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power law

Isotropic hardening law

Hi all,

I have come across the two relations where aim to describe the isotropic hardening of a material

Power law:

R = Kεpn R is the variation in stress from initial yield, εp is the plastic strain where K is the strenght coefficient and n is the strain hardening exponent as observed in Ramberg Osgood equations.

Exponential law:

R = R∞ [1-e(-bεp)] where R∞ is the saturated value of the R variation, b is the rate at which the sauration is reached.

 

Modeling Metal forming in Abaqus...

I'm currently working on my master thesis which is in the area of metal
forming simulation...

I have one question,,, when adding material plasticity in Abaqus using the
power law...

to what limit shall i go in the tabulated form is it to 100% plasticity or
to the maximum strain the material can take...

 in other word,,, if the power law is: σ =250*εp^0.123...

shall i inter the values till at σ=250, ε=1... or shall i stop at let say ε=0.25...

Regards,,,

Was

Dynamics of wrinkle growth and coarsening in stressed thin films

Rui Huang and Se Hyuk Im, Physical Review E 74, 026214 (2006).

A stressed thin film on a soft substrate can develop complex wrinkle patterns. The onset of wrinkling and initial growth is well described by a linear perturbation analysis, and the equilibrium wrinkles can be analyzed using an energy approach. In between, the wrinkle pattern undergoes a coarsening process with a peculiar dynamics. By using a proper scaling and two-dimensional numerical simulations, this paper develops a quantitative understanding of the wrinkling dynamics from initial growth through coarsening till equilibrium. It is found that, during the initial growth, a stress-dependent wavelength is selected and the wrinkle amplitude grows exponentially over time. During coarsening, both the wrinkle wavelength and amplitude increases, following a simple scaling law under uniaxial compression. Slightly different dynamics is observed under equi-biaxial stresses, which starts with a faster coarsening rate before asymptotically approaching the same scaling under uniaxial stresses. At equilibrium, a parallel stripe pattern is obtained under uniaxial stresses and a labyrinth pattern under equi-biaxial stresses. Both have the same wavelength, independent of the initial stress. On the other hand, the wrinkle amplitude depends on the initial stress state, which is higher under an equi-biaxial stress than that under a uniaxial stress of the same magnitude.

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