Direct and inverse identification of constitutive parameters from the structure of soft tissues

Part 1: micro- and nanostructure of collagen fibers

verfasst von
Michele Marino, Markus von Hoegen, Jörg Schröder, Peter Wriggers
Abstract

Soft tissues are characterized by a nonlinear mechanical response, highly affected by the multiscale structure of collagen fibers. The effectiveness and the calibration of constitutive models play a major role on the reliability and the applicability of computational models in biomechanics. This paper presents a procedure for the identification of the relationship between collagen-related structural features in soft tissues with model parameters of classical polynomial- and exponential-based constitutive models. Histological features at microscale, as well as biochemical and biophysical properties at nanoscale, are addressed by employing a multiscale structural description of soft tissue mechanics as benchmark data set. Both the direct (from structure to parameters) and the inverse (from parameters to structure) problem are addressed. Suitable optimization problems are introduced for accurate numerical and approximated analytical direct relationships. The inverse identification has been addressed by providing also a measure of the reliability of the computed estimates. Results show the effectiveness of the proposed strategies and allow to discuss the fitting capabilities of classical constitutive approaches in terms of parameters identification.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Externe Organisation(en)
Universität Duisburg-Essen
Typ
Artikel
Journal
Biomechanics and Modeling in Mechanobiology
Band
17
Seiten
1011-1036
Anzahl der Seiten
26
ISSN
1617-7959
Publikationsdatum
08.2018
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Biotechnologie, Modellierung und Simulation, Maschinenbau
Elektronische Version(en)
https://doi.org/10.1007/s10237-018-1009-8 (Zugang: Geschlossen)
 

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