{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/22677"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/22677","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Axisymmetric stress wave propagation in weakly coupled layered structures: Analytical and computational studies","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Cetinkaya, Cetin"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Aerospace Engineering","degree_department":null,"school":null,"contributors":["Vakakis, Alexander F."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:47:46Z","date_published":"2011-05-07T13:47:46Z","updated_at":"2026-07-22T22:25:20Z","subjects":["Applied Mechanics","Engineering, Aerospace","Engineering, Mechanical"],"languages":["eng"],"rights":["Copyright 1994 Cetinkaya, Cetin"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9543548","(UMI)AAI9543548"],"render_values":[{"text":"AAI9543548","href":null,"code":true},{"text":"(UMI)AAI9543548","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/22677","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Vakakis, Alexander F."]},{"key":"dc:creator","label":"Author","values":["Cetinkaya, Cetin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:47:46Z","10000-01-01","1994"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Aerospace Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Applied Mechanics","Engineering, Aerospace","Engineering, Mechanical"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1994 Cetinkaya, Cetin"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9543548","(UMI)AAI9543548","http://hdl.handle.net/2142/22677"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Made available in DSpace on 2011-05-07T13:47:46Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9543548.pdf: 7599038 bytes, checksum: 27226afcba27ef6789525c9028cabd86 (MD5) Previous issue date: 1994","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:59:15Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:27:55-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Axisymmetric stress wave propagation in weakly coupled layered structures: Analytical and computational studies"]}]}],"canonical_facts":{"dc:contributor":["Vakakis, Alexander F."],"dc:creator":["Cetinkaya, Cetin"],"dc:date":["2011-05-07T13:47:46Z","10000-01-01","1994"],"dc:description":["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.","Made available in DSpace on 2011-05-07T13:47:46Z (GMT). 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