Please use this identifier to cite or link to this item: https://scholarhub.balamand.edu.lb/handle/uob/1804
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dc.contributor.authorHonein, Taniosen_US
dc.contributor.authorHonein, Elieen_US
dc.contributor.authorNajjar, Michelen_US
dc.contributor.authorRai, Habiben_US
dc.date.accessioned2020-12-23T09:00:14Z-
dc.date.available2020-12-23T09:00:14Z-
dc.date.issued2019-
dc.identifier.urihttps://scholarhub.balamand.edu.lb/handle/uob/1804-
dc.description.abstractIt is shown that a heretofore seemingly unnoticed correspondence (or analogy) exists between the traction boundary value problem for compressible media and the displacement boundary value problem for incompressible media occupying the same domain, in plane, isotropic, linear elastostatics. The Airy stress function, which satisfies equilibrium identically, has to be biharmonic in order to satisfy the compatibility condition in a compressible body. Correspondingly, a displacement potential function, which satisfies the incompressibility condition identically, has to be biharmonic in order to satisfy equilibrium. Since Stokes flow is governed by identical relations as incompressible plane elasticity, if displacement is interpreted as velocity and the shear modulus as dynamic viscosity, the correspondence extends to that between compressible elasticity and Stokes flow for boundary value problems indicated above. This analogy provides a rare example of a constrained system which is equivalent to the same system without the constraint.en_US
dc.format.extent13 p.en_US
dc.language.isoengen_US
dc.titleA correspondence between compressible and incompressible plane elastostaticsen_US
dc.typeJournal Articleen_US
dc.contributor.affiliationDepartment of Mechanical Engineeringen_US
dc.contributor.affiliationDepartment of Mechanical Engineeringen_US
dc.contributor.affiliationDepartment of Mechanical Engineeringen_US
dc.contributor.affiliationDepartment of Mechanical Engineeringen_US
dc.description.volume230en_US
dc.description.issue7en_US
dc.description.startpage2549en_US
dc.description.endpage2562en_US
dc.date.catalogued2019-09-12-
dc.description.statusPublisheden_US
dc.identifier.ezproxyURLhttp://ezsecureaccess.balamand.edu.lb/login?url=https://link.springer.com/article/10.1007/s00707-019-02421-yen_US
dc.identifier.OlibID207559-
dc.relation.ispartoftextJournal of acta mechanicaen_US
dc.provenance.recordsourceOliben_US
crisitem.author.parentorgFaculty of Engineering-
crisitem.author.parentorgFaculty of Engineering-
Appears in Collections:Department of Mechanical Engineering
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