For more information about this meeting, contact Kris Jenssen, Yuxi Zheng.
| Title: | Geometric Elasticity and Anelasticity |
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| Seminar: | CCMA PDEs and Numerical Methods Seminar Series |
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| Speaker: | Arash Yavari, The School of Civil and Environmental Engineering, Georgia Tech |
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| Abstract: |
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| In this seminar we present some applications of modern differential geometry
in solid mechanics. Traditionally, mechanics has been formulated in Euclidean space,
mainly for convenience and simplicity as in the early days of modern mechanics,
engineering scientists were interested in the simplest possible models. Working with the
simplest possible models for the practical problems of the time laid the foundations of
continuum mechanics. However, experience in physics shows that, in general,
configuration space of a physical system is not globally Euclidean; physical theories
should be formulated on manifolds.
We first motivate the recent geometric studies in continuum and discrete
mechanics by some important applications of geometric ideas, e.g. systematic
discritizations of elasticity and mechanics of defects. We review some previous attempts
in geometrization of different solid mechanics problems, e.g. continua with distributed
defects, etc. We then discuss several applications of geometric techniques in solid
mechanics, namely, covariant formulation of elasticity, material evolutions and their role
in continuum mechanics, geometric linearization of elasticity, thermal stresses,
kinematics of defect mechanics, geometric ideas in growth mechanics, and geometric
discretization of elasticity. |
Room Reservation Information
| Room Number: | MB216 |
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| Date: | 11 / 16 / 2009 |
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| Time: | 03:35pm - 04:25pm |
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