Some Implications of Noncoaxiality in Finite Deformations

[+] Author and Article Information
T. C. Hsu

University of Aston, Gosta Green, Birmingham, England

J. Eng. Mater. Technol 95(2), 87-93 (Apr 01, 1973) (7 pages) doi:10.1115/1.3443137 History: Received July 31, 1972; Online August 17, 2010


Two-dimensional finite deformations are analyzed by factoring and multiplying the matrices of the linear transformations representing them. A general linear transformation consists of a pure shear, a uniform dilation, and a rigid-body rotation. Coaxiality is defined for finite deformations and its effect on the resultant distortion discussed. Tests for coaxiality are devised for use on rectangular grids which are often employed in metal forming research. Formulas are derived for the initial and final directions of the resultant major principal axis in both equal and unequal noncoaxial pure shears and, in particular, conditions are found for the constancy of distortion in the second deformation.

Copyright © 1973 by ASME
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