File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Yue’s solution of classical elasticity in n-layered solids: Part 2, mathematical verification

TitleYue’s solution of classical elasticity in n-layered solids: Part 2, mathematical verification
Authors
Issue Date2015
PublisherSpringer Verlag, co-published with Higher Education Press. The Journal's web site is located at http://link.springer.com/journal/11709
Citation
Frontiers of Structural and Civil Engineering, 2015, v. 9 n. 3, p. 250-285 How to Cite?
AbstractThis paper presents a detailed and rigorous mathematical verification of Yue’s approach, Yue’s treatment, Yue’s method and Yue’s solution in the companion paper for the classical theory of elasticity in n-layered solid. It involves three levels of the mathematical verifications. The first level is to show that Yue’s solution can be automatically and uniformly degenerated into these classical solutions in closed-form such as Kelvin’s, Boussinesq’s, Mindlin’s and bimaterial’s solutions when the material properties and boundary conditions are the same. This mathematical verification also gives and serves a clear and concrete understanding on the mathematical properties and singularities of Yue’s solution in n-layered solids. The second level is to analytically and rigorously show the convergence and singularity of the solution and the satisfaction of the solution to the governing partial differential equations, the interface conditions, the external boundary conditions and the body force loading conditions. This verification also provides the easy and executable means and results for the solutions in n-layered or graded solids to be calculated with any controlled accuracy in association with classical numerical integration techniques. The third level is to demonstrate the applicability and suitability of Yue’s approach, Yue’s treatment, Yue’s method and Yue’s solution to uniformly and systematically derive and formulate exact and complete solutions for other boundary-value problems, mixed-boundary value problems, and initial-boundary value problems in layered solids in the frameworks of classical elasticity, boundary element methods, elastodynamics, Biot’s theory of poroelasticity and thermoelasticity. All of such applications are substantiated by peerreviewed journal publications made by the author and his collaborators over the past 30 years.
Persistent Identifierhttp://hdl.handle.net/10722/231709
ISSN
2015 SCImago Journal Rankings: 0.411

 

DC FieldValueLanguage
dc.contributor.authorYue, QZQ-
dc.date.accessioned2016-09-20T05:25:00Z-
dc.date.available2016-09-20T05:25:00Z-
dc.date.issued2015-
dc.identifier.citationFrontiers of Structural and Civil Engineering, 2015, v. 9 n. 3, p. 250-285-
dc.identifier.issn2095-2430-
dc.identifier.urihttp://hdl.handle.net/10722/231709-
dc.description.abstractThis paper presents a detailed and rigorous mathematical verification of Yue’s approach, Yue’s treatment, Yue’s method and Yue’s solution in the companion paper for the classical theory of elasticity in n-layered solid. It involves three levels of the mathematical verifications. The first level is to show that Yue’s solution can be automatically and uniformly degenerated into these classical solutions in closed-form such as Kelvin’s, Boussinesq’s, Mindlin’s and bimaterial’s solutions when the material properties and boundary conditions are the same. This mathematical verification also gives and serves a clear and concrete understanding on the mathematical properties and singularities of Yue’s solution in n-layered solids. The second level is to analytically and rigorously show the convergence and singularity of the solution and the satisfaction of the solution to the governing partial differential equations, the interface conditions, the external boundary conditions and the body force loading conditions. This verification also provides the easy and executable means and results for the solutions in n-layered or graded solids to be calculated with any controlled accuracy in association with classical numerical integration techniques. The third level is to demonstrate the applicability and suitability of Yue’s approach, Yue’s treatment, Yue’s method and Yue’s solution to uniformly and systematically derive and formulate exact and complete solutions for other boundary-value problems, mixed-boundary value problems, and initial-boundary value problems in layered solids in the frameworks of classical elasticity, boundary element methods, elastodynamics, Biot’s theory of poroelasticity and thermoelasticity. All of such applications are substantiated by peerreviewed journal publications made by the author and his collaborators over the past 30 years.-
dc.languageeng-
dc.publisherSpringer Verlag, co-published with Higher Education Press. The Journal's web site is located at http://link.springer.com/journal/11709-
dc.relation.ispartofFrontiers of Structural and Civil Engineering-
dc.rightsThe final publication is available at Springer via http://dx.doi.org/10.1007/s11709-015-0299-5-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleYue’s solution of classical elasticity in n-layered solids: Part 2, mathematical verification-
dc.typeArticle-
dc.identifier.emailYue, QZQ: yueqzq@hku.hk-
dc.identifier.authorityYue, QZQ=rp00209-
dc.description.naturepostprint-
dc.identifier.doi10.1007/s11709-015-0299-5-
dc.identifier.hkuros266318-
dc.identifier.volume9-
dc.identifier.issue3-
dc.identifier.spage250-
dc.identifier.epage285-
dc.publisher.placeGermany and China-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats