Abstract
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.
References (9)
1. Yu. G. Dragunov, S. V. Evropin. Atomic energy, 3, 145 - 155 (2015).
2. L. V. Sergeeva. Atomic energy. 3, 157 - 160 (2008).
3. A. M. Dmitriev, O. Y. Kavun, M. G. Masenko. Atomic energy. 5, 273 - 279 (2011).
4. Release 16.2 Documentation for ANSYS [electronic document] / ANSYS Inc. Electronic data and software (104019 files: 10660130531 bytes).
5. NAFEMS search engineering analysis and simulation - FEA, Finite Element Analysis, CFD, Computational Fluid Dynamics, and Simulation. NAFEMS Ltd., Hamilton, United Kingdom. (2016).
6. N. M. Belyaev. Mechanics of materials. M.: «Nauka». 1965. 856 p. (in Russian) [Н. М. Беляев. Сопротивление материалов. М.: «Наука». 1965. 856 с.].
7. M. A. Sutton, J. J. Orteu, H. W. Schreier. Image Correlation for Shape, Motion and Deformation Measurements: basic concepts, theory and applications. Springer. P.321. (2009).
8. Y. V. Goltsev. Mechanical testing methods and mechanical properties of materials. Textbook. Moscow: MEPhI, 2012. 228 p. (in Russian) [В. Ю. Гольцев Методы механических испытаний и механические свойства материалов. Учебное пособие. М.: МИФИ, 2012. 228 с.].
9. E. N. Marmer. Carbon and graphite materials. M.: «Metallurgy». 1973. 135 p. (in Russian) [Э. Н. Мармер Углеграфитовые материалы. М.: «Металлургия». 1973. 135 с.].