Deformations of a 2D Elastica under a random distribution of normal loads

We describe the deformations of a 2D elastic structure (beam, rod or filament) subjected to randomly distributed local orthogonal forces. The fiber is in quasistatic equilibrium condition when a given force distribution is acting on it. To analyze the effects of force fluctuations on the observed co...

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Published inEPJ Web of conferences Vol. 249; p. 10006
Main Authors Trejo, Miguel, Lazarus, Arnaud, Vandembroucq, Damien, Kolb, Evelyne
Format Journal Article Conference Proceeding
LanguageEnglish
Published Les Ulis EDP Sciences 01.01.2021
Subjects
Online AccessGet full text
ISSN2100-014X
2101-6275
2100-014X
DOI10.1051/epjconf/202124910006

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Abstract We describe the deformations of a 2D elastic structure (beam, rod or filament) subjected to randomly distributed local orthogonal forces. The fiber is in quasistatic equilibrium condition when a given force distribution is acting on it. To analyze the effects of force fluctuations on the observed configurations, we study the behavior of the bending moment at the origin and the filament curvature, as a function of nominal values of the local mean forces and small, moderate and large fluctuations around them.
AbstractList We describe the deformations of a 2D elastic structure (beam, rod or filament) subjected to randomly distributed local orthogonal forces. The fiber is in quasistatic equilibrium condition when a given force distribution is acting on it. To analyze the effects of force fluctuations on the observed configurations, we study the behavior of the bending moment at the origin and the filament curvature, as a function of nominal values of the local mean forces and small, moderate and large fluctuations around them.
Author Trejo, Miguel
Lazarus, Arnaud
Vandembroucq, Damien
Kolb, Evelyne
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Cites_doi 10.1083/jcb.200601060
10.1038/ncomms15568
10.1088/1478-3975/aa90dd
10.1098/rspa.2015.0547
10.1103/PhysRevE.97.022901
10.1007/978-1-4757-4147-6
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References Kolb (R2) 2017; 14
Algarra (R5) 2018; 97
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Brangwynne (R3) 2006; 173
Shaebani (R4) 2017; 8
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StartPage 10006
SubjectTerms Bending moments
Elastic deformation
Elastica
Equilibrium conditions
Force distribution
Stress concentration
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Title Deformations of a 2D Elastica under a random distribution of normal loads
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