Title :
On nonlinear elastic waves in a circular plate
Author :
Samsonov, Alexander M. ; Shevchenko, Denis V.
Author_Institution :
Theor. Dept., Russian Acad. Sci., St. Petersburg, Russia
Abstract :
The problem on longitudinal deformation wave propagation is considered in a homogeneous isotropic non-linear elastic disk, finite in two directions r and φ, and very thin in z. Depending on small parameter introduction different equations are derived and several exact solutions are obtained
Keywords :
elastic waves; solitons; wave propagation; 2D waveguides; circular plate; exact solutions; homogeneous isotropic nonlinear elastic disk; longitudinal deformation wave propagation; nonlinear elastic waves; nonlinear wave propagation; small parameter; soliton propagation; two-dimensional waveguides; Differential equations; Elasticity; Geometry; High performance computing; Lagrangian functions; Nonlinear equations; Nonlinear wave propagation; Partial differential equations; Solids; Tensile stress;
Conference_Titel :
Day on Diffraction 2001. Proceedings. International Seminar
Conference_Location :
St.Petersburg
Print_ISBN :
5-7997-0366-9
DOI :
10.1109/DD.2001.988479
