Rapid Evaluation of Material Properties for Materials Reinforced by Statistically Oriented Fibres

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atmire.migration.oldid3964
dc.contributor.advisorFederico, Salvatore
dc.contributor.authorHashlamoun, Kotaybah
dc.contributor.committeememberWan, Richard
dc.contributor.committeememberEpstein, Marcelo
dc.contributor.committeememberDi Martino, Elena
dc.date.accessioned2015-12-24T17:07:01Z
dc.date.available2015-12-24T17:07:01Z
dc.date.issued2015-12-24
dc.date.submitted2015en
dc.description.abstractThe arrangement of the collagen fibres in biological tissues can be described by an orientation probability distribution. The overall contribution of the fibres to a given mechanical property can be estimated by an averaging integral of the constitutive function describing the mechanical property over the set of all directions in space. Except for the case of polynomials in the structure tensor (tensor product of the unit vector describing the fibre direction by itself), the averaging integral cannot be evaluated directly, as the integrand is a function of both deformation and fibre orientation. In order to avoid computationally expensive integrations at each increment of deformation, this work proposes three methods based on the direct integrability of polynomials, which are then compared against an averaging method available in the literature and against the integration made at each increment of deformation. Finally, a representation of the higher order averaged structure tensors is suggested.en_US
dc.identifier.citationHashlamoun, K. (2015). Rapid Evaluation of Material Properties for Materials Reinforced by Statistically Oriented Fibres (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/27528en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/27528
dc.identifier.urihttp://hdl.handle.net/11023/2714
dc.language.isoeng
dc.publisher.facultyGraduate Studies
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subjectApplied Mechanics
dc.subjectEngineering--Biomedical
dc.subjectEngineering--Mechanical
dc.subject.classificationfibre-reinforced, averaging, Finite Element Method, biological tissue, Continuum Mechanics, Elasticityen_US
dc.titleRapid Evaluation of Material Properties for Materials Reinforced by Statistically Oriented Fibres
dc.typemaster thesis
thesis.degree.disciplineMechanical and Manufacturing Engineering
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
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