A micro-sphere-based remodelling formulation for arterial tissue including residual stresses |
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| Authors: | Tobias Waffenschmidt Andreas Menzel |
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| Institution: | 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 |
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| Abstract: | An essential property of soft biological tissues is the ability to adapt according to respective loading conditions, e.g. by means of fibre reorientation (remodelling). In particular with regard to arterial tissue, an externally unloaded state of the material is generally associated with residual stresses. In this contribution a three-dimensional micro-sphere-based constitutive model for anisotropic soft biological tissue is presented, which includes fibre-reorientation-related remodelling as well as residual stress-effects. As a key aspect of this contribution, time-dependent remodelling effects are incorporated by introducing evolution equations for the integration directions of the micro-sphere scheme, which thereby characterize the material's anisotropic properties. An appropriate remodelling approach for the orthotropic case is discussed, whereas the effect of residual stresses is additionally included in the model by means of a multiplicative decomposition of the deformation gradient tensor. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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