- Understanding of the foundational concepts of continuum mechanics of solids and fluids and the resulting equations;
- Applying analytic methods for the treatment of the corresponding equations;
- Setting up of force and stress distributions in practical problems and calculating them in standard cases;
- Simplifying mechanical models for practical applications and valuing their applicability;
- Understanding material models in practical applications valuing their applicability
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Deformation, rigid deformation, strain tensors;
Euler and Lagrangian coordinates;
Piola transform;
Mass, density and mass conservation;
Body forces and contact forces and torque;
Linear and angular momentum;
Stress and stress tensors;
Stress principle;
Equation of equlibrium and motion in Lagrange and Euler coordinates;
Constitutive equations for elastic bodies;
Axiom of material frame indifference;
Isotropy;
Rivlin Erikson theorem;
Hyperelasticity;
Linearized Elasticity;
Mathematical theory of linearized elasticity;
Simplified models: plane stress and strain and Kirchoff-Love model;
Reynolds transport theorem;
Newtonian fluid;
Incompressible fluids;
Navier-Stokes equations
Simplfied models: Euler and Stokes flow;
Vorticity;
Potential flow;
Boundary layer models;
Turbulence models;
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