Editing Fiber simulation

{{Short description|Branch of mechanics that deals with modeling the dynamics and rheology of fibers}}
{{Use American English|date=March 2021}}
{{Use mdy dates|date=March 2021}}

'''Fiber simulation''' is a branch of [[mechanics]] that deals with modeling the [[dynamics (mechanics)|dynamics]] and [[rheology]] of [[fibers]], i.e. particles of large aspect ratio length to diameter. Fiber simulations are used to gain a better understanding of production processes including fibers (textile and paper industry<ref>
{{cite journal
| last1       = Stockie
| first1      = John M. 
| last2      = Green
| first2     = Sheldon I. 
| date       = 1998
| title      = Simulating the Motion of Flexible Pulp Fibres Using the Immersed Boundary Method
| journal    = Journal of Computational Physics
| volume     = 147
| issue      = 1
| pages      = 147–165
| doi        = 10.1006/jcph.1998.6086
| bibcode = 1998JCoPh.147..147S 
| citeseerx      = 10.1.1.33.2125 
}}
</ref>), biological systems<ref>
{{cite journal
| last1       = Dastan
| first1      = Alireza
| last2      = Abouali
| first2     = Omid
| last3      = Ahmadi
| first3     = Goodarz
| date       = 2014
| title      = CFD simulation of total and regional fiber deposition in human nasal cavities
| journal    = Journal of Aerosol Science
| volume     = 69
| pages      = 132–149
| doi      = 10.1016/j.jaerosci.2013.12.008
| bibcode = 2014JAerS..69..132D
}}</ref> or computer graphics.<ref>
{{cite journal
| last1       = Ward
| first1      = Kelly
| last2      = Bertails
| first2     = Florence
| last3      = Kim
| first3     = Tae-yong 
| last4      = Marschner
| first4     = Stephen R.
| last5      = Cani
| first5     = Marie-paule
| last6      = Lin
| first6     = Ming C. 
| date       = 2007
| title      = A Survey on Hair Modeling: Styling, Simulation, and Rendering
| journal    = IEEE Transactions on Visualization and Computer Graphics 
| volume     = 13
| issue      = 2
| pages      = 213–234
| doi        = 10.1109/TVCG.2007.30
| pmid = 17218740
| citeseerx      = 10.1.1.132.1734
| s2cid = 6288895
}}
</ref>

== Modeling fibers ==
Many of the models used to simulate fibers were developed by researchers in the field of [[rheology]]. Rheologically speaking fiber suspensions are [[non-Newtonian fluid]]s, and can display [[normal stress]] differences.

== Simulation techniques ==
Early fiber simulations employed particles which were rigid rods or prolate [[spheroids]], whose [[equation of motion|equations of motion]] have analytical solutions.  More recent models are able to represent flexible fibers. The models rely heavily on [[continuum mechanics]] concepts<ref>
{{cite book |last=Antman |first=Stuart S. |date=2005 |title=Nonlinear Problems of Elasticity |url=https://www.springer.com/de/book/9780387208800#otherversion=9780387276496 |publisher=Springer |isbn=978-0-387-27649-6|series=Applied Mathematical Sciences }}
</ref>  and the numerical methods employed have some similarities to those employed in [[molecular dynamics]], or in  dynamics of multi body systems.

The use of computers facilitates greatly the solution of fiber simulation problems. The complexity of the simulations arise from the system having a large number of [[degrees of freedom (physics and chemistry)|degrees of freedom]], and from the numerous possible interparticle interactions having place, such as [[friction]], hydrodynamic interactions, and other kinds of interparticle forces such as [[colloidal]] forces that exert attractive or repulsive forces.

== References ==
{{reflist}}

{{DEFAULTSORT:Fiber Simulation}}
[[Category:Materials science]]