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Wave fronts in elastic membranes

โœ Scribed by H. Cohen; Marcelo Epstein

Publisher
Springer Netherlands
Year
1982
Tongue
English
Weight
739 KB
Volume
12
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

This paper deals with nonlinear wave propagation in hyperelastic membranes from the point of view of wave front analysis. Conditions are formulated under which all three wave types which can propagate sweep out the same system of wave fronts on the membrane. Particular emphasis is placed on the situation arising when the membrane material is homogeneous, uni-directional homogeneous, and homogeneous-isotropic. The general form of the growth-decay equation governing the amplitude of acceleration waves is derived and discussed.

๐Ÿ“œ SIMILAR VOLUMES

Wave propagation in elastic membranes
Wave propagation in elastic membranes
โœ H. Cohen; A. B. Berkal ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 661 KB

The problem of wave propagation in linear elastic membranes is treated using the method of Hadamard. Speeds of propagation, wave shape and decay, as well as coupling effects, are obtained for longitudinal and transverse waves. Examples are considered which illustrate the features of the theory. ##