{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/50597"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/50597","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Geometrically Nonlinear Stress Recovery in Composite Laminates","abstract":"Composite laminates are increasingly being used as primary load bearing members in
structures. However, because of the directional dependence of the properties of
composite materials, additional failure modes appear that are absent in
homogeneous, isotropic materials. Therefore, a stress analysis of a composite
laminate is not complete without an accurate representation of the transverse
(out-of-plane) stresses.
Stress recovery is a common method to estimate the transverse stresses from a
plate or shell analysis. This dissertation extends stress recovery to problems
in which geometric nonlinearities, in the sense of von K\\\\\\'{a}rm\\\\\\'{a}n, are
important. The current work presents a less complex formulation for the stress
recovery procedure for plate geometries, compared with other implementations,
and results in a post-processing procedure which can be applied to data from
any plate analyses; analytical or numerical methods, resulting in continuous or
discretized data.
Recovered transverse stress results are presented for a variety of
geometrically nonlinear example problems: a semi-infinite plate subjected to
quasi-static transverse and shear loading, and a finite plate subjected to both
quasi-static and dynamic transverse loading. For all cases, the corresponding
results from a fully three-dimensional stress analysis are shown alongside the
distributions from the stress recovery procedure. Good agreement is observed
between the stresses obtained from each method for the cases considered.
Discussion is included regarding the applicability and accuracy of the
technique to varying plate geometries and varying degrees of nonlinearity, as
well as the viability of the procedure in replacing a three-dimensional
analysis in regard to the time required to obtain a solution.
The proposed geometrically nonlinear stress recovery procedure results in
estimations for transverse stresses which show good correlation to the
three-dimensional finite element solutions. The procedure is accurate for
quasi-static and dynamic loading cases and proves to be a viable replacement
for more computationally expensive analyses.","abstract_html":"Composite laminates are increasingly being used as primary load bearing members in<br />structures. However, because of the directional dependence of the properties of<br />composite materials, additional failure modes appear that are absent in<br />homogeneous, isotropic materials. Therefore, a stress analysis of a composite<br />laminate is not complete without an accurate representation of the transverse<br />(out-of-plane) stresses.<br /><br />Stress recovery is a common method to estimate the transverse stresses from a<br />plate or shell analysis. This dissertation extends stress recovery to problems<br />in which geometric nonlinearities, in the sense of von K\\\\\\'{a}rm\\\\\\'{a}n, are<br />important. The current work presents a less complex formulation for the stress<br />recovery procedure for plate geometries, compared with other implementations,<br />and results in a post-processing procedure which can be applied to data from<br />any plate analyses; analytical or numerical methods, resulting in continuous or<br />discretized data.<br /><br />Recovered transverse stress results are presented for a variety of<br />geometrically nonlinear example problems: a semi-infinite plate subjected to<br />quasi-static transverse and shear loading, and a finite plate subjected to both<br />quasi-static and dynamic transverse loading. For all cases, the corresponding<br />results from a fully three-dimensional stress analysis are shown alongside the<br />distributions from the stress recovery procedure. Good agreement is observed<br />between the stresses obtained from each method for the cases considered.<br />Discussion is included regarding the applicability and accuracy of the<br />technique to varying plate geometries and varying degrees of nonlinearity, as<br />well as the viability of the procedure in replacing a three-dimensional<br />analysis in regard to the time required to obtain a solution.<br /><br />The proposed geometrically nonlinear stress recovery procedure results in<br />estimations for transverse stresses which show good correlation to the<br />three-dimensional finite element solutions. The procedure is accurate for<br />quasi-static and dynamic loading cases and proves to be a viable replacement<br />for more computationally expensive analyses.","abstract_has_math":false,"creators":["Hartman, Timothy Benjamin"],"institution":"Virginia Tech","degree_name":"Ph. D.","degree_level":"doctoral","degree_discipline":"Engineering Mechanics","degree_department":"Engineering Science and Mechanics","school":null,"contributors":[],"advisors":[],"committee_chairs":["Case, Scott W.","Hyer, Michael W."],"committee_members":["Batra, Romesh C.","West, Robert L.","Ross, Shane D."],"year":2013,"date_issued":"2013-05-01","date_published":"2013-05-01","updated_at":"2026-07-22T22:19:35Z","subjects":["composite laminate","stress recovery","geometrically nonlinear","transverse stress","interlaminar stress"],"languages":[],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["vt_gsexam:769"],"render_values":[{"text":"vt_gsexam:769","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/50597","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Case, Scott W.","Hyer, Michael W."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Batra, Romesh C.","West, Robert L.","Ross, Shane D."]},{"key":"dc:contributor.department","label":"Department","values":["Engineering Science and Mechanics"]},{"key":"dc:creator","label":"Author","values":["Hartman, Timothy Benjamin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-10-24T06:00:32Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-10-24T06:00:32Z"]},{"key":"dc:date.issued","label":"Date","values":["2013-05-01"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Tech"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]},{"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":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["composite laminate","stress recovery","geometrically nonlinear","transverse stress","interlaminar stress"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"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.other","label":"Dc Identifier Other","values":["vt_gsexam:769"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/50597"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Composite laminates are increasingly being used as primary load bearing members in
structures. However, because of the directional dependence of the properties of
composite materials, additional failure modes appear that are absent in
homogeneous, isotropic materials. Therefore, a stress analysis of a composite
laminate is not complete without an accurate representation of the transverse
(out-of-plane) stresses.
