Determination of the material elasticity modulus in bending

A.V. Osintsev, V. Goltsev, A. Plotnikov show affiliations and emails
Received 27 February 2017; Accepted 29 March 2017;
This paper is written in Russian
Citation: A.V. Osintsev, V. Goltsev, A. Plotnikov. Determination of the material elasticity modulus in bending. Lett. Mater., 2017, 7(2) 91-95


The beam bend theory allows calculation of material elasticity modulus (EM) based on the ratio of distance between the supports to the height of the sample cross-section (l/h) and the values of specimen points displacements induced by load. We used computational and experimental approaches to definite range of l/h allowing correct EM calculation. In computer simulations performed in ANSYS Mechanical 16.2 at a given EM and at a range of l/h – vertical displacements at six points along the external side of the sample in sections under the load and above the support beams were predicted. These displacements were used to re-compute the EM using the formulas of the beam bend theory. Similar measurements were performed in experiment steel and graphite samples. Specifically – samples were loaded under the scheme of three-point bending and the measurements of the displacements on the surface of the sample were obtained by digital image correlation method. Accordingly the EM was computed using the beam bend theory method. No association between the strength characteristics of the investigated materials (as determined during the bending test) and the l/h was found. Yet a good agreement between the EM values obtained by modeling and experimental approach was observed. The effect of l/h on the accuracy of the EM calculation was estimated. Significant correlation between the EM obtained in this study (both by modeling and experiment) and its known values for the examined materials was obtained when l/h>7.

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