Advanced Finite Element Methods (ASEN 5367) Course Material

Advanced Finite Element Methods (ASEN 5367) - Spring 2006 Aerospace Engineering Sciences - University of Colorado at Boulder
Note: Please do not download material until the link is marked with an asterisk ( ) Several topics after Ch 8 may be changed or reshuffled this year.. Course outline. Updated May 3, 2006. Syllabus to be posted HW submission guidelines. Spring 2006 roster. If your name is missing or information is incorrect, please notify instructor. Chapter 1 Index. Overview. Chapter 2 Index. Decomposition of Poisson Problems. HW#1, due Jan 26, posted. Solutions posted. Chapter 3 Index. Weak and Variational Forms of Poisson's equation. Solutions posted. Chapter 4 Index. The Bernoulli-Euler Beam. HW#2, due Feb 2, posted. Solutions posted. Chapter 5 Index. Three-Dimensional Linear Elastostatics. Solutions posted. Chapter 6 Index. The HR Variational Principle of Elastostatics. HW#3, due Feb 9, posted. Solutions posted. Chapter 7 Index. The Three-Field Variational Principle of Elastostatics. Solutions posted. Chapter 8 Index. Hybrid Variational Principles of Elastostatics. HW#4, due Feb 16, posted. Solutions posted. Chapter 9 Index. Structures of Revolution. Chapter 10 Index. Axisymmetric Iso-P Elements. Solutions to Exercises posted. Chapter 11 Index. iso-P Quadrilateral Ring Elements. New Chapter, still under construction. Chapter 12 Index. A Complete Axisymmetric FEM Program. New Chapter, still under construction. HW#5, due Feb 28, and Mathematica Notebook may be downloaded. Chapter 13 Index. Placeholder for a future Chapter. Chapter 14 Index. Solid Elements: Overview. Chapter 15 Index. The Linear Tetrahedron. Chapter 16 Index. The Quadratic Tetrahedron. Chapter 17 Index. A Compendium of FEM Integration Rules. Not covered: for reference purposes only. Chapter 18 Index. Hexahedron Elements. HW#6, due Mar 16, posted. Term Project title required week after SB. Chapter 19 Index. Placeholder. Chapter 20 Index. Element Fabrication Overview. New Chapter written March 2006. Chapter 21 Index. The Patch Test. New Chapter. Section 21.7 added 3/19/06. Chapter 22 Index. Kirchhoff Plates: Field equations. HW#7, due Apr 6, posted. Chapter 23 Index. Kirchhoff Plates: BCs and Variational Forms. Chapter 24 Index. Thin Plate Bending: Overview. New Chapter. Chapter 25 Index. Triangular Plate Displacement Elements. No slides yet. Chapter 26 Index. Finite Element Templates for Plate Bending. Transcribed from a 2000 paper. Chapter 27 Index. Optimal Membrane Triangles with Drilling Freedoms. Transcribed from a 2003 paper. Chapter 28 Index. Chapter 28: Templates and Morphing. Unfinished, to be skipped. Chapter 29 Index. Shell Structures: Basic Concepts. New Chapter. Not covered in class. Chapter 30 Index. A Solid Shell Element. New Chapter. Chapter 31 Index. A Triangular Thin-Shell Element. Reproduces Chapter 4 of Bjorn Haugen's thesis. Chapter 32 Index. A Quadrilateral Thin-Shell Element. Reproduces Chapter 5 of Bjorn Haugen's thesis. Chapter 33 Index. Numerical Examples of Thin Shell Analysis.. Reproduces Chapters 6-8 of Bjorn Haugen's thesis. Appendix A Index. Appendix B Index. Appendix C Index. Appendix R Index. References. Midterm Exams. Take-home Exam 1 posted Mar 2, 2006. Solutions posted. *Term Projects. Index for 2006 term projects.

