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Modelling of non-linear viscoelastic tissues with bar elements
dc.contributor | Muñoz Romero, José |
dc.contributor.author | Asadipour, Nina |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2012-04-13T06:50:21Z |
dc.date.available | 2012-04-13T06:50:21Z |
dc.date.issued | 2012-03 |
dc.identifier.uri | http://hdl.handle.net/2099.1/15014 |
dc.description.abstract | In this work we develop a viscoelastic bar element that can handle multiple rheological laws with non-linear elastic and non-linear viscous material models. The bar element is built by joining in series an elastic and viscous bar, constraining the middle node position to the bar axis with a reduction method, and statically condensing the internal degrees of freedom. We apply the methodology to the modelling of reversible softening with stiffness recovery both in 2D and 3D, a phenomenology also experimentally observed during stretching cycles on epithelial lung cell monolayers.. It has been observed during embryo development that the cells change |
dc.language.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Strength of materials |
dc.subject.lcsh | Elastic solids |
dc.subject.lcsh | Elasticity |
dc.subject.other | Viscoelasticity |
dc.subject.other | Bar elements |
dc.subject.other | Null-space |
dc.subject.other | Biomechanics |
dc.subject.other | Soft tissues |
dc.title | Modelling of non-linear viscoelastic tissues with bar elements |
dc.type | Master thesis |
dc.subject.lemac | Resistència de materials |
dc.subject.lemac | Elasticitat |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods |
dc.rights.access | Open Access |
dc.audience.educationlevel | Màster |
dc.audience.mediator | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
dc.audience.degree | MÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010) |