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Modelling of non-linear viscoelastic tissues with bar elements
Asadipour, Nina
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Muñoz Romero, José
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
Àrees temàtiques de la UPC::Matemàtiques i estadística
Strength of materials
Elastic solids
Elasticity
Viscoelasticity
Bar elements
Null-space
Biomechanics
Soft tissues
Resistència de materials
Elasticitat
Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/masterThesis
Universitat Politècnica de Catalunya
         

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