A dynamical (time-harmonic) axisymmetric stress field in a finitely prestretched multilayered slab on a rigid foundation |
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Authors: | A D Zamanov T R Suleimanov S D Akbarov |
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Institution: | (1) Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, 370141 Baku, Azerbaijan;(2) Faculty of Chemistry and Metallurgy, Department of Mathematical Engineering, Yildiz Technical University, Davutpasa campus No.127, 34210 Topkapi, Istanbul, Turkey |
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Abstract: | Within the framework of a piecewise homogeneous body model, with the use of the three-dimensional linearized theory of elastic
waves in initially stressed bodies, the dynamical (time-harmonic) axisymmetric stress field in a finitely prestretched multilayered
slab resting on a rigid foundation is studied. It is assumed that the slab consists of two-layer packets. The elasticity of
layer materials is described by the Treloar potential. It is assumed that the material of the lower layer in the packets is
more rigid than that of the upper one. Numerical results are presented for the cases where the number of layers (packets)
in the slab is 2 (1), 4 (2), or 6 (3). These results concern the normal stresses acting on the interface between the layers
of the first, upper packet and on the interface between the first and second packets. The influence of the number, prestretch
level, and thickness of the layers on relation ships between the stresses and the frequency of the external force is analyzed.
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 42, No. 5, pp. 667–680, September–October, 2006. |
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Keywords: | forced vibration multilayered slab finite prestretching stress distribution incompressible material |
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