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ApL410: Difference between revisions

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| credits = 3
| credits = 3
| credit_structure = 3-0-0
| credit_structure = 3-0-0
| pre_requisites = APL104 or equivalent course in Basic Solid
| pre_requisites = [[APL104]] or equivalent course in Basic Solid
| overlaps =  
| overlaps =  
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Latest revision as of 16:22, 14 April 2026

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

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.