Processes of inhomogeneous deformation which lead to localized necking in biaxial stretching have been investigated in sheets of copper, Cu-30 pct Zn brass and low-carbon steels of good commercial quality without strongly developed preferred orientations. With sheet thickness,to, in the range 0.4 to 1.2 mm, it was found that limit strains in biaxial stretching decreased with decreasingto/do, wheredo is average grain diameter. It was concluded that, whento/do was less than about 20, plastic anistropy of individual grains of the primary phase was the dominant source of the strain inhomogeneities which developed to cause eventual necking failure. Measurement of the rate at which surface roughness developed with increasing strain,dR’/d- ge, indicated that, in the early stages of stretching, the growth of thickness inhomogeneity was close to being proportional todo and -ge and it was insensitive toto and the applied strain ratio, p, but, at an applied strain -gem which depended onto anddo, dR /d- ge started to increase progressively. In this latter phase of the process strain localization developed on a macroscopic scale. It is concluded that the dependence of -gem onto underlies the effects of sheet thickness on biaxial limit strains, also that the influence of p on the rate of growth of thickness inhomogeneities can change progressively during the evolution of strain localization through the microstructural and macroscopic phases.
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