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The cosserat continuum, a model for grain rotations in metals?

โœ Scribed by W. Diepolder; V. Mannl; H. Lippman

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
798 KB
Volume
7
Category
Article
ISSN
0749-6419

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โœฆ Synopsis

Torsional experiments with aluminum cylinders and tubes were carried out, and the grain rotations were measured by means of the v. Laue method. Despite a large scattering of the results the tendency of the rotations relative to the mean rotation of the displacement field is unique. The average value of the grain rotations agrees in a satisfactory manner with the predictions made from the point of view of a rigid/plastic Cosserat model. This holds true for an isotropic initial state of the material. It is unknown whether a modification of the Cosserat model would become necessary or not, should a textural anisotropy exist. As a side result, the difference between the v. Mises and the Tresca yield criterion is illustrated at the basis of the cylindrical and tubular specimens used in the tests.

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A new dislocation model for symmetric tilt grain boundaries was developed as a basis for deriving the quantitative dependence of grain-boundary energy upon misorientation angle in the form of an expression similar to that given by Read and Shockley [I]. The range of applicability of this equation wa