2020
DOI: 10.48550/arxiv.2008.09453
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Global bifurcation of anti-plane shear fronts

Robin Ming Chen,
Samuel Walsh,
Miles H. Wheeler

Abstract: We consider anti-plane shear deformations of an incompressible elastic solid whose reference configuration is an infinite cylinder with a cross section that is unbounded in one direction. For a class of generalized neo-Hookean strain energy densities and live body forces, we construct unbounded curves of front-type solutions using global bifurcation theory. Some of these curves contain solutions with deformations of arbitrarily large magnitude.

Help me understand this report
View published versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 19 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?