Using the simple compression test to determine Young’s modulus, Poisson’s ratio and the Coulomb friction coefficient

Analytical 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 (10−2–103), and thus degrees of constraint for the cylinders. The apparent moduli are shown to be strong functions of both ν and μ and the solutions thus provide schemes for finding both parameters experimentally using inverse methods. This is demonstrated by using the FE results as such data to explore how many tests, and what aspect ratios, are needed. Some preliminary experimental results are also given.