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Data pro 2018/2019

Mechanics of Materials

Kredity 4
Rozsah 2 / 1 / 0
Examinace Zk
Jazyk výuky angličtina
Úroveň magisterský předmět
Garant prof. Dr. Dipl. Min. Willi Pabst

Anotace

None

Sylabus

1. Introduction: balance equations of mechanics and thermomechanics, tensors, principal values, invariants, Cayley-Hamilton theorem
2. Constitutive theory: constitutive principles, deformation function, deformation gradient, deformation and strain tensors, stress tensors
3. Linear elasticity of anisotropic solids, nonlinear elasticity of isotropic solids, viscosity of non-Newtonian fluids
4. Linear elasticity of isotropic solids (uniaxial tension, simple shear, isotropic deformation), definition of elastic constants, auxetic materials
5. Linear thermoelasticity of solids and fluids (stress, heat flux, energy, entropy), isothermal and adiabatic elastic constants
6. Equations of state, principles of atomistic modeling of elastic and thermoelastic properties; property values for metals, ceramics, glasses and polymers
7. Effective elastic, thermoelastic and thermophysical properties of dense polycrystalline materials; measurement of elastic, thermoelastic and thermophysical properties
8. Temperature dependence of elastic, thermoelastic and thermophysical properties; high-temperature behavior of materials
9. Basic fracture mechanics: plane elasticity, stress intensity factor, fracture criteria, plastic zone, fatigue, lifetime; elastoplastic behavior
10. Testing of mechanical properties: strength, Weibull statistics, hardness, fracture toughness; temperature and grain size dependence of properties
11. Rheology: Viscous, viscoplastic and viscoelastic material behavior, damping
12. Effective properties of heterogeneous materials I: Rigorous micromechanical bounds
13. Effective properties of heterogeneous materials II: Model relations for composites
14. Effective properties of heterogeneous materials III: Model relations for porous materials

Literatura

None

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