Fall 2018AE 337/AE 731 - Multiscale Modeling of MaterialsThis is a new graduate level elective dealing with various aspects of modeling the mechanical behavior of crystalline materials across various length and time scales, from atomistic to the continuum. Course material will be uploaded here as the course progresses. AE 486/AE 639 - Continuum MechanicsThis is a senior undergraduate/beginning graduate elective in Continuum Mechanics. Here are some slides that cover the material discussed in class. - Introduction and Course Logistics (slides)
- A minimal introduction to key concepts in continuum mechanics can be found in these slides.
I will add to the content here and refine the slides when I get some time. The material here is fairly standard, and can be found in a variety of textbooks/lecture notes. I would like to the teaching assistant for this course, Ashish Kumar Bodla, for drawing most of the figures in the slides based on my hand-drawn sketches. I would appreciate it if you can bring to my attention any typos or errors in the material. I would also like to hear your comments and/or feedback. Thanks! Mathematical BackgroundAn introduction to linear and multilinear algebra can be found in these notes. Note that you will need to know only basic vector and tensor algebra in Euclidean spaces for the exams. The additional details, while not necessary for the exams, will give you a firm understanding of linear and multilinear algebra, and prepare you for the advanced material in case you are interested. Advanced material (not required for exams!) These are advanced notes on select topics in Continuum Mechanics. The notes are in draft form at the moment, and I will be adding more material whenever I get some time to type things out. For the most part, the standard reference I have followed is Mathematical Foundations of Elasticity by Marsden & Hughes. |