Eshelby-like forces acting on elastic structures: Theoretical and experimental proof

The Eshelbian (or configurational) force is the main concept of a celebrated theoretical framework associated with the motion of dislocations and, more in general, defects in solids. In a similar vein, in an elastic structure where a (smooth and bilateral) constraint can move and release energy, a f...

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Bibliographic Details
Published inMechanics of materials Vol. 80; pp. 368 - 374
Main Authors Bigoni, D., Dal Corso, F., Bosi, F., Misseroni, D.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.01.2015
Subjects
Analogies
Asymptotic properties
Calculus of variations
Configurational force
Deformation mechanisms
Dislocations
Elastica
Eshelbian mechanics
Formability
Material force
Mathematical analysis
Nanostructure
Material force
Eshelbian mechanics
Elastica
Configurational force
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Summary:The Eshelbian (or configurational) force is the main concept of a celebrated theoretical framework associated with the motion of dislocations and, more in general, defects in solids. In a similar vein, in an elastic structure where a (smooth and bilateral) constraint can move and release energy, a force driving the configuration is generated, which therefore is called by analogy ‘Eshelby-like’ or ‘configurational’. This force (generated by a specific movable constraint) is derived both via variational calculus and, independently, through an asymptotic approach. Its action on the elastic structure is counterintuitive, but is fully substantiated and experimentally measured on a model structure that has been designed, realized and tested. These findings open a totally new perspective in the mechanics of deformable mechanisms, with possible broad applications, even at the nanoscale.
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ISSN:0167-6636
1872-7743
DOI:10.1016/j.mechmat.2013.10.009