Advanced Finite Element Methods (ASEN 5367) - Spring 2006
Aerospace Engineering Sciences - University of Colorado at Boulder

Note: Please do not download material until the link is marked with an asterisk ( ) Several topics after Ch 8 may be changed or reshuffled this year..

*Course outline. Updated May 3, 2006. Syllabus to be posted
HW submission guidelines.
Spring 2006 roster. If your name is missing or information is incorrect, please notify instructor.

*Chapter 1 Index. Overview.

*Chapter 2 Index. Decomposition of Poisson Problems. HW#1, due Jan 26, posted. Solutions posted.

*Chapter 3 Index. Weak and Variational Forms of Poisson's equation. Solutions posted.

*Chapter 4 Index. The Bernoulli-Euler Beam. HW#2, due Feb 2, posted. Solutions posted.

*Chapter 5 Index. Three-Dimensional Linear Elastostatics. Solutions posted.

*Chapter 6 Index. The HR Variational Principle of Elastostatics. HW#3, due Feb 9, posted. Solutions posted.

*Chapter 7 Index. The Three-Field Variational Principle of Elastostatics. Solutions posted.

*Chapter 8 Index. Hybrid Variational Principles of Elastostatics. HW#4, due Feb 16, posted. Solutions posted.

*Chapter 9 Index. Structures of Revolution.

*Chapter 10 Index. Axisymmetric Iso-P Elements. Solutions to Exercises posted.

Chapter 11 Index. iso-P Quadrilateral Ring Elements. New Chapter, still under construction.

Chapter 12 Index. A Complete Axisymmetric FEM Program. New Chapter, still under construction. HW#5, due Feb 28, and Mathematica Notebook may be downloaded.

Chapter 13 Index. Placeholder for a future Chapter.

*Chapter 14 Index. Solid Elements: Overview.

*Chapter 15 Index. The Linear Tetrahedron.

*Chapter 16 Index. The Quadratic Tetrahedron.

Chapter 17 Index. A Compendium of FEM Integration Rules. Not covered: for reference purposes only.

*Chapter 18 Index. Hexahedron Elements. HW#6, due Mar 16, posted. Term Project title required week after SB.

Chapter 19 Index. Placeholder.

*Chapter 20 Index. Element Fabrication Overview. New Chapter written March 2006.

*Chapter 21 Index. The Patch Test. New Chapter. Section 21.7 added 3/19/06.

*Chapter 22 Index. Kirchhoff Plates: Field equations. HW#7, due Apr 6, posted.

*Chapter 23 Index. Kirchhoff Plates: BCs and Variational Forms.

*Chapter 24 Index. Thin Plate Bending: Overview. New Chapter.

*Chapter 25 Index. Triangular Plate Displacement Elements. No slides yet.

*Chapter 26 Index. Finite Element Templates for Plate Bending. Transcribed from a 2000 paper.

*Chapter 27 Index. Optimal Membrane Triangles with Drilling Freedoms. Transcribed from a 2003 paper.

Chapter 28 Index. Chapter 28: Templates and Morphing. Unfinished, to be skipped.

*Chapter 29 Index. Shell Structures: Basic Concepts. New Chapter. Not covered in class.

*Chapter 30 Index. A Solid Shell Element. New Chapter.

*Chapter 31 Index. A Triangular Thin-Shell Element. Reproduces Chapter 4 of Bjorn Haugen's thesis.

*Chapter 32 Index. A Quadrilateral Thin-Shell Element. Reproduces Chapter 5 of Bjorn Haugen's thesis.

*Chapter 33 Index. Numerical Examples of Thin Shell Analysis.. Reproduces Chapters 6-8 of Bjorn Haugen's thesis.

Appendix A Index.

Appendix B Index.

Appendix C Index.

*Appendix R Index. References.

*Midterm Exams. Take-home Exam 1 posted Mar 2, 2006. Solutions posted.

*Term Projects. Index for 2006 term projects.