Analysis of Strain Dependent Damping in Materials via Modeling of Material Point Hysteresis
2006
Graesser, E. J. | Wong, C. R.
A constitutive relationship was used to model the cyclic material response of damping test samples in separate bending and torsion configurations. This was done in order to better understand variations in reported values of damping for materials possessing strain dependent characteristics. The constitutive equations are based on a model of shape memory alloy stress strain behavior and have been adapted especially for the study of nonlinear hysteresis and the problem of strain dependent damping. Experimental measurements and analytical material response analyses of separate bending and torsion test samples indicated that when the damping of a single nonlinear material is plotted against the one-dimensional local strain of the sample, results are produced which are difficult to compare. However, when the same results are plotted against an invariant measure of three dimensional distortion the means by which one may compare the data is more straightforward. Also, the approach allows for a quantitative comparison of the damping at a material point to the overall damping. The method can be applied to any homogeneous isotropic nonlinear damping material.
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