Higher order elastic constants and non-linear stress-strain relation for V3Si |
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Authors: | GR Barsch |
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Institution: | Materials Research Laboratory and Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, U.S.A. |
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Abstract: | Relations for the third and fourth order elastic constants are derived from a Landau-Devonshire type free energy function for crystals with the A15 structure which undergo the structural transformation at low temperature. Application to transforming V3Si at 21° K gives in connection with experimental data for the pressure derivatives of the elastic constants unusually large numerical values for c111, c112, c123 and c1111. The stress-' strain relation calculated from these data is in semiquantitative agreement with the directly measured, strongly non-linear behavior. |
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