Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
1902
pubmed:dateCreated
2009-8-6
pubmed:abstractText
Biological tissues possess the ability to adapt according to the respective local loading conditions, which results in growth and remodelling phenomena. The main goal of this work is the development of a new remodelling approach that, on the one hand, reflects the alignment of fibrous soft biological tissue with respect to representative loading directions. On the other hand, the continuum approach proposed is based on a sound micro-mechanically motivated formulation. To be specific, use of a worm-like chain model is made to describe the behaviour of long-chain molecules as present in, for instance, collageneous tissues. The extension of such a one-dimensional constitutive equation to the three-dimensional macroscopic level is performed by means of a microsphere formulation. Inherent with the algorithmic treatment of this type of modelling approach, a finite number of unit vectors is considered for the numerical integration over the domain of the unit sphere. As a key aspect of this contribution, remodelling is incorporated by setting up evolution equations for the referential orientations of these integration directions. Accordingly, the unit vectors considered now allow interpretation as internal variables, which characterize the material's anisotropic properties. Several numerical studies underline the applicability of the model that, moreover, nicely fits into iterative finite element formulations so that general boundary value problems can be solved.
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:status
MEDLINE
pubmed:month
Sep
pubmed:issn
1364-503X
pubmed:author
pubmed:issnType
Print
pubmed:day
13
pubmed:volume
367
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
3499-523
pubmed:meshHeading
pubmed:year
2009
pubmed:articleTitle
A microsphere-based remodelling formulation for anisotropic biological tissues.
pubmed:affiliation
Institute of Mechanics, TU Dortmund University, Leonhard-Euler-Strasse 5, 44221 Dortmund, Germany.
pubmed:publicationType
Journal Article, Research Support, Non-U.S. Gov't