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D32MH1_EN - Micromechanics of Heterogeneous Materials I (Analytical Methods)

Garant předmětu Blok studia Kredity Zakončení Rozsah Semestr Obor
doktorský zkouška 2P zimní

Anotace

The course will cover analytical methods for multiscale modeling of heterogenous materials, with emphasis on:

1. Introduction, overview of governing equations of elasticity, tensor notation, and averaging
2. Minimum energy principles, material symmetries
3. Elementary theory of overall moduli, concentration factors, Voigt-Reuss bounds
4. Exact solution for two-phase composites, idea of improved bounds
5. Eshelby problem
6. Approximate evaluation of overall moduli: dilute approximation, self-consistent method, Mori-Tanaka method
7. Improved bounds on overall moduli: Hashin-Shtrikman bounds
8. Thermo-elasticity
9. Extension to stationary transport processes

Odkazy