Literature DB >> 19457487

A closed-form structural model of planar fibrous tissue mechanics.

Ramesh Raghupathy1, Victor H Barocas2.   

Abstract

Structural models of tissue mechanics, in which the tissue is represented as a sum or integral of fiber contributions for a distribution of fiber orientations, are a popular tool to represent the complex mechanical behavior of soft tissues. A significant practical challenge, however, is evaluation of the integral that defines the stress. Numerical integration is accurate but computationally demanding, posing an impediment to incorporation of structural models into large-scale finite-element simulations. In this paper, a closed-form analytic evaluation of the integral is derived for fibers distributed according to a von Mises distribution and an exponential fiber stress-strain law.

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Year:  2009        PMID： 19457487      PMCID： PMC2707510          DOI： 10.1016/j.jbiomech.2009.04.005

Source DB:  PubMed          Journal:  J Biomech        ISSN： 0021-9290            Impact factor:   2.712


  19 in total

1.  Affine versus non-affine deformation in soft biological tissues, measured by the reorientation and stretching of collagen fibres through the thickness of compressed porcine skin.

Authors:  D G Hepworth; A Steven-fountain; D M Bruce; J F Vincent
Journal:  J Biomech       Date:  2001-03       Impact factor: 2.712

2.  Biaxial mechanical properties of the native and glutaraldehyde-treated aortic valve cusp: Part II--A structural constitutive model.

Authors:  K L Billiar; M S Sacks
Journal:  J Biomech Eng       Date:  2000-08       Impact factor: 2.097

3.  Computational modeling of mechanical anisotropy in the cornea and sclera.

Authors:  Peter M Pinsky; Dolf van der Heide; Dimitri Chernyak
Journal:  J Cataract Refract Surg       Date:  2005-01       Impact factor: 3.351

4.  Invariant formulation for dispersed transverse isotropy in aortic heart valves: an efficient means for modeling fiber splay.

Authors:  Alan D Freed; Daniel R Einstein; Ivan Vesely
Journal:  Biomech Model Mechanobiol       Date:  2005-08-27

5.  Modeling cell and matrix anisotropy in fibroblast populated collagen vessels.

Authors:  Jessica E Wagenseil; Ruth J Okamoto
Journal:  Biomech Model Mechanobiol       Date:  2006-03-07

6.  Affine versus non-affine fibril kinematics in collagen networks: theoretical studies of network behavior.

Authors:  Preethi L Chandran; Victor H Barocas
Journal:  J Biomech Eng       Date:  2006-04       Impact factor: 2.097

7.  Comparison of 2D fiber network orientation measurement methods.

Authors:  E A Sander; V H Barocas
Journal:  J Biomed Mater Res A       Date:  2009-02       Impact factor: 4.396

8.  Constitutive equations for fibrous connective tissues.

Authors:  Y Lanir
Journal:  J Biomech       Date:  1983       Impact factor: 2.712

Review 9.  Hyperelastic modelling of arterial layers with distributed collagen fibre orientations.

Authors:  T Christian Gasser; Ray W Ogden; Gerhard A Holzapfel
Journal:  J R Soc Interface       Date:  2006-02-22       Impact factor: 4.118

10.  Planar biaxial mechanical behavior of bioartificial tissues possessing prescribed fiber alignment.

Authors:  Choon-Sik Jhun; Michael C Evans; Victor H Barocas; Robert T Tranquillo
Journal:  J Biomech Eng       Date:  2009-08       Impact factor: 2.097
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  17 in total

1.  A method for predicting collagen fiber realignment in non-planar tissue surfaces as applied to glenohumeral capsule during clinically relevant deformation.

Authors:  Rouzbeh Amini; Carrie A Voycheck; Richard E Debski
Journal:  J Biomech Eng       Date:  2014-03       Impact factor: 2.097

Review 2.  Toward single cell traction microscopy within 3D collagen matrices.

Authors:  Matthew S Hall; Rong Long; Xinzeng Feng; Yuling Huang; Chung-Yuen Hui; Mingming Wu
Journal:  Exp Cell Res       Date:  2013-06-25       Impact factor: 3.905

3.  Modelling non-symmetric collagen fibre dispersion in arterial walls.

Authors:  Gerhard A Holzapfel; Justyna A Niestrawska; Ray W Ogden; Andreas J Reinisch; Andreas J Schriefl
Journal:  J R Soc Interface       Date:  2015-05-06       Impact factor: 4.118

Review 4.  On fibre dispersion modelling of soft biological tissues: a review.

Authors:  Gerhard A Holzapfel; Ray W Ogden; Selda Sherifova
Journal:  Proc Math Phys Eng Sci       Date:  2019-04-03       Impact factor: 2.704

5.  Combining displacement field and grip force information to determine mechanical properties of planar tissue with complicated geometry.

Authors:  Tina M Nagel; Mohammad F Hadi; Amy A Claeson; David J Nuckley; Victor H Barocas
Journal:  J Biomech Eng       Date:  2014-11       Impact factor: 2.097

6.  A Characteristic-Based Constitutive Law for Dispersed Fibers.

Authors:  Liang Ge
Journal:  J Biomech Eng       Date:  2016-07-01       Impact factor: 2.097

7.  Mechanical changes in the rat right ventricle with decellularization.

Authors:  Colleen Witzenburg; Ramesh Raghupathy; Stefan M Kren; Doris A Taylor; Victor H Barocas
Journal:  J Biomech       Date:  2011-12-30       Impact factor: 2.712

8.  Poisson's Contraction and Fiber Kinematics in Tissue: Insight From Collagen Network Simulations.

Authors:  R C Picu; S Deogekar; M R Islam
Journal:  J Biomech Eng       Date:  2018-02-01       Impact factor: 2.097

9.  Biaxial tension of fibrous tissue: using finite element methods to address experimental challenges arising from boundary conditions and anisotropy.

Authors:  Nathan T Jacobs; Daniel H Cortes; Edward J Vresilovic; Dawn M Elliott
Journal:  J Biomech Eng       Date:  2013-02       Impact factor: 2.097

10.  Simulation of planar soft tissues using a structural constitutive model: Finite element implementation and validation.

Authors:  Rong Fan; Michael S Sacks
Journal:  J Biomech       Date:  2014-03-21       Impact factor: 2.712
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