Details
| Original language | English |
|---|---|
| Pages (from-to) | 897-920 |
| Number of pages | 24 |
| Journal | Biomechanics and Modeling in Mechanobiology |
| Volume | 18 |
| Issue number | 4 |
| Early online date | 9 Feb 2019 |
| Publication status | Published - 15 Aug 2019 |
Abstract
Keywords
- Constitutive models, Fiber dispersion, Inverse analysis, Parameters identification, Soft tissue mechanics, Regression Analysis, Algorithms, Models, Biological, Fibrillar Collagens/physiology, Organ Specificity
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
- Biochemistry, Genetics and Molecular Biology(all)
- Biotechnology
- Mathematics(all)
- Modelling and Simulation
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Biomechanics and Modeling in Mechanobiology, Vol. 18, No. 4, 15.08.2019, p. 897-920.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Direct and inverse identification of constitutive parameters from the structure of soft tissues.
T2 - Part 2: dispersed arrangement of collagen fibers
AU - von Hoegen, Markus
AU - Marino, Michele
AU - Schröder, Jörg
AU - Wriggers, Peter
N1 - Funding Information: M. Marino acknowledges that this work has been carried out within the framework of the SMART BIOTECS alliance between the Technical University of Braunschweig and the Leibniz University of Hannover. This initiative is financially supported by the Ministry of Science and Culture (MWK) of Lower Saxony, Germany.
PY - 2019/8/15
Y1 - 2019/8/15
N2 - This paper investigates on the relationship between the arrangement of collagen fibers within soft tissues and parameters of constitutive models. Starting from numerical experiments based on biaxial loading conditions, the study addresses both the direct (from structure to mechanics) and the inverse (from mechanics to structure) problems, solved introducing optimization problems for model calibration and regression analysis. A campaign of parametric analyses is conducted in order to consider fibers distributions with different main orientation and angular dispersion. Different anisotropic constitutive models are employed, accounting for fibers dispersion either with a generalized structural approach or with an increasing number of strain energy terms. Benchmark data sets, toward which constitutive models are fitted, are built by employing a multiscale description of fiber nonlinearities and accounting for fibers dispersion with an angular integration method. Results show how the optimal values of constitutive parameters obtained from model calibration vary as a function of fibers arrangement and testing protocol. Moreover, the fitting capabilities of constitutive models are discussed. A novel strategy for model calibration is also proposed, in order to obtain a robust accuracy with respect to different loading conditions starting from a low number of mechanical tests. Furthermore, novel results useful for the inverse determination of the mean angle and the variance of fibers distribution are obtained. Therefore, the study contributes: to better design procedures for model calibration; to account for mechanical alterations due to remodeling mechanisms; and to gain structural information in a nondestructive way.
AB - This paper investigates on the relationship between the arrangement of collagen fibers within soft tissues and parameters of constitutive models. Starting from numerical experiments based on biaxial loading conditions, the study addresses both the direct (from structure to mechanics) and the inverse (from mechanics to structure) problems, solved introducing optimization problems for model calibration and regression analysis. A campaign of parametric analyses is conducted in order to consider fibers distributions with different main orientation and angular dispersion. Different anisotropic constitutive models are employed, accounting for fibers dispersion either with a generalized structural approach or with an increasing number of strain energy terms. Benchmark data sets, toward which constitutive models are fitted, are built by employing a multiscale description of fiber nonlinearities and accounting for fibers dispersion with an angular integration method. Results show how the optimal values of constitutive parameters obtained from model calibration vary as a function of fibers arrangement and testing protocol. Moreover, the fitting capabilities of constitutive models are discussed. A novel strategy for model calibration is also proposed, in order to obtain a robust accuracy with respect to different loading conditions starting from a low number of mechanical tests. Furthermore, novel results useful for the inverse determination of the mean angle and the variance of fibers distribution are obtained. Therefore, the study contributes: to better design procedures for model calibration; to account for mechanical alterations due to remodeling mechanisms; and to gain structural information in a nondestructive way.
KW - Constitutive models
KW - Fiber dispersion
KW - Inverse analysis
KW - Parameters identification
KW - Soft tissue mechanics
KW - Regression Analysis
KW - Algorithms
KW - Models, Biological
KW - Fibrillar Collagens/physiology
KW - Organ Specificity
UR - http://www.scopus.com/inward/record.url?scp=85061254100&partnerID=8YFLogxK
U2 - 10.1007/s10237-019-01119-3
DO - 10.1007/s10237-019-01119-3
M3 - Article
C2 - 30737633
AN - SCOPUS:85061254100
VL - 18
SP - 897
EP - 920
JO - Biomechanics and Modeling in Mechanobiology
JF - Biomechanics and Modeling in Mechanobiology
SN - 1617-7959
IS - 4
ER -