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The spatial spray evolution is described by the processed PDA data.
Its evolution is described by a fictive temperature that obeys Tool's equation with a characteristic time proportional to the average time for rearrangement.
The composite damage in the post-critical state was determined by the progressive damage criterion according to which composite damage initiation is described by the Hashin criterion whereas damage evolution is described by the energy criterion.
The evolution is described by Eq. (19) and the fastest growing mode corresponds to (vec q_{0}=sqrt {frac {|{hat {nu }}_{x}|}{2{bar {K}}}}vec 1_{x}) with a growth rate (q_{0}^{4}bar K).
We can then put this system into the general form above by replacing a with (tilde{a}:=log(a)), whose evolution is described by the ODE (frac{tau_{a}}{epsilon}dot{tilde{a}} = f_{a}(r_{a}) - f_{a}(r)).
As a result, the evolution is described by an event-driven map that is composed of Eq. (4) together with the following recursive relation: u n + 1, j − 1 = u n, j + A 1 ( u j, τ n ) + A 2 ( E n, P n, τ n ), (10).
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(Its worrisome evolution was described by Steve Coll in this magazine).
The dynamics and morphology of the microstructure evolution are described by our three-dimensional version of the stochastic time-dependent kinetic equation which explicitly includes the coherency strain, elastic anisotropy and L12 ordering of the preciptate phase.
The evolution of yielding is described by two independent hardening curves either for in-plane shear or transverse normal load.
Within the framework of the kinetic approach, the evolution of nucleation is described by the nucleation equation, connecting thermodynamic and kinetic features of the process.
In this model, the association constant describing the exponential time evolution of the complexes formation is proportional to the receptors surface density, while the time evolution of the dissociation is described by the dissociation constant k diss.
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Justyna Jupowicz-Kozak
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