods (ASEN 6347) Master & doctoral level AVMM: Advanced Variational Methods in Mechanics Master & doctoral level (in preparation) FSI: Fluid Structure Interaction (ASEN 5509) Doctoral level MFEMD: Matrix Finite Element Methods in Dynamics Master & seniorelective level (in preparation) MFEMS: Matrix Finite Element Methods in Statics Master & seniorelective level (in preparation) NFEM: Nonlinear Finite Element Methods (ASEN 6107) Master & doctoral level IAST: Intro to Aerospace Structures (ASEN 3112) Junior undergraduate level General Course Information. Syllabus, coursework, schedule, roster ... Part 0: Preface Preface Index. Part I: Finite Element Discretization and the Direct Stiffness Method Chapter 1 Index. Overview. Not covered Chapter 2 Index. The Direct Stiffness Method I. HW#1 posted, due 9/3/14 for oncampus students. Solutions posted Chapter 3 Index. The Direct Stiffness Method II. HW#1 solutions posted Chapter 4 Index. Analysis of Example Truss by a CAS. HW#2 posted, due 9/10/14 for oncampus students. Solutions posted Chapter 5 Index. Constructing MoM Members. HW#2 solutions posted Chapter 6 Index. Finite Element Modeling: Introduction. Chapter 7 Index. Finite Element Modeling: Mesh, Loads, BCs. HW#3 posted, due 9/17/15 for oncampus students. Solutions posted Chapter 8 Index. Multifreedom Constraints I. HW#4 posted, due 9/29/14 for oncampus students. Has detailed info on Midterm 1. Solutions posted Chapter 9 Index. Multifreedom Constraints II. HW#4 solutions posted Chapter 10 Index. Superelements and GlobalLocal Analysis. HW#4 solutions posted Part II: Mathematical Formulation of Finite Elements Chapter 11 Index. Variational Formulation of Bar Element. HW#5 posted, due 10/15/15 for oncampus students. Chapter 12 Index. Variational Formulation of Plane Beam Element. Chapter 13 Index. Advanced OneDimensional Elements. Not covered Chapter 14 Index. The Plane Stress Problem. Chapter 15 Index. ThreeNode Plane Stress Triangles. Chapter 16 Index. The Isoparametric Representation. Chapter 17 Index. Isoparametric Quadrilaterals. Chapter 18 Index. Shape Function Magic. Chapter 19 Index. FEM Convergence Requirements Part III: Computer Implementation of Finite Elements Chapter 20 Index. Implementation of OneDimensional Elements. Chapter 21 Index. FEM Program for Space Trusses. Chapter 22 Index. FEM Programs for Trusses and Frames. Not covered Chapter 23 Index. Implementation of isoP Quadrilateral Elements. Chapter 24 Index. Implementation of isoP Triangular Elements. Chapter 25 Index. The Assembly Process. Chapter 26 Index. Solving FEM Equations. Not covered Chapter 27 Index. A Complete Plane Stress FEM Program. For demos. Chapter 28 Index. Stress Recovery. Chapter 29 Index. Fitting Fields Over Triangles (in progress) Not covered Chapter 30 Index. Thermomechanical Effects. Not covered Part IV: Intro to Dynamics and Vibrations This Part has been moved to the MFEMD web site. Appendices & Miscellaneous Stuff Appendix A Index. Linear Algebra: Vectors. Appendix B Index. Linear Algebra: Matrices. Appendix C Index. Continuum Mechanics Summary. Appendix D Index. Linear Algebra: Determinants, Inverses, Rank. Appendix E Index. Linear Algebra: Eigenproblems. Appendix F Index. Matrix Calculus. Appendix G Index. Graphics Utilities. Appendix H Index. History of MSA > FEM. Appendix M Index. From IOMoDE to FOMoDE (advanced stuff). Appendix O Index. The Origins of the Finite Element Method. Appendix P Index. Partitioned Matrices and the Schur Complement. Appendix Q Index. Miscellaneous FEM Formulation Topics. Appendix R Index. References (in progress). Appendix S Index. Spatial Applications of Matrices. CAETE PPT files . Chapters 121, 2328. Exam Material Exam Material Index. Midterm exams 12 and solutions posted. Final exam posted.  
Last update: October 8, 2015.
This page constructed by Carlos Felippa: carlos.felippa@colorado.edu