Abstract
The distortional wave histories resulting from torsional impact tests on a cylindrical tube of PMMA (polymethyl methacrylate) are resolved into Fourier components in order to determine the complex shear compliance and the viscoelastic model for shear response. In a similar manner, the complex tensile compliance and the associated model are obtained from the analysis of longitudinal impact tests. The results reveal that the 3-element solid model can be applied to the behavior of the material both in shear and in tension over a wide frequency range. By employing the correspondence relation between linear elasticity and linear viscoelasticity, a complex Poisson's ratio and a complex bulk modulus are determined based on the shear and tensile compliances. It is found that the dilatational behavior may be approximated by an elastic prediction and that the relationship between the longitudinal and lateral response is also elastic. As a consequence, it is confirmed that the viscous feature of the material should mainly arise from the shear properties.
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