n=(3+1)/2=2
Brittle:
damage occurs spontaneously
fracture happens without/ very low limited level of plastic deformation
Ductile:
specisen experience significant plastic deformation before fracture -> causes neckling
difference in stress strain behaviour
Forward Euler Method
conditionally stable, requieres smaller delta t
f depends on the valuea of the actual time step
Explicit Euler
Ableitung der Funktion in f einsetzen mit yn und tn
tn: Intervall ist geg
yn: y(0)= hier 1
y n+1: mit Formel oben
Backward Euler
unconditionally stable, can use larger delta t
f depends on the values of the next time step
Implicit Euler
Ableitung der Funktion in f einsetzen mit yn+1 und tn+1
tn+1: tn + delta t
Yield function in 1D
Yield function in 3D
Von Mises yield criterion in 1D for isotropic and kinematic hardening
Von Mises yield criterion in 3D for isotropic and kinematic hardening
Zeige den Spannungs Dehnung (strain stress) Verlauf vom Isotropic und kinematic hardening und nenne die Kernaussage der verschiedenen Verfestigungen
kinematische Verfestigung: translatorische Verschiebung des Fließbereichs
isotrope Verfestigung: Ausdehnung des Fließbereichs
Formel für Yield point (Fließgrenze)
Welches Rheological Model bildet kinematic hardening ab?
Welches Rheological Model bildet nur creep ab?
Welches Rheological Model bildet isotropic hardening ab?
Welches Rheological Model bildet nur relaxation ab?
it is NOT possible to describe relaxation properly with the maxwell model (the stess goes to zero -> not true for relaxation)
Welches Rheological Model bildet creep und relaxation ab?
Three Parameter Model
Welches Rheolodical Model bildet kinematic und isotropic hardening ab?
2nd law of thermodynamics
only for small strains (streches and rotations)
H= F-I (Übung 7)
E for arbitrary large strains
Sketch the Thompson Model and is creep and relaxation modeled?
Yes,both are modeled
stress strain diagran isotropic and kinematic hardening
Was ist die relaxation time
tau =V/E
F = Grad(u)
Stress time diagramm for 3 parameter model
slopes for the elastic and plastic regimes for the following system
How to reach a statstically limit of a response
name two options
What is the RVE
Representative Volume Element
smallest material volume element of the composite for which the usual spatially constant (overal modulus) macroscopic constitutive representation is a sufficiently accurate model to represent mean constitutive response
What is deep learning?
What is machine learning
name 3 types
Regression- conitnuous output Y as a function of X
Clustering- discrete output Y as a function of X
Classification- no explicit output by clustering X
Explain Classification
Road planning
Newton-Raphson
sose20 4
Rotationsmatrix in 2D um x oder z achse
um die y achse wird das vorzeichen bei minus getauscht
Fallunterscheidungen Material law mit sigma y0
Damage variable d
Cross sectional area carrying the load
and
effective stress
Damage
sigma, epsilon, E
3D Elastic damage with linear damage hardening
Evolution of the damage variable 1D without damage hardening
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