Stress recovery is a common method to estimate the transverse stresses from a
plate or shell analysis. This dissertation extends stress recovery to problems
in which geometric nonlinearities, in the sense of von K\\\\\\'{a}rm\\\\\\'{a}n, are
important. The current work presents a less complex formulation for the stress
recovery procedure for plate geometries, compared with other implementations,
and results in a post-processing procedure which can be applied to data from
any plate analyses; analytical or numerical methods, resulting in continuous or
discretized data.
Recovered transverse stress results are presented for a variety of
geometrically nonlinear example problems: a semi-infinite plate subjected to
quasi-static transverse and shear loading, and a finite plate subjected to both
quasi-static and dynamic transverse loading. For all cases, the corresponding
results from a fully three-dimensional stress analysis are shown alongside the
distributions from the stress recovery procedure. Good agreement is observed
between the stresses obtained from each method for the cases considered.
Discussion is included regarding the applicability and accuracy of the
technique to varying plate geometries and varying degrees of nonlinearity, as
well as the viability of the procedure in replacing a three-dimensional
analysis in regard to the time required to obtain a solution.
The proposed geometrically nonlinear stress recovery procedure results in
estimations for transverse stresses which show good correlation to the
three-dimensional finite element solutions. The procedure is accurate for
quasi-static and dynamic loading cases and proves to be a viable replacement
for more computationally expensive analyses."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph. D."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["ETD"]},{"key":"dc:title","label":"Title","values":["Geometrically Nonlinear Stress Recovery in Composite Laminates"]}]}],"canonical_facts":{"dc:contributor.committeechair":["Case, Scott W.","Hyer, Michael W."],"dc:contributor.committeemember":["Batra, Romesh C.","West, Robert L.","Ross, Shane D."],"dc:contributor.department":["Engineering Science and Mechanics"],"dc:creator":["Hartman, Timothy Benjamin"],"dc:date.accessioned":["2014-10-24T06:00:32Z"],"dc:date.available":["2014-10-24T06:00:32Z"],"dc:date.issued":["2013-05-01"],"dc:description.abstract":["Composite laminates are increasingly being used as primary load bearing members in
structures. However, because of the directional dependence of the properties of
composite materials, additional failure modes appear that are absent in
homogeneous, isotropic materials. Therefore, a stress analysis of a composite
laminate is not complete without an accurate representation of the transverse
(out-of-plane) stresses.
Stress recovery is a common method to estimate the transverse stresses from a
plate or shell analysis. This dissertation extends stress recovery to problems
in which geometric nonlinearities, in the sense of von K\\\\\\'{a}rm\\\\\\'{a}n, are
important. The current work presents a less complex formulation for the stress
recovery procedure for plate geometries, compared with other implementations,
and results in a post-processing procedure which can be applied to data from
any plate analyses; analytical or numerical methods, resulting in continuous or
discretized data.
Recovered transverse stress results are presented for a variety of
geometrically nonlinear example problems: a semi-infinite plate subjected to
quasi-static transverse and shear loading, and a finite plate subjected to both
quasi-static and dynamic transverse loading. For all cases, the corresponding
results from a fully three-dimensional stress analysis are shown alongside the
distributions from the stress recovery procedure. Good agreement is observed
between the stresses obtained from each method for the cases considered.
Discussion is included regarding the applicability and accuracy of the
technique to varying plate geometries and varying degrees of nonlinearity, as
well as the viability of the procedure in replacing a three-dimensional
analysis in regard to the time required to obtain a solution.
The proposed geometrically nonlinear stress recovery procedure results in
estimations for transverse stresses which show good correlation to the
three-dimensional finite element solutions. The procedure is accurate for
quasi-static and dynamic loading cases and proves to be a viable replacement
for more computationally expensive analyses."],"dc:description.degree":["Ph. D."],"dc:format.medium":["ETD"],"dc:identifier.other":["vt_gsexam:769"],"dc:identifier.uri":["http://hdl.handle.net/10919/50597"],"dc:publisher":["Virginia Tech"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:subject":["composite laminate","stress recovery","geometrically nonlinear","transverse stress","interlaminar stress"],"dc:title":["Geometrically Nonlinear Stress Recovery in Composite Laminates"],"dc:type":["Dissertation"],"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":"2026-07-22T22:19:35Z"}