Shear waves in a semi-infinite visco-elastic medium due to a sudden twist applied at a point on the plane boundary

1961 ◽  
Vol 12 (6) ◽  
pp. 558-563
Author(s):  
Subhendu K. Datta
Keyword(s):  
Elastic Medium ◽  
Shear Waves ◽  
Plane Boundary

Transverse surface waves in magneto-elasticity

1966 ◽  
Vol 62 (3) ◽  
pp. 541-545 ◽  
Author(s):  
C. M. Purushothama
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Surface Waves ◽  
Elastic Medium ◽  
Uniform Magnetic Field ◽  
Shear Waves ◽  
Plane Shear ◽  
Electrically Conducting ◽  
Velocity Of Propagation

AbstractIt has been shown that uncoupled surface waves of SH type can be propagated without any dispersion in an electrically conducting semi-infinite elastic medium provided a uniform magnetic field acts non-aligned to the direction of wave propagation. In general, the velocity of propagation will be slightly greater than that of plane shear waves in the medium.

A Diffraction Problem and Crack Propagation

1967 ◽  
Vol 34 (1) ◽  
pp. 100-103 ◽  
Author(s):  
A. Jahanshahi
Keyword(s):  
Exact Solution ◽  
Stress Field ◽  
Crack Propagation ◽  
Elastic Medium ◽  
Half Plane ◽  
Diffraction Problem ◽  
Shear Waves ◽  
Stress Waves ◽  
Plane Crack ◽  
Antiplane Strain

The exact solution to the problem of diffraction of plane harmonic polarized shear waves by a half-plane crack extending under antiplane strain is constructed. The solution is employed to study the nature of the stress field associated with an extending crack in an elastic medium excited by stress waves.

Quasi-Static Stresses Due to Moving Temperature Discontinuity on a Plane Boundary

1966 ◽  
Vol 33 (4) ◽  
pp. 814-816 ◽  
Author(s):  
A. Jahanshahi
Keyword(s):  
Closed Form ◽  
Elastic Medium ◽  
Closed Form Solution ◽  
Form Solution ◽  
Plane Boundary ◽  
Heated Region ◽  
Plane State ◽  
Uniform Velocity ◽  
Temperature Discontinuity ◽  
Thermoelastic Theory

Closed-form solution is constructed to plane state of strain generated in a semi-infinite elastic medium when a portion of its boundary is heated. The heated region is assumed to be moving with uniform velocity. It is shown that stresses are bounded everywhere and are identically zero when the velocity of the moving temperature discontinuity vanishes. The study is based on uncoupled quasi-static thermoelastic theory.

The elastic stresses produced in a thick plate by the application of pressure to its free surfaces

1946 ◽  
Vol 42 (3) ◽  
pp. 260-271 ◽  
Author(s):  
I. N. Sneddon
Keyword(s):  
Free Surface ◽  
Rigid Body ◽  
Elastic Medium ◽  
Thick Plate ◽  
Normal Displacement ◽  
Plane Boundary ◽  
Free Surfaces ◽  
Boussinesq Problem ◽  
Elastic Stresses ◽  
Distribution Of Stress

In a recent paper (1) an analysis was given of the distribution of stress in a semi-infinite elastic medium deformed by the pressure of a rigid body on part of the plane boundary, the remainder of the plane being free. In that form of the problem—the so-called ‘Boussinesq problem’—the normal displacement of a point within the pressed area was prescribed and the distribution of pressure over that area determined. In this paper the corresponding analysis is given for the case in which the pressed area and the distribution of pressure over it are both prescribed and the normal displacement of a point on the free surface is determined.

Complete phenomenon of reflection at the plane boundary of a dissipative anisotropic elastic medium

2020 ◽  
Vol 224 (2) ◽  
pp. 1015-1027
Author(s):  
M D Sharma ◽  
Suman Nain
Keyword(s):  
Elastic Medium ◽  
Propagation Velocity ◽  
Sagittal Plane ◽  
Amplitude Ratio ◽  
Plane Waves ◽  
Plane Boundary ◽  
Dual Vector ◽  
Inhomogeneous Waves ◽  
Slowness Vector ◽  
Anisotropic Elastic

SUMMARY A complex slowness vector governs the 3-D propagation of harmonic plane waves in a dissipative elastic medium with general anisotropy. In any sagittal plane, this dual vector is specified with phase direction, propagation velocity and coefficients for attenuation. A generalized reflection phenomenon is illustrated for incidence of inhomogeneous waves at the stress free boundary of the medium. Each reflected wave at the boundary is characterized by its propagation direction, propagation velocity, inhomogeneity, amplitude ratio, phase shift and energy flux. These propagation characteristics are exhibited graphically for a numerical example of anisotropic viscoelastic medium.

Linear