{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/87311"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/87311","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Interlaminar stresses in composite laminates: a perturbation analysis","abstract":"A general method of solution for an elastic balanced symmetric composite laminate subject to a uniaxial extension has been developed based upon a perturbation analysis of a limiting free body containing an interfacial plane. The solution satisfies more physical requirements and boundary conditions than previous investigations, predicts smooth continuous interlaminar stresses with no instabilities, determines the finite maximum intensity for the interlaminar normal stress σ<sub>𝒛</sub> in all laminates, provides mathematical evidences for the singular stresses τ<sub>xz</sub> and τ<sub>yz</sub> in angle-ply laminates, suggests the need for the experimental determination of an important problem parameter, and introduces a viable means for solving related problems of practical interest. The results indicate that for bidirectional laminates, the sign of σ<sub>𝒛</sub> depends upon the stacking sequence, while for angle-ply laminates is σ<sub>𝒛</sub> independent of the stacking sequence and is always a finite maximum tensile value at the free edge. Moreover, the results for bidirectional laminates compare favorably with Pipes’ finite difference solution. On the other hand, the results for the angle-ply laminates reveal that the present analysis has attained an improved solution for all interlaminar stresses. Typical results are presented for graphite-epoxy laminates.","abstract_html":"A general method of solution for an elastic balanced symmetric composite laminate subject to a uniaxial extension has been developed based upon a perturbation analysis of a limiting free body containing an interfacial plane. The solution satisfies more physical requirements and boundary conditions than previous investigations, predicts smooth continuous interlaminar stresses with no instabilities, determines the finite maximum intensity for the interlaminar normal stress σ&lt;sub&gt;𝒛&lt;/sub&gt; in all laminates, provides mathematical evidences for the singular stresses τ&lt;sub&gt;xz&lt;/sub&gt; and τ&lt;sub&gt;yz&lt;/sub&gt; in angle-ply laminates, suggests the need for the experimental determination of an important problem parameter, and introduces a viable means for solving related problems of practical interest. The results indicate that for bidirectional laminates, the sign of σ&lt;sub&gt;𝒛&lt;/sub&gt; depends upon the stacking sequence, while for angle-ply laminates is σ&lt;sub&gt;𝒛&lt;/sub&gt; independent of the stacking sequence and is always a finite maximum tensile value at the free edge. Moreover, the results for bidirectional laminates compare favorably with Pipes’ finite difference solution. On the other hand, the results for the angle-ply laminates reveal that the present analysis has attained an improved solution for all interlaminar stresses. Typical results are presented for graphite-epoxy laminates.","abstract_has_math":false,"creators":["Hsu, Peter Wenhan"],"institution":"Virginia Polytechnic Institute and State University","degree_name":"Ph. D.","degree_level":"doctoral","degree_discipline":"Engineering Mechanics","degree_department":"Engineering Mechanics","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1976,"date_issued":"1976","date_published":"1976","updated_at":"2026-07-22T22:19:13Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/87311","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Engineering Mechanics"]},{"key":"dc:creator","label":"Author","values":["Hsu, Peter Wenhan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2019-01-31T19:03:50Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2019-01-31T19:03:50Z"]},{"key":"dc:date.issued","label":"Date","values":["1976"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Engineering Mechanics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/87311"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A general method of solution for an elastic balanced symmetric composite laminate subject to a uniaxial extension has been developed based upon a perturbation analysis of a limiting free body containing an interfacial plane. The solution satisfies more physical requirements and boundary conditions than previous investigations, predicts smooth continuous interlaminar stresses with no instabilities, determines the finite maximum intensity for the interlaminar normal stress σ<sub>𝒛</sub> in all laminates, provides mathematical evidences for the singular stresses τ<sub>xz</sub> and τ<sub>yz</sub> in angle-ply laminates, suggests the need for the experimental determination of an important problem parameter, and introduces a viable means for solving related problems of practical interest. The results indicate that for bidirectional laminates, the sign of σ<sub>𝒛</sub> depends upon the stacking sequence, while for angle-ply laminates is σ<sub>𝒛</sub> independent of the stacking sequence and is always a finite maximum tensile value at the free edge. Moreover, the results for bidirectional laminates compare favorably with Pipes’ finite difference solution. On the other hand, the results for the angle-ply laminates reveal that the present analysis has attained an improved solution for all interlaminar stresses. Typical results are presented for graphite-epoxy laminates."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph. D."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Interlaminar stresses in composite laminates: a perturbation analysis"]}]}],"canonical_facts":{"dc:contributor.department":["Engineering Mechanics"],"dc:creator":["Hsu, Peter Wenhan"],"dc:date.accessioned":["2019-01-31T19:03:50Z"],"dc:date.available":["2019-01-31T19:03:50Z"],"dc:date.issued":["1976"],"dc:description.abstract":["A general method of solution for an elastic balanced symmetric composite laminate subject to a uniaxial extension has been developed based upon a perturbation analysis of a limiting free body containing an interfacial plane. The solution satisfies more physical requirements and boundary conditions than previous investigations, predicts smooth continuous interlaminar stresses with no instabilities, determines the finite maximum intensity for the interlaminar normal stress σ<sub>𝒛</sub> in all laminates, provides mathematical evidences for the singular stresses τ<sub>xz</sub> and τ<sub>yz</sub> in angle-ply laminates, suggests the need for the experimental determination of an important problem parameter, and introduces a viable means for solving related problems of practical interest. The results indicate that for bidirectional laminates, the sign of σ<sub>𝒛</sub> depends upon the stacking sequence, while for angle-ply laminates is σ<sub>𝒛</sub> independent of the stacking sequence and is always a finite maximum tensile value at the free edge. Moreover, the results for bidirectional laminates compare favorably with Pipes’ finite difference solution. On the other hand, the results for the angle-ply laminates reveal that the present analysis has attained an improved solution for all interlaminar stresses. Typical results are presented for graphite-epoxy laminates."],"dc:description.degree":["Ph. D."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/10919/87311"],"dc:language.iso":["en"],"dc:publisher":["Virginia Polytechnic Institute and State University"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["Interlaminar stresses in composite laminates: a perturbation analysis"],"dc:type":["Dissertation"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Engineering Mechanics"],"thesis:degree_level":["doctoral"],"thesis:degree_name":["Ph. D."],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:19:13Z"}