Axisymmetric stress wave propagation in weakly coupled layered structures: Analytical and computational studies
Cetinkaya, Cetin
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https://hdl.handle.net/2142/22677
Description
Title
Axisymmetric stress wave propagation in weakly coupled layered structures: Analytical and computational studies
Author(s)
Cetinkaya, Cetin
Issue Date
1994
Doctoral Committee Chair(s)
Vakakis, Alexander F.
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Engineering, Aerospace
Engineering, Mechanical
Language
eng
Abstract
Stress wave propagation in layered systems with infinite and finite numbers of isotropic layers is investigated. A transfer matrix formulation for the axisymmetric problem is developed using a double integral transform technique and a symbolic algebra system. The propagation and attenuation zones of one- and two-dimensional layered media are studied by employing both analytical and computational methods. The effect of weak coupling between layers on the structure of propagation zones is analyzed in both the transformed (frequency-radial wavenumber) and real (temporal-spatial) domains. It is shown that the structure of the propagation zones is controlled by a limited number of physical parameters. The transient responses of the finite one- and two-dimensional systems are computed by inverting the double integral transformations. For verification purposes, a finite element analysis is also performed, and the finite element results are compared to those of the double integral transform. It is shown that, in weakly coupled layered systems with narrow propagation zones in the transformed domain, the transient waves are localized close to the circular area where the load is applied. As the coupling between layers increases, the transmission of stress waves through the layered medium is enhanced, and stress localization diminishes. It is found that weak coupling between layers affects the values and the distribution of the shear stress field more than those of the longitudinal stress field. The connection between the delamination of composite materials under dynamics load and this finding is examined.
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