La influencia de la tensión residual en la inestabilidad de cilindros inflados

Mulder Pacheco, Manuel Enrique (2018). La influencia de la tensión residual en la inestabilidad de cilindros inflados. Thesis (Master thesis), E.T.S.I. Caminos, Canales y Puertos (UPM).

Description

Title: La influencia de la tensión residual en la inestabilidad de cilindros inflados
Author/s:
  • Mulder Pacheco, Manuel Enrique
Contributor/s:
  • Merodio Gómez, José
Item Type: Thesis (Master thesis)
Masters title: Ingeniería de las Estructuras, Cimentaciones y Materiales
Date: 2018
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Many biological materials show a phenomenon known as strain stiffening. This is often associated with the limited extensibility of the molecules that compose the material, in particular the collagen proteins. These materials act very differently from typical rubberlike materials. For instance, healthy arterial wall tissue is modelled with significant stiffening behavior. There is another group of biologically interesting materials that show a limited amount of strain stiffening followed by strain softening and then by further stiffening. We shall refer to such materials as localized strain softening materials, with the abbreviation LSS. One of the most impressing features exhibited by such materials, as compared with strain stiffening materials, is that a typical stress strain curve has a characteristic sigmoidal shape, rather similar to that for some rubberlike materials. This behavior has been seen in the arterial tissue of patients suffering from Marfan’s syndrome. But there are also other features such as residual stress that we study here. We are going to investigate the behavior characteristics of a material model, a neo-Hookean strain–energy function that includes residual stress with respect to buckling. Instabilities that cause important changes in the diameter and/or thickness of a tube may be related to changes in soft tissue behavior associated with Marfan’s syndrome and cardiac valve problems. A dilatation of the aorta may cause blood to leak backwards through a valve, in particular the mitral valve, thereby increasing the workload on the heart. As a result, the heart may enlarge in time. People with Marfan’s syndrome often have an oversized mitral valve. This paper consists in, first, studying the strain produced in the cylindrical membrane tube subjected to a uniform axial loading combined with a uniform internal pressure is described, along with the elastic material model (constitutive law) for the tube. This procedure will be done for two different thicknesses, the first thickness analyzed is 5% of the diameter, and, the second thickness simulated is 10% of the diameter. Afterwards, bifurcation from the deformed circular cylindrical geometry of the membrane tube is analyzed.

More information

Item ID: 52437
DC Identifier: http://oa.upm.es/52437/
OAI Identifier: oai:oa.upm.es:52437
Deposited by: Biblioteca ETSI Caminos
Deposited on: 01 Oct 2018 07:52
Last Modified: 01 Oct 2018 07:52
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