A different catch for Poisson

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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.epage23en_US
dc.citation.spage3en_US
dc.citation.volumeNumber175en_US
dc.contributor.authorBakiler, A. Derya
dc.contributor.authorJavili, Ali
dc.contributor.editorGiorgio, Ivan
dc.contributor.editorPlacidi, Luca
dc.contributor.editorBarchiesi, Emilio
dc.contributor.editorEmek Abali, Bilen
dc.contributor.editorAltenbach, Holm
dc.date.accessioned2023-02-15T10:38:34Z
dc.date.available2023-02-15T10:38:34Z
dc.date.issued2022-05-04
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractPoisson’s ratio, similar to other material parameters of isotropic elasticity, is determined via experiments corresponding to small strains. Yet at small-strain linear elasticity, Poisson’s ratio has a dual nature; although commonly understood as a geometrical parameter, Poisson’s ratio is also a material parameter. From a geometrical perspective only, the concept of Poisson’s ratio has been extended to large deformations by Beatty and Stalnaker. Here, through a variational analysis, we firstly propose an alternative relationship between the Poisson ratio and stretches at finite deformations such that the nature of Poisson’s ratio as a material parameter is retained. In doing so, we introduce relationships between the Poisson ratio and stretches at large deformations different than those established by Beatty and Stal naker. We show that all the nonlinear definitions of Poisson’s ratio coincide at the reference configuration and thus, material and geometrical descriptions too coincide, at small-strains linear elasticity. Secondly, we employ this variational approach to bring in the notion of nonlinear Poisson’s ratio in peridynamics, for the first time. In particular, we focus on bond-based peridynamics. The nonlinear Poisson’s ratio of bond-based peridynamics coincides with 1/3 for two-dimensional and 1/4 for three-dimensional problems, at the reference configuration.en_US
dc.identifier.doi10.1007/978-3-031-04548-6_1en_US
dc.identifier.issn1869-8433
dc.identifier.urihttp://hdl.handle.net/11693/111327
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.ispartofTheoretical analyses, computations, and experiments of multiscale materials: A tribute to Francesco dell’Isolaen_US
dc.relation.ispartofseriesAdvanced Structured Materials;
dc.relation.isversionofhttps://doi.org/10.1007/978-3-031-04548-6_1en_US
dc.source.titleTheoretical analyses, computations, and experiments of multiscale materials: A tribute to Francesco dell’Isolaen_US
dc.subjectNon-linear Poisson’s ratioen_US
dc.subjectVariational elasticityen_US
dc.subjectPeridynamicsen_US
dc.titleA different catch for Poissonen_US
dc.typeBook Chapteren_US

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