Analysis of axisymmetric phase strains in plates and shells |
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Authors: | L I Shkutin |
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Affiliation: | (1) Institute of Computational Modeling, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 660036 |
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Abstract: | The axisymmetric strain problem for a shell in the direct phase transformation interval is formulated approximately as a nonlinear
boundary-value thermoelastic problem with an implicit temperature dependence (through a phase parameter simulating the volume
fraction of the new-phase crystals). The buckling problems for a circular plate and a shallow spherical dome of TiNi alloy
loaded by normal pressure in the direct phase transformation interval are solved numerically. The branches of buckled equilibrium
states are obtained for various values of the loading and phase parameters. It is found that the deflections increase abruptly
with an increase in the phase parameter for a fixed value of the loading parameter. The evolution of the buckling modes and
the phase-strain distribution along the meridian are studied.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 2, pp. 163–171, March–April, 2007. |
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Keywords: | shape-memory alloys phase transformations phase strains plates shells buckling numerical analysis |
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