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Compact waves on planar elastic rods |
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| Authors: | Bojan ?uri?kovi? Alain Goriely Giuseppe Saccomandi |
| Institution: | a Program in Applied Mathematics, University of Arizona, AZ 85721, USA b Program in Applied Mathematics and Department of Mathematics, University of Arizona, AZ 85721, USA c Dipartimento di Ingegneria Industriale, Universitá degli Studi di Perugia, 06125 Perugia, 16125 Perugia, Italy |
| Abstract: | 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. |
| Keywords: | Rods Waves Solitary waves Compact solutions |
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