Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces

4Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.
Get full text

Abstract

The nonlinear wave equation∂2T/∂X2=∂/∂t[∂T/∂t(1 +T2+X2)2] provides a Lagrangian description of one-dimensional stress propagation in a class of model inhomogeneous ideally hard elastic materials. The equation is privileged in that it is associated with pseudospherical surfaces with constant Gaussian curvature K script sign =-1. Here, exact representations for the stress distribution evolution in model elastic materials are obtained corresponding to classical Beltrami and Dini surfaces as well as a two-soliton pseudospherical surface generated via the classical Bäcklund transformation. © 2003 Elsevier Ltd. All rights reserved.

Cite

CITATION STYLE

APA

Rogers, C., Schief, W. K., & Wylie, J. (2003). Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces. International Journal of Engineering Science, 41(17), 1965–1974. https://doi.org/10.1016/S0020-7225(03)00111-3

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free