Advances in Continuum Modeling
7.5 ECTS creditsNon-dimensionalization and scaling. Extensive quantities and the link to the concept of measure. Local and global balance equations in terms of measure. Radon-Nikodym's theorem. Cauchy fluxes. Cauchy's and Piola-Kirchoff's stress tensors. Real and virtual work. Deformation tensor. Constitutive laws. Shock, Rankine-Hugoniot relations. Derivation of boundary conditions. General properties of Newtonian flows. Flows of inviscid fluids. Viscous flows and thermohydraulics. Chemical reactions. Derivation of combustion equations for mixtures. General equations for linear elasticity. Principle of virtual work and variantional formulations. Derivation of non-linear constitutive laws via asymptotic homogenization. Balance laws for extensive quantities in materials with microstructures.
Progressive specialisation:
A1N (has only first鈥恈ycle course/s as entry requirements)
Education level:
Master's level
Admission requirements
Mathematics 90 ECTS course credits, or equivalent
Selection:
Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.
More information
- Start Spring 2025
- Mode of study Campus
- Language English
- Course code MAAD26
- Application code KAU-46037
- Study pace 25% (Day)
- Study period week 4鈥23
- Schedule
- Introductory Information
- Reading list