Wrinkling of a compressible trilayer domain under large plane deformations

buir.contributor.authorJavili, Ali
buir.contributor.authorBakiler, A. Derya
buir.contributor.orcidJavili, Ali|0000-0001-7965-7088
buir.contributor.orcidBakiler, A. Derya|0000-0001-5539-8050
dc.citation.epage111465- 12en_US
dc.citation.spage111465- 1en_US
dc.citation.volumeNumber214en_US
dc.contributor.authorBakiler, A. Derya
dc.contributor.authorJavili, Ali
dc.date.accessioned2023-02-17T12:31:41Z
dc.date.available2023-02-17T12:31:41Z
dc.date.issued2022-02-08
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractInstabilities that arise in layered systems have been a riveting course of study for the past few decades, having found utility in various fields, while also being frequently observed in biological systems. The trilayer structure, composed of a film, interphase and substrate, is employed in several applications where the structure undergoes large deformations and the materials used are far from incompressible. Due to their complex behavior and their potential applications, the instabilities of compressible tri-layered systems; as in how they are initiated and how they can be tuned, yet remain elusive and poorly understood. Hence, the main goal of this contribution is to shed light on the large deformation wrinkling behavior of a compressible, trilayer domain, wherein a theoretical solution which captures the instability behavior of a compressible trilayer system under plane deformations is developed. An excellent agreement is observed between the analytical solutions and numerical findings, obtained using FEM enhanced with eigenvalue analysis, for a wide range of geometrical and material parameters, including compressibility of the domains, stiffness ratios, and interphase thickness. The effect of compressibility is found to be particularly significant for the case of a more compliant interphase compared to the substrate. We rigorously establish a theoretical framework that yields a one-part solution for critical wavelength, which alone captures the different wrinkling modes that have been reported in trilayer structures but previously have been treated as a two-part problem. Finally, at the incompressibility limit, the solution here reduces to its counterparts established in literature.en_US
dc.description.provenanceSubmitted by Ezgi Uğurlu (ezgi.ugurlu@bilkent.edu.tr) on 2023-02-17T12:31:41Z No. of bitstreams: 1 Wrinkling_of_a_compressible_trilayer_domain_under_large_plane_deformations.pdf: 3676137 bytes, checksum: 0b97dc7568f6da2aa4afb215eea5018f (MD5)en
dc.description.provenanceMade available in DSpace on 2023-02-17T12:31:41Z (GMT). No. of bitstreams: 1 Wrinkling_of_a_compressible_trilayer_domain_under_large_plane_deformations.pdf: 3676137 bytes, checksum: 0b97dc7568f6da2aa4afb215eea5018f (MD5) Previous issue date: 2022-02-08en
dc.embargo.release2024-02-08
dc.identifier.doi10.1016/j.ijsolstr.2022.111465en_US
dc.identifier.eissn1879-2146
dc.identifier.issn0020-7683
dc.identifier.urihttp://hdl.handle.net/11693/111521
dc.language.isoEnglishen_US
dc.publisherElsevier Ltden_US
dc.relation.isversionofhttps://doi.org/10.1016/j.ijsolstr.2022.111465en_US
dc.source.titleInternational Journal of Solids and Structuresen_US
dc.subjectInstabilitiesen_US
dc.subjectTrilayer wrinklingen_US
dc.subjectCompressible elasticityen_US
dc.subjectGeometrical instabilityen_US
dc.titleWrinkling of a compressible trilayer domain under large plane deformationsen_US
dc.typeArticleen_US

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