Interaction of shock-wave fronts with interface of transversely isotropic elastic media

1999 ◽  
Vol 35 (4) ◽  
pp. 349-355
Author(s):  
V. I. Gulyaev ◽  
P. Z. Lugovoi ◽  
G. M. Ivanchenko ◽  
E. V. Yakovenko
Keyword(s):  
Shock Wave ◽  
Transversely Isotropic ◽  
Elastic Media ◽  
Wave Fronts

The diffraction of a shock wave at the curvilinear interface of transversely isotropic elastic media

2000 ◽  
Vol 64 (3) ◽  
pp. 379-386 ◽  
Author(s):  
V.I. Gulyayev ◽  
P.Z. Lugovoi ◽  
G.M. Ivanchenko ◽  
Ye.V. Yakovenko
Keyword(s):  
Shock Wave ◽  
Transversely Isotropic ◽  
Elastic Media ◽  
Curvilinear Interface

Numerical simulation of shock wave processes in elastic media and structures. Part II: Application results

2012 ◽  
Vol 48 (5) ◽  
pp. 839-855 ◽  
Author(s):  
M. V. Ayzenberg-Stepanenko ◽  
E. N. Sher ◽  
G. G. Osharovich ◽  
Z. Sh. Yanovitskaya
Keyword(s):  
Numerical Simulation ◽  
Shock Wave ◽  
Elastic Media ◽  
Wave Processes

Reflection and Transmission of Elastic-Plastic Spherical Waves at a Spherical Interface

1975 ◽  
Vol 42 (4) ◽  
pp. 837-841 ◽  
Author(s):  
M. G. Srinivasan
Keyword(s):  
Shock Wave ◽  
Spherical Wave ◽  
Acceleration Wave ◽  
Wave Fronts ◽  
Reflection And Transmission ◽  
Elastic Plastic ◽  
Spherical Waves ◽  
The Many ◽  
Discontinuity Conditions ◽  
Spherical Interface

When a spherical wave is incident on a spherical interface of two different elastic-plastic, rate-independent materials, which of the many different admissible cases of reflection and transmission will actually occur must be determined in order to extend any numerical solution for subsequent times. An analytical method for this determination in terms of the known solution for times just prior to the incidence of the wave is outlined. The wave considered may be either an acceleration wave or a shock wave. The discontinuity conditions across the wave fronts and the continuity of displacement at the interface form the basis of this method and examples are given for illustration.

A Unified Approach to Cylindrical and Spherical Elastic Waves by Method of Characteristics

1966 ◽  
Vol 33 (1) ◽  
pp. 159-167 ◽  
Author(s):  
Pei Chi Chou ◽  
H. A. Koenig
Keyword(s):  
Numerical Integration ◽  
Excellent Agreement ◽  
Elastic Waves ◽  
Digital Computer ◽  
Method Of Characteristics ◽  
Elastic Media ◽  
Generalized Equations ◽  
Unified Approach ◽  
Wave Fronts ◽  
Abrupt Changes

A set of generalized equations is presented which governs the propagation of plane, cylindrical, and spherical dilatation waves in elastic media. The corresponding characteristic equations are then derived, including the propagation of abrupt changes (discontinuous wave fronts). Procedures of numerical integration along the characteristic directions are established and carried out for several examples on a digital computer. The solutions of four of the specific examples calculated show excellent agreement with existing solutions by other methods.

Stress Analysis of Multilayered Anisotropic Elastic Media

1991 ◽  
Vol 58 (2) ◽  
pp. 382-387 ◽  
Author(s):  
Hyung Jip Choi ◽  
S. Thangjitham
Keyword(s):  
Stress Analysis ◽  
Stiffness Matrix ◽  
Transversely Isotropic ◽  
Solution Procedure ◽  
Plane Elasticity ◽  
Elastic Media ◽  
Surface Traction ◽  
Anisotropic Elastic ◽  
The Fourier Transform ◽  
Infinite Media

The stress analysis of multilayered anisotropic media subjected to applied surface tractions is performed within the framework of linear plane elasticity. The solutions are obtained based on the Fourier transform technique together with the aid of the stiffness matrix approach. A general solution procedure is introduced such that it can be uniformly applied to media with transversely isotropic, orthotropic, and monoclinic layers. As an illustrative example, responses of the semi-infinite media composed of unidirectional and angle-ply layers to a given surface traction are presented.

scholarly journals Migration/inversion for transversely isotropic elastic media

1994 ◽  
Vol 119 (2) ◽  
pp. 667-683 ◽  
Author(s):  
David W. S. Eaton ◽  
Robert R. Stewart
Keyword(s):  
Transversely Isotropic ◽  
Elastic Media
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