Signorini Cylindrical Waves and Shannon Wavelets
Author
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-26
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
Hyperelastic materials based on Signorini’s strain energy density are studied by using Shannon wavelets.
Cylindrical waves propagating in a nonlinear elastic material from the circular cylindrical cavity along the radius are analyzed in the following by focusing both on the main nonlinear effects and on the method of solution for the corresponding nonlinear differential equation.
Cylindrical waves’ solution of the resulting equations can be easily represented in terms of this family of wavelets.
It will be shown that Hankel functions can be linked with Shannon wavelets, so that wavelets can have some physical meaning being a good approximation of cylindrical waves.
The nonlinearity is introduced by Signorini elastic energy density and corresponds to the quadratic nonlinearity relative to displacements.
The configuration state of elastic medium is defined through cylindrical coordinates but the deformation is considered as functionally depending only on the radial coordinate.
The physical and geometrical nonlinearities arising from the wave propagation are discussed from the point of view of wavelet analysis.
American Psychological Association (APA)
Cattani, Carlo. 2012. Signorini Cylindrical Waves and Shannon Wavelets. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-494232
Modern Language Association (MLA)
Cattani, Carlo. Signorini Cylindrical Waves and Shannon Wavelets. Advances in Numerical Analysis No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-494232
American Medical Association (AMA)
Cattani, Carlo. Signorini Cylindrical Waves and Shannon Wavelets. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-494232
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494232