Compact waves on planar elastic rods

Planar Kirchhoff elastic rods with non-linear constitutive relations are shown to admit traveling wave solutions with compact support. The existence of planar compact waves is a general property of all non-linearly elastic intrinsically straight rods, while intrinsically curved rods do not exhibit t...

Full description

Bibliographic Details
Main Authors: Durickovic, B, Goriely, A, Saccomandi, G
Format: Journal article
Language:English
Published: 2009
Description
Summary:Planar Kirchhoff elastic rods with non-linear constitutive relations are shown to admit traveling wave solutions with compact support. The existence of planar compact waves is a general property of all non-linearly elastic intrinsically straight rods, while intrinsically curved rods do not exhibit this type of behavior. © 2008 Elsevier Ltd. All rights reserved.