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In the course of deformation a special zone develops around such non-deformable particles, which is characterized by a high local strain and high misorientation gradient.
The nonlinear response of the frame to the removal of the column is evaluated and the amount of energy absorbed during the course of deformation is calculated.
Our model describes these materials as two-phase continua consisting of microdomains with easy glide and barriers with decreasing continuity in the course of deformation.
In addition a physically-based relation for the length scale parameter as a function of the course of deformation and the material microstructural features is proposed.
We argue that these size effects are caused by dislocation starvation hardening, with dislocations leaving the crystal more quickly than they multiply and leading to the requirement of continual dislocation nucleation during the course of deformation.
As the aging time further increased, the diffuse zones were gradually replaced by the sharp straight shear zones that nucleated at a much lower strain and could break down during the course of deformation.
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Particular attention has been paid to the analysis of the flow stress, work-hardening and work-softening behavior when this material is subjected to transient testing conditions, that is to say, changes in strain rate and deformation temperature in the course of plastic deformation.
The applicability of the theory is illustrated by fitting experimental data on distorted yield surfaces in the course of plastic deformation.
The study reveals that pronounced recovery instead of primary recrystallization is required to obtain a large fraction of high-angle grain boundaries (HAGBs) as a prerequisite for the development of ultrafine grains in the course of warm deformation.
The pronounced effect of external forces, i.e. in this context, possible histories of variations in forces, is not examined (the unloading phenomenon of cross-sections is ignored in the course of plastic deformation).
It is found out that the change of boundary conditions and material inhomogeneity during the course of plastic deformation are closely related to the evolution of spatial characteristics of shear band (the Portevin Le Chatelier band) patterns observed in experiments.
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