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Remarks on a paper by Yu Chen

✍ Scribed by J. Golecki

Publisher: Elsevier Science
Year: 1968
Tongue: English
Weight: 148 KB
Volume: 286
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(68)90509-7

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✦ Synopsis

Chenl in a paper in this journal gives the solution to the problem of a nonhomogeneous, isotropic, linear elastic thick cylinder under uniform pressure, in the case when Poisson's ratio (v) is a constant and Young's modulus (E) varies radially according to certain square laws. Special attention has been given by the author to the incompressible case for a comparison with known results (1). From this comparison, Chen drew an incorrect conclusion which disproves the former findings of (1)) on the determination of a displacement field. This part of Chen's paper needs explanation.

In the paper (1) the plane state of strain of a non-homogeneous, isotropic, incompressible, linear elastic body is considered. The solution is derived by the displacement functions and the stress function methods. The displacement functions method is applied to the problem of a thick cylinder under uniform pressure, when the shear modulus (G) is expressed as,

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