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Elastic Properties of Muscle Tissue: Comparison of an Inverse Finite Element Approach and Homogeneous Deformation
Author(s) -
Kruse Roland,
Weichert Christine,
Böl Markus
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210042
Subject(s) - finite element method , deformation (meteorology) , homogeneous , stiffness , inverse , exponential function , materials science , stress (linguistics) , orientation (vector space) , geometry , fiber , inverse problem , mechanics , mathematical analysis , composite material , mathematics , structural engineering , physics , engineering , statistical physics , linguistics , philosophy
Parameters of material models are commonly identified by fitting predicted stress‐stretch relations to experimentally derived ones, assuming homogeneous deformation. This approach has been compared with an inverse finite element strategy, where an FE model of the actual measurement set‐up is created to obtain stress‐stretch data. Compressive tests of skeletal muscle tissue have been conducted for different fiber orientations, with a stereo camera system capturing the geometry of the sample. The material exhibited an exponential increase in stiffness with increasing stretch, with large differences related to the fiber orientation; this behavior is described well by a model for arterial layers. Assuming homogeneous deformation led to significantly different stress‐stretch curves indicating that this assumption is unrealistic in this case. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)