ApL410
| ApL410 | |
|---|---|
| Multiscale Modeling and Computation | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | APL104 or equivalent course in Basic Solid |
| Overlaps | |
ApL410 : Multiscale Modeling and Computation
[edit]Mechanics Introduction to multiscale modeling; Bridging nano, micro and macro scale in materials; Basic equations of continuum mechanics; Micromechanical homogenization theory: Ergodicity principle, representative volume element, periodic boundary conditions, eigenstrain, eigenstress, inclusions; Effective elastic modulus: self-consistent method, Mori-Tanaka method, Eshelby method, Multi-inclusions problems; Voigt and Reuss bound; Hashin- shtrikmanvariational principles; Micromechanical damage theory; Micromechanics of phase transformation in solids; Nanomechanics: Linear atomic chains, two and three dimensional lattices, Molecular mechanics, Cauchy-Born rule.