16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course will include: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms will include: Variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There will be a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. At the beginning of the course, the students will be given the source of a base code with all the elements of a finite element program which constitute overhead and do not contribute to the learning objectives of this course (assembly and equation-solving methods, etc.). Each assignment will consist of formulating and implementing on this basic platform, the increasingly complex algorithms resulting from the theory given in class, as well as in using the code to numerically solve specific problems. The application to real engineering applications and problems in engineering science will be stressed throughout.
The class forms a "Presidential Task Force" for a week, empowered by the president to find answers and make recommendations concerning the future of the national power grid. Task force members conduct daily debriefings with their research team and prepare a report and presentation of their findings for the president, using an actual policy document as a guide. Although this activity is geared towards fifth-grade and older students and Internet research capabilities are required, some portions may be appropriate for younger students.
Subject:
Mathematics and Statistics, Science and Technology
The relationship between the very young and the very old is one which many children will have first-hand experience of. They can empathize with the little girl in this story and through activities children can explore the important historical concepts of generation and sequence.
This course is offered to graduates and addresses issues regarding ultrafast optics. Topics covered include: generation and propagation of ultrashort pulses (nano-, pico-, femto-, attosecond pulses) and linear and non-linear effects. Applications of the topic vary and include high precision measurements, nonlinear optics, optical signal processing, optical communications, and x-ray generation.
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