Kinematic hardening Kinematic hardening Kinematic hardening by nikeborome

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									Kinematic hardening 1
We have a linearly elastic linearly von Mises/Prager kinematic hardening plastic continuum with
- yield strength s and
- plastic hardening constant c(k).
(1) The material is first subjected to a uniaxial load


    where 11 increases from 0 to 1.5.
(2) After reaching              , the material is unloaded.
(3) Thereafter the material is loaded uniaxially in the e2 direction:
                        o
    Compute at which           plastic flow now begins.


Kinematic hardening 2
A metal sheet is manufactured from a linearly elastic linearly von Mises/Prager kinematic hardening
plastic material.
Material properties:
- elastic modulus E,
- Poisson’s numb 
- yield strength and
- plastic hardening constant c(k).


The sheet is loaded in a sequence of three
steps:
    (1) A first loading in biaxial tension:
                          where increases
        from 0 to        .
    (2) Thereafter the sheet is unloaded
    (3) Finally, the sheet is loaded in
        uniaxial compression        ,
        where      decreases from 0.
Compute at which            plastic flow starts
during load step (3).


Kinematic hardening 3
A linearly elastic linearly kinematically von Mises/Prager hardening plastic material (yield strength
and plastic hardening constant      ) is used for manufacturing a circular rod with radius a.
The rod is first loaded in uniaxial tension up to a plastic strain . After that it is unloaded. Finally a
torque is applied. How large can this torque be before plastic flow begins?

								
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