Evaluation of transverse Poisson's ratios in thin orthotropic plates by the optical method of pseudocaustics

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Evaluation of transverse Poisson's ratios in thin orthotropic plates by the optical method of pseudocaustics (EN)

Theocaris, PS (EN)
Philippidis, TP (EN)

journalArticle (EN)

2014-03-01T01:08:48Z
1992 (EN)


An analytical treatment of the optical mapping produced by deviated light rays impinging on a perforated orthotropic plate revealed the possibility of proceeding to a direct measurement of transverse Poisson's ratios. This was accomplished theoretically by correlating the transverse, Dt, and longitudinal, D1, diameters of the pseudocaustic curve created by the boundary of an elliptic opening in a uniaxially tensioned plate of an orthotropic material with the transverse components of the compliance tensor. The theoretical foundation of the method was based on the exact closed-form solution of the geometry under consideration given by Lekhnitskii and Savin. It was shown that both the dimensions and the shape of the pseudocaustic curve are drastically affected by changes in the values of transverse Poisson's ratios. Thus, the method constitutes a powerful and perhaps unique device for evaluating characteristic parameters related to the thickness of the plate representing the stress field by measuring characteristic lengths along a plane parallel to the middle plane of the plate. Finally, by means of the proposed method one can readily establish the local material principal directions for a solid plate of unknown elastic symmetry and directions of principal axes. © 1992. (EN)

Materials Science, Composites (EN)

anisotropic medium (EN)
engineering elastic constants (EN)
Stresses (EN)
Composite Materials (EN)
paper elasticity (EN)
caustics (EN)
optical mapping (EN)
Orthotropic Plates (EN)
Pseudocaustics (EN)
Poisson's ratio (EN)
Transverse Poisson's Ratios (EN)
Plates (EN)

Composites Science and Technology (EN)

English

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