Metadata-Version: 2.1
Name: fiberoripy
Version: 1.0.2
Summary: Fiber orientation models and closures
Home-page: https://github.com/nilsmeyerkit/fiberoripy
Author: Nils Meyer
Author-email: nils.meyer@kit.edu
License: UNKNOWN
Platform: UNKNOWN
Classifier: Programming Language :: Python :: 3
Classifier: License :: OSI Approved :: MIT License
Classifier: Operating System :: OS Independent
Description-Content-Type: text/markdown
Requires-Dist: numpy
Requires-Dist: matplotlib
Requires-Dist: scipy

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# Fiberoripy
This python package provides basic functionality and tools for fiber orientations and
closure models.

For example,

    example/orientation/comparison_perfectshear.py

should reproduce Figure 2 in *Favaloro, A.J., Tucker III, C.L., Composites Part A, 126 (2019)*:

  ![example_image](https://raw.github.com/nilsmeyerkit/fiberoripy/master/docs/images/example.png)


## Orientation models
Following models have been implemented:

 * __Jeffery__: G.B. Jeffery, 'The motion of ellipsoidal particles immersed in a viscous fluid', Proceedings of the Royal Society A, 1922. (https://doi.org/10.1098/rspa.1922.0078)
 * __Folgar-Tucker__: F. Folgar, C.L. Tucker III, 'Orientation behavior of fibers in concentrated suspensions', Journal of Reinforced Plastic Composites 3, 98-119, 1984. (https://doi.org/10.1177%2F073168448400300201)
 * __Maier-Saupe__: A. Latz, U. Strautins, D. Niedziela, 'Comparative numerical study of two concentrated fiber suspension models', Journal of Non-Newtonian Fluid Mechanics 165, 764-781, 2010. (https://doi.org/10.1016/j.jnnfm.2010.04.001)
 * __iARD(-RPR)__: Tseng, Huan-Chang; Chang, Rong-Yeu; Hsu, Chia-Hsiang, 'An objective tensor to predict anisotropic fiber orientation in concentrated susp ensions',Journal of Rheology 60, 215, 2016. (https://doi.org/10.1122/1.4939098)
 * __pARD(-RPR)__: Tseng, Huan-Chang; Chang, Rong-Yeu; Hsu, Chia-Hsiang, 'The use of principal spatial tensor to predict anisotropic fiber orientation in concentrated fiber suspensions', Journal of Rheology 62, 313, 2017. (https://doi.org/10.1122/1.4998520)
 * __MRD__: A. Bakharev, H. Yu, R. Speight and J. Wang, “Using New Anisotropic Rotational Diffusion Model To Improve Prediction Of Short Fibers in Thermoplastic Injection Molding," in ANTEC, Orlando, 2018.
 * __RSC__: Jin Wang, John F. O'Gara, and Charles L. Tucker, 'An objective model for slow orientation kinetics in concentrated fiber suspensions: Theory and rheological evidence', Journal of Rheology 52, 1179, 2008. (https://doi.org/10.1122/1.2946437)
 * __ARD-RSC__: J. H. Phelps,  C. L. Tucker, 'An anisotropic rotary diffusion model for fiber orientation in short- and long-fiber thermoplastics', Journal of Non-Newtonian Fluid Mechanics 156, 165-176, 2009.(https://doi.org/10.1016/j.jnnfm.2008.08.002)

## Closures
 * Linear
 * Quadratic
 * IBOF
 * Sampling from directions

## Approximations for equivalent aspect ratios
 * __Cox__: Cox, R.G. The motion of long slender bodies in a viscous fluid. Part 2. Shear flow. J. Fluid Mech. 1971, 45, 625–657.(http://doi.org/10.1017/S0022112071000259)
 * __Zhang__: Zhang, D.; Smith, D.E.; Jack, D.A.; Montgomery-Smith, S. Numerical Evaluation of Single Fiber Motion for Short-Fiber-Reinforced Composite Materials Processing. J. Manuf. Sci. Eng. 2011, 133, 51002.(http://doi.org/10.1115/1.4004831)
 * __Goldsmith-Mason__: Forgacs, O.; Mason, S. Particle motions in sheared suspensions. J. Colloid Sci. 1959, 14, 457–472.(http://doi.org/10.1016/0095-8522(59)90012-1)


