Cnoidal and gausson phenomena in nonlinear elastodynamics

Cnoidal and gausson phenomena in nonlinear elastodynamics A nonlinear elastodynamic system is investigated which is descriptive of transverse wave propagation in an isotropic, incompressible, hyperelastic material subject to body forces associated with a nonlinear substrate potential. Notably, by introducing an appropriate ansatz, both cnoidal and gausson-type exact solutions are isolated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Springer Journals

Cnoidal and gausson phenomena in nonlinear elastodynamics

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer-Verlag GmbH Austria, part of Springer Nature
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Continuum Mechanics and Mechanics of Materials; Structural Mechanics; Vibration, Dynamical Systems, Control; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0001-5970
eISSN
1619-6937
D.O.I.
10.1007/s00707-018-2187-2
Publisher site
See Article on Publisher Site

Abstract

A nonlinear elastodynamic system is investigated which is descriptive of transverse wave propagation in an isotropic, incompressible, hyperelastic material subject to body forces associated with a nonlinear substrate potential. Notably, by introducing an appropriate ansatz, both cnoidal and gausson-type exact solutions are isolated.

Journal

Acta MechanicaSpringer Journals

Published: Jun 1, 2018

References

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