Wave curves with the presence of an umbilic point and an umbilic line for plane waves in isotropic elastic solids

Wave Motion ◽  
1991 ◽  
Vol 13 (3) ◽  
pp. 277-290
Author(s):  
Guangshan Zhu ◽  
T.C.T. Ting
Keyword(s):  
Plane Waves ◽  
Umbilic Point ◽  
Elastic Solids

scholarly journals Erratum to: Plane waves and fundamental solution in an electro-microstretch elastic solids

2014 ◽  
Vol 25 (2) ◽  
pp. 499-499
Author(s):  
Saurav Sharma ◽  
Kunal Sharma ◽  
Raj Rani Bhargava
Keyword(s):  
Fundamental Solution ◽  
Plane Waves ◽  
Elastic Solids

On the Reflexion and Refraction of Solitary Plane Waves at a Plane Interface between two Isotropic Elastic Mediums—Fluid, Solid, or Ether

1899 ◽  
Vol 22 ◽  
pp. 366-378
Author(s):  
Lord Kelvin
Keyword(s):  
Unit Volume ◽  
Natural Philosophy ◽  
Equations Of Motion ◽  
Plane Waves ◽  
Elastic Solid ◽  
Elastic Solids ◽  
Rotational Components ◽  
Classical Paper ◽  
Electro Magnetic ◽  
Mutual Action

§ 1. “Elastic solid” includes fluid and ether; except conceivable dynamics of the mutual action across the interface of the two mediums. Maxwell's electro-magnetic equations for a homogeneous non-conductor of electricity are identical with the equations of motion of an incompressible elastic solid, or with the equations expressing the rotational components of the motion of an elastic solid compressible or incompressible; but not so their application to a heterogeneous non-conductor or to the interface between two homogeneous non-conductors.§ 2. The equations of equilibrium of a homogeneous elastic solid, under the influence of forces X, Y, Z, per unit volume, acting at any point (x, y, z) of the substance are given in Stokes' classical paper “On the Theories of the Internal Friction of Fluids in Motion, and of the Equilibrium and Motion of Elastic Solids,” p. 115, vol. i. of his Mathematical Papers; also in Thomson and Tait's Natural Philosophy [§ 698 (5) (6)].

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