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Residual Stresses in Soft Tissues as a Consequence of Growth and Remodeling: application to an arterial geometr
Linköping University, Department of Management and Engineering, Mechanics . Linköping University, The Institute of Technology.
Linköping University, Department of Management and Engineering, Mechanics . Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
2008 (English)In: European journal of mechanics. A, Solids, ISSN 0997-7538, Vol. 27, no 6, 959-974 p.Article in journal (Refereed) Published
Abstract [en]

We develop a thermodynamically consistent model for growth and remodeling in elastic arteries. The model is specialized to a cylindrical geometry, strain energy of the Holzapfel–Gasser–Ogden type and remodeling of the collagen fiber angle. A numerical method for calculating the evolution of the adaptation process is developed. For a particular choice of the thermodynamic forces of growth and remodeling (configurational forces), it is shown that an almost homogeneous transmural axial and tangential stress distribution is obtained. Residual stresses develop during this adaption process and these resemble what is found in experiments and by parameter identification methods.

Place, publisher, year, edition, pages
2008. Vol. 27, no 6, 959-974 p.
Keyword [en]
Configurational forces, Growth, Remodeling, Residual stress, Artery
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-14332DOI: 10.1016/j.euromechsol.2007.12.006OAI: oai:DiVA.org:liu-14332DiVA: diva2:23259
Available from: 2007-03-16 Created: 2007-03-16 Last updated: 2017-05-15
In thesis
1. Soft Tissue Mechanics with Emphasis on Residual Stress Modeling
Open this publication in new window or tab >>Soft Tissue Mechanics with Emphasis on Residual Stress Modeling
2007 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns residual stress modeling in soft living tissues. The word living means that the tissue interacts with surrounding organs and that it can change its internal properties to optimize its function. From the first day all tissues are under pressure, due, for example, to gravity, other surrounding organs that utilize pressure on the specific tissue, and the pressure from the blood that circulates within the body. This means that all organs grow and change properties under load, and an unloaded configuration is never present within the body. When a tissue is removed from the body, the obtained unloaded state is not naturally stress free. This stress within an unloaded body is called residual stress. It is believed that the residual stress helps the tissue to optimize its function by homogenizing the transmural stress distribution.

The thesis is composed of two parts: in the first part an introduction to soft tissues and basic modeling is given and the second part consist of a collection of five manuscripts. The first four papers show how residual stress can be modeled. We also derive evolution equation for growth and remodeling and show how residual stress develops under constant pressure. The fifth paper deals with damage and viscosity in soft tissues.

Place, publisher, year, edition, pages
Institutionen för konstruktions- och produktionsteknik, 2007. 27 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1081
Keyword
Mechanics, Residual Stress, Growth, Remodeling
National Category
Mechanical Engineering
Identifiers
urn:nbn:se:liu:diva-8490 (URN)978-91-85715-50-3 (ISBN)
Public defence
2007-04-13, Sal C3, Hus C, Linköpings universitet, Linköping, 10:15 (English)
Opponent
Supervisors
Available from: 2007-03-16 Created: 2007-03-16 Last updated: 2017-05-15

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Olsson, TobiasKlarbring, Anders

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