Near-surface buckling in stability of a system consisting of a moderately rigid substrate, a viscoelastic bond layer, and an elastic covering layer |
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Authors: | S D Akbarov R Tekercioglu |
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Institution: | (1) Department of Mathematical Engineering, Yildiz Technical University, Faculty of Chemistry and Metallurgy, Davutpasa Campus No. 127, 34210 Esenler, Istanbul, Turkey;(2) Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 370141 Baku, Azerbaijan |
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Abstract: | Within the frame work of the three-dimensional linearized theory of stability of deformable bodies (TLTSDB), the near-surface
buckling instability of a system consisting of a half-plane (substrate), a viscoelastic bond layer, and an elastic covering
layer is suggested. The equations of the TLTSDB are obtained from the three-dimensional geometrically non linear equations
of viscoelasticity theory by using the boundary-form perturbation technique. By employing the Laplace transform, a method
for solving the problem is developed. It is supposed that the covering layer has an insignificant initial imperfection. The
stability of the system is considered lost if the imperfection starts to increase and grows indefinitely. Numerical results
for the critical compressive force and the critical time are presented.
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 42, No. 4, pp. 517–530, July–August, 2006. |
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Keywords: | critical time initial imperfection rheological parameters buckling instability viscoelasticity |
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