On the speed of propagation of waves in a deformed compressible elastic material

1978 ◽  
Vol 29 (2) ◽  
pp. 245-251 ◽  
Author(s):  
K. N. Sawyers ◽  
R. S. Rivlin
Keyword(s):  
Elastic Material ◽  
Speed Of Propagation ◽  
Propagation Of Waves

Propagation of electromagnetic waves in circular rods in torsion

1963 ◽  
Vol 255 (1059) ◽  
pp. 389-416 ◽  
Keyword(s):  
Magnetic Field ◽  
Magnetic Induction ◽  
Constitutive Equations ◽  
Electromagnetic Waves ◽  
Linear Functions ◽  
Static Deformation ◽  
Polynomial Functions ◽  
Electric And Magnetic Field ◽  
Speed Of Propagation ◽  
Propagation Of Waves

Invariance considerations are employed to write down constitutive equations governing the propagation of electromagnetic waves in isotropic materials with a centre of symmetry which are subject to a static deformation. It is assumed that the dielectric displacement and magnetic induction vectors are linear functions of the electric and magnetic field intensities, respectively, but are general polynomial functions in the quantities which specify the deformation. The theory is employed to examine propagation along circular cylindrical rods in torsion. Rotating waves are produced whose speed of propagation and rate of rotation depend upon the magnitude of the deformation and the properties of the material. The nature of these waves is examined for the general case where there is no restriction either upon the amount of torsion or upon the magnitude of the effect. When the amount of torsion, or the dependence of the effect upon deformation is small, solutions can be obtained based upon those for the propagation of waves in undeformed materials.

On the Propagation of Finite Disturbances in Bars of Rubberlike Materials

1965 ◽  
Vol 87 (4) ◽  
pp. 523-529 ◽  
Author(s):  
J. L. Nowinski
Keyword(s):  
Particle Velocity ◽  
Finite Deformation ◽  
Deformation Theory ◽  
Finite Amplitude ◽  
Theory Of Elasticity ◽  
Explicit Solutions ◽  
Speed Of Propagation ◽  
Finite Deformation Theory ◽  
Propagation Of Waves ◽  
Rubberlike Materials

The existing theory of propagation of waves of finite amplitude is applied to rubberlike materials using a rigorous finite deformation theory of elasticity. Mooney-Rivlin and Neo-Hookean bodies are investigated in more detail, and explicit solutions are given for the speed of propagation, the particle velocity, and the conditions at the shock front. A numerical example concerning the Neo-Hookean body is given.

scholarly journals THE UPPER BOUND OF THE SPEED OF PROPAGATION OF WAVES ALONG A TRANSMISSION LINE

2020 ◽  
Vol 93 ◽  
pp. 119-125
Author(s):  
Vernon Cooray ◽  
Gerald Cooray ◽  
Farhad Rachidi ◽  
Marcos Rubinstein
Keyword(s):  
Transmission Line ◽  
Upper Bound ◽  
Speed Of Propagation ◽  
Propagation Of Waves

Transient Propagation of Waves in a Flume

1993 ◽  
Author(s):  
Kwok Fai Cheung ◽  
Michael Isaacson ◽  
Etienne Mansard
Keyword(s):  
Propagation Of Waves

Comparison between elastic and porous elastic material models for sediment acoustical behavior in an aluminum-sediment double layer

2021 ◽  
Vol 43 (5) ◽  
Author(s):  
Omid Bahrami Khameslouie ◽  
Mohammad Hossein Soorgee ◽  
Ehsan Ghafarallahi ◽  
Seyed Ebrahim Moussavi Torshizi
Keyword(s):  
Double Layer ◽  
Elastic Material ◽  
Material Models

Inverse problems for finite Jacobi matrices and Krein–Stieltjes strings

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Mikhaylov ◽  
Victor Mikhaylov
Keyword(s):  
Dynamical System ◽  
Inverse Problems ◽  
Jacobi Matrix ◽  
Jacobi Matrices ◽  
Unknown Parameters ◽  
Stieltjes String ◽  
Propagation Of Waves ◽  
Dynamic Inverse

Abstract We consider dynamic inverse problems for a dynamical system associated with a finite Jacobi matrix and for a system describing propagation of waves in a finite Krein–Stieltjes string. We offer three methods of recovering unknown parameters: entries of a Jacobi matrix in the first problem and point masses and distances between them in the second, from dynamic Dirichlet-to-Neumann operators. We also answer a question on a characterization of dynamic inverse data for these two problems.

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