On nonlinear elastic waves in a circular plate

The problem on longitudinal deformation wave propagation is considered in a homogeneous isotropic non-linear elastic disk, finite in two directions r and /spl phi/, and very thin in z. Depending on small parameter introduction different equations are derived and several exact solutions are obtained.

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Bibliographic Details
Main Authors: Samsonov, A.M., Shevchenko, D.V.
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Elasticity
Geometry
High performance computing
Lagrangian functions
Nonlinear equations
Nonlinear wave propagation
Partial differential equations
Solids
Tensile stress
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Summary:The problem on longitudinal deformation wave propagation is considered in a homogeneous isotropic non-linear elastic disk, finite in two directions r and /spl phi/, and very thin in z. Depending on small parameter introduction different equations are derived and several exact solutions are obtained.
DOI:10.1109/DD.2001.988479