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On a micro-sphere based remodelling formulation for orthotropic soft biological tissue |
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| Authors: | Tobias Waffenschmidt Andreas Menzel |
| Affiliation: | 1. Institute of Mechanics, Department of Mechanical Engineering, Dortmund University of Technology, Leonhard-Euler-Str. 5, D-44227 Dortmund, Germany;2. Institute of Mechanics, Department of Mechanical Engineering, Dortmund University of Technology, Leonhard-Euler-Str. 5, D-44227 Dortmund, Germany Division of Solid Mechanics, Lund University, P.O. Box 118, SE-221 00 Lund, Sweden |
| Abstract: | An essential property of biological tissues in vivo is the ability to adapt according to respective loading conditions--for example by changing its mass, shape, or internal structure, the latter for instance being associated with fibre reorientation and often denoted as remodelling. In this contribution, a three-dimensional micro-sphere-based constitutive model for anisotropic soft biological tissue is presented, which includes these fibre-reorientation-related remodelling effects. As a key aspect, time-dependent remodelling effects are incorporated by introducing evolution equations for the referential orientations of the integration directions, as present in the computational micro-sphere approach. Based on this, a remodelling formulation for the orthotropic case with two mean fibre orientations will be presented. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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