From beams to bilayers: A unifying approach towards instabilities of compressible domains under plane deformations

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buir.contributor.authorBakiler, A. Derya
buir.contributor.authorJavili, Ali
buir.contributor.orcidBakiler, A. Derya|0000-0001-5539-8050
buir.contributor.orcidJavili, Ali|0000-0001-7965-7088
dc.citation.epage103752-16en_US
dc.citation.spage103752-1en_US
dc.citation.volumeNumber135en_US
dc.contributor.authorBakiler, A. Derya
dc.contributor.authorDörtdivanoğlu, B.
dc.contributor.authorJavili, Ali
dc.date.accessioned2022-02-15T09:52:30Z
dc.date.available2022-02-15T09:52:30Z
dc.date.issued2021-10
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractInstabilities that form when a domain of compliant elastic material goes under compressive forces are prevalent in nature and have found many applications. Even though instabilities are observed in a myriad of fields and materials, the large deformation bifurcation analysis of compressible domains, may it be beams, half-spaces, or bilayers, remains understudied compared to the incompressible case. In this work, we present a unifying approach for the instability analysis of a compressible elastic domain under plane deformations, wherein the unifying approach is then particularized for beams, half-spaces, and bilayers. First, the large-deformation incremental analysis for a rectangular, compressible, hyperelastic domain under plane deformations is developed, which serves as a generic and all-encompassing framework for other geometries. Subsequently, this generic framework is applied to the specific domains of beam, half-space, and lastly as the superimposition of the two; bilayer. Obtained analytical results for the onset of wrinkling in the beam, half-space and bilayer geometries are explored in the full range of compressibility and for various geometrical parameters, including their comparison with computational simulations using the finite element method, cultivating excellent agreements between analytical and numerical results all across the material and geometrical parameter spectrum. The analytical framework presented here provides grounds for further works on other modes of instabilities and more complex geometries.en_US
dc.embargo.release2023-10-31
dc.identifier.doi10.1016/j.ijnonlinmec.2021.103752en_US
dc.identifier.issn0020-7462
dc.identifier.urihttp://hdl.handle.net/11693/77366
dc.language.isoEnglishen_US
dc.publisherElsevier Ltden_US
dc.relation.isversionofhttps://doi.org/10.1016/j.ijnonlinmec.2021.103752en_US
dc.source.titleInternational Journal of Non-Linear Mechanicsen_US
dc.subjectInstabilitiesen_US
dc.subjectCompressible elasticityen_US
dc.subjectBifurcation of bilayeren_US
dc.subjectGeometrical instabilityen_US
dc.subjectBucklingen_US
dc.titleFrom beams to bilayers: A unifying approach towards instabilities of compressible domains under plane deformationsen_US
dc.typeArticleen_US

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