Interpretation of experimental data for Poisson's ratio of highly nonlinear materials |
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Authors: | C W Smith R J Wootton K E Evans |
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Institution: | (1) Department of Engineering, University of Exeter, EX4 4QF Exeter, UK;(2) School of Biological Sciences, Hatherly Laboratories, University of Exeter, EX4 4PS Exeter, UK;(3) Department of Engineering, University of Exter, EX4 4QF Exeter, UK |
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Abstract: | The Poisson's ratio of a material is strictly defined only for small strain linear elastic behavior. In practice, engineering
strains are often used to calculate Poisson's ratio in place of the mathematically correct true strains with only very small
differences resulting in the case of many engineering amterials. The engineering strain definition is often used even in the
inelastic region, for example, in metals during plastic yielding. However, for highly nonlinear elastic materials, such as
many biomaterials, smart materials and microstructured materials, this convenient extension may be misleading, and it becomes
advantageous to define a strainvarying Poisson's function. This is analogous to the use of a tangent modulus for stiffness.
An important recent application of such a Poisson's function is that of auxetic materials that demonstrate a negative Poisson's
ratio and are often highly strain dependent. In this paper, the importance of the use of a Poisson's function in appropriate
circumstances is demonstrated. Interpretation methods for coping with error-sensitive data or small strains are also described. |
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Keywords: | Engineering strain nonlinear Poisson's ratio strain dependent true strain auxetic |
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