Change search
ReferencesLink to record
Permanent link

Direct link
A polyconvex framework for soft biological tissues. Adjustment to experimental data
2006 (English)In: International Journal of Solids and Structures, ISSN 0020-7683, E-ISSN 1879-2146, Vol. 43, no 20, 6052-6070 p.Article in journal (Refereed) Published
Abstract [en]

The main goal of this contribution is to provide a simple method for constructing transversely isotropic polyconvex functions suitable for the description of biological soft tissues. The advantage of our approach is that only a few parameters are necessary to approximate a variety of stress-strain curves and to satisfy the condition of a stress-free reference configuration a priori in the framework of polyconvexity. The proposed polyconvex stored energies are embedded into the concept of structural tensors and the representation theorems for isotropic tensor functions are utilized. As an example, the medial layer of a human abdominal aorta is investigated, modeled by some of the proposed polyconvex functions and compared with experimental data. Hereby, the economic fitting to experimental data, and hence the easy handling of the functions is shown.

Place, publisher, year, edition, pages
2006. Vol. 43, no 20, 6052-6070 p.
Keyword [en]
anisotropic, polyconvex, hyperelastic, stored energy function, biological soft tissues, finite-element implementation, strain-energy functions, structural model, arterial-walls, formulation, elasticity, tensors
URN: urn:nbn:se:kth:diva-16005DOI: 10.1016/j.ijsolstr.2005.07.048ISI: 000240782000008ScopusID: 2-s2.0-33846093462OAI: diva2:334047
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Holzapfel, Gerhard A.
In the same journal
International Journal of Solids and Structures

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 27 hits
ReferencesLink to record
Permanent link

Direct link