An analysis of methods of determination of strain using dividing grids |
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Authors: | M. G. Zelin M. V. Aleksandrova |
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Affiliation: | (1) Institute of Problems of Superplasticity of Metals, Academy of sciences of the USSR, Ufa |
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Abstract: | Various methods of calculation of the components of the tensor of strains ij from the displacements of the nodes of the dividing grid Uij are analyzed, including by the method of approximation by polynomials of the power n=1–5, smoothing of Uij, and approximation of polynomials of the powern=5–7 and by methods of finite elements and numerical differentiation. A comparison of the calculated data with the results of experimental measurement of the field of local strains in Mg-1.5% Mn-0.3% Ce alloy with a grain size of 100 m using a grid with a base of 50 m showed that the method of finite-element approximation most adequately reflects the real picture of distribution of strains ij. Statistical parameters characterizing the field of ij are discussed.Translated from Problemy Prochnosti, No. 4, pp. 11–16, April, 1991. |
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