2008
DOI: 10.1016/j.ijsolstr.2008.03.023
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Using the simple compression test to determine Young’s modulus, Poisson’s ratio and the Coulomb friction coefficient

Abstract: a b s t r a c tAnalytical solutions are derived for the compression of cylinders with bonded surfaces and with Coulomb friction conditions at the interfaces. The bonded solution assumes that the radial displacement is linearly dependent on radius which leads to simple forms. These are compared with FE data and the apparent modulus is found to be within about 8% for the whole range of aspect ratios (10 À2 -10 3 ), and thus degrees of constraint for the cylinders. The apparent moduli are shown to be strong funct… Show more

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Cited by 49 publications
(37 citation statements)
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“…As a result the rubber is compressed and it expands laterally; this is called the "barrelling effect". Previous works have determined the analytical solution of this deformation for an elastic material [8], [28], [29]. However, the solution for more complicated material models (such as viscoelastic and hyperelastic) is not trivial.…”
Section: Bonded Compression Testmentioning
confidence: 99%
“…As a result the rubber is compressed and it expands laterally; this is called the "barrelling effect". Previous works have determined the analytical solution of this deformation for an elastic material [8], [28], [29]. However, the solution for more complicated material models (such as viscoelastic and hyperelastic) is not trivial.…”
Section: Bonded Compression Testmentioning
confidence: 99%
“…However, the generation of undesirable friction at the specimen/platen interface is unavoidable during compression tests at quasistatic and dynamic loading conditions. Williams and Gamonpilas (2008) derived analytical solutions for the compression of cylinders with bonded surfaces and with Coulomb friction conditions at the interfaces. It was shown that the apparent moduli were strong functions of Poisson's ratio and of the Coulomb friction coefficients.…”
Section: Introductionmentioning
confidence: 99%
“…23 The elastic modulus (E) can be calculated from E a , the Poisson's ratio ν and the shape factor S, which is defined as the radius divided by the height in the case of cylindrical samples. 24 In the top, a clear variation in the length of A35 before and after compression is observed, while variations in the length of A90 were not evident at the naked eye. Small differences in the images for A90 before and after compression are caused by the different angle at which the photo was taken.…”
Section: Mechanical Propertiesmentioning
confidence: 94%