1. Tensile test, axial strain, axial stress, true stress and true strain calculation. Additivity of logarithmic strain. Evaluation of tensile test. Proof yield stress, ductility, Poisson’s ratio.
2. Approximation of static stress/strain curve for analytical calculations. Ideally plastic material, Ramberg. Osgood equation, bilinear material model. Application of least square method for constant determination in constitutive relations.
3. Analytical solution: Truss structures loaded in plastic domain. Solution of beams in plastic domain. Plastic bending modulus for rectangular cross-section. Plastic hinge.
4. Incremental theory of plasticity - additive rule, Hooke’s law for elastic strain under uniaxial and multiaxial loading. Incremental theory of plasticity. yield condition under uniaxial and multiaxial loading for ideally plastic material.
5. Incremental theory of plasticity. isotropic hardening rule, kinematic hardening rule, loading criteria.
6. Nonlinear isotropic hardening rule according to Voce and its combination with linear isotropic hardening rule in ANSYS. Bilinear kinematic hardening rule according to Prager and Ziegler.
7. Nonlinear kinematic hardening rule according to Armstrong and Frederic.
8. Nonlinear kinematic hardening rule according to Chaboche.
9. Calibration of Armstrong-Frederic-type model based on data from static stress-strain curve. Stress-strain behaviour of ductile materials under cyclic loading. Calibration of Armstrong-Frederic-type model based on data from cyclic stress-strain curve and from a large uniaxial hysteresis loop.
10. Algorithms for stress integration in elastoplasticity. explanation on uniaxial loading case, explicit and implicit methods.
11. Algorithms for stress integration in elastoplasticity. radial return method for ideally plastic material under uniaxial loading case and under multiaxial loading case.
12. Algorithms for stress integration in elastoplasticity. radial return method for material with mixed hardening, Koabyashi-Ohno algorithm under uniaxial loading case.
13. Algorithms for stress integration in elastoplasticity. radial return method for material with mixed hardening, Koabyashi-Ohno algorithm under multiaxial loading case.
14. Newton-Raphson method and its modifications. Tangent stiffness modulus influence on the convergence of the N-R method. Consistent tangent modulus.
2. Approximation of static stress/strain curve for analytical calculations. Ideally plastic material, Ramberg. Osgood equation, bilinear material model. Application of least square method for constant determination in constitutive relations.
3. Analytical solution: Truss structures loaded in plastic domain. Solution of beams in plastic domain. Plastic bending modulus for rectangular cross-section. Plastic hinge.
4. Incremental theory of plasticity - additive rule, Hooke’s law for elastic strain under uniaxial and multiaxial loading. Incremental theory of plasticity. yield condition under uniaxial and multiaxial loading for ideally plastic material.
5. Incremental theory of plasticity. isotropic hardening rule, kinematic hardening rule, loading criteria.
6. Nonlinear isotropic hardening rule according to Voce and its combination with linear isotropic hardening rule in ANSYS. Bilinear kinematic hardening rule according to Prager and Ziegler.
7. Nonlinear kinematic hardening rule according to Armstrong and Frederic.
8. Nonlinear kinematic hardening rule according to Chaboche.
9. Calibration of Armstrong-Frederic-type model based on data from static stress-strain curve. Stress-strain behaviour of ductile materials under cyclic loading. Calibration of Armstrong-Frederic-type model based on data from cyclic stress-strain curve and from a large uniaxial hysteresis loop.
10. Algorithms for stress integration in elastoplasticity. explanation on uniaxial loading case, explicit and implicit methods.
11. Algorithms for stress integration in elastoplasticity. radial return method for ideally plastic material under uniaxial loading case and under multiaxial loading case.
12. Algorithms for stress integration in elastoplasticity. radial return method for material with mixed hardening, Koabyashi-Ohno algorithm under uniaxial loading case.
13. Algorithms for stress integration in elastoplasticity. radial return method for material with mixed hardening, Koabyashi-Ohno algorithm under multiaxial loading case.
14. Newton-Raphson method and its modifications. Tangent stiffness modulus influence on the convergence of the N-R method. Consistent tangent modulus.