Extended general interfaces: Mori–Tanaka homogenization and average fields

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buir.contributor.authorJavili, Ali
buir.contributor.orcidJavili, Ali|0000-0001-7965-7088
dc.citation.epage111933- 30en_US
dc.citation.spage111933- 1en_US
dc.citation.volumeNumber254-255en_US
dc.contributor.authorFirooz, S.
dc.contributor.authorChatzigeorgiou, G.
dc.contributor.authorSteinmann, P.
dc.contributor.authorJavili, Ali
dc.date.accessioned2023-02-17T11:48:29Z
dc.date.available2023-02-17T11:48:29Z
dc.date.issued2022-08-24
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractA well-established methodology to capture interphases in heterogeneous materials is to replace them by a zero-thickness interface model. Commonly accepted interface models intuitively assume that to satisfy the angular momentum balance, interfaces must coincide with the mid-layer of their corresponding interphases. Recently, via adopting weighted averages, an extended general interface model has been developed that allows for arbitrary interface positions while fulfilling the angular momentum balance. This manuscript incorporates this novel interface model into the Mori–Tanaka method within the framework of homogenization. Analytical solutions are developed to determine effective properties as well as average local fields for fiber-reinforced and particle-reinforced composites. Computational simulations using the finite element method (FEM) are carried out to compare with the analytical solutions. Through a set of numerical examples, the significance of the interface position on the overall response of heterogeneous materials is highlighted. Our extended framework clarifies various ambiguous observations originating from the trivial assumption of restricting the interface position to the mid-plane. One advantage of the current interface model is that it covers both the elastic and cohesive interface models at its limits and therefore the analytical solutions are widely applicable regardless of the interface type.en_US
dc.embargo.release2024-08-24
dc.identifier.doi10.1016/j.ijsolstr.2022.111933en_US
dc.identifier.eissn1879-2146
dc.identifier.issn0020-7683
dc.identifier.urihttp://hdl.handle.net/11693/111515
dc.language.isoEnglishen_US
dc.publisherElsevier Ltden_US
dc.relation.isversionofhttps://doi.org/10.1016/j.ijsolstr.2022.111933en_US
dc.source.titleInternational Journal of Solids and Structuresen_US
dc.subjectMori–Tanaka homogenizationen_US
dc.subjectCompositesen_US
dc.subjectExtended general interfaceen_US
dc.subjectSize effectsen_US
dc.titleExtended general interfaces: Mori–Tanaka homogenization and average fieldsen_US
dc.typeArticleen_US

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