Calculation of rigidly clamped circular plates in the statement of the problem on contact interaction in a two-layer package |
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Authors: | V I Zubko |
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Institution: | (1) Pidstryhach Institute of Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Ivano-Frankovsk, Ukraine |
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Abstract: | The use of a mechanicomathematical model of bending of thick transversely isotropic plates is illustrated, where the plate
is divided in an arbitrary number of equally thick conditional layers. This model allows one to approximately reduce the problem
of determination of stresses and displacements in the thick plate to a corresponding contact problem for a bent pack age of
layers. The axisymmetric bending of a rigidly clamped package consisting of two plates rigidly fastened together is considered.
The results of numerical calculations are presented, which are compared with those obtained within the framework of a refined
bending model of plates (with account of transverse compression and shear) and of the Timoshenko model, as well as in the
statement of the three-dimensional theory of elasticity. The accuracy of satisfying the boundary conditions in each model
is analyzed.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 43, No. 1, pp. 93–108, January–February, 2007. |
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Keywords: | transversely isotropic plate layer package rigid contact conditions contact stresses stress-strain state |
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