Axisymmetric stress wave propagation in weakly coupled layered structures: Analytical and computational studies

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Aerospace Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Cetinkaya, Cetin

Contributors dc:contributor

• Vakakis, Alexander F.

• Applied Mechanics
• Engineering, Aerospace
• Engineering, Mechanical

Statement dc:rights

• Copyright 1994 Cetinkaya, Cetin

Language dc:language

eng

Identifier

AAI9543548
(UMI)AAI9543548

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22677