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On Poisson’s Ratio in Linearly Viscoelastic Solids

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Abstract

Poisson’s ratio in viscoelastic solids is in general a time dependent (in the time domain) or a complex frequency dependent quantity (in the frequency domain). We show that the viscoelastic Poisson’s ratio has a different time dependence depending on the test modality chosen; interrelations are developed between Poisson’s ratios in creep and relaxation. The difference, for a moderate degree of viscoelasticity, is minor. Correspondence principles are derived for the Poisson’s ratio in transient and dynamic contexts. The viscoelastic Poisson’s ratio need not increase with time, and it need not be monotonic with time. Examples are given of material microstructures which give rise to designed time dependent Poisson’s ratios.

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Authors and Affiliations

  1. Department of Engineering Physics, Engineering Mechanics Program, University of Wisconsin – Madison, 541 Engineering Research Building, 1500 Engineering Drive, Madison, WI, 53706-1687, USA

    R. S. Lakes

  2. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 48109, USA

    A. Wineman

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  1. R. S. Lakes
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  2. A. Wineman
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Correspondence to R. S. Lakes.

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Lakes, R.S., Wineman, A. On Poisson’s Ratio in Linearly Viscoelastic Solids. J Elasticity 85, 45–63 (2006). https://doi.org/10.1007/s10659-006-9070-4

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  • DOI: https://doi.org/10.1007/s10659-006-9070-4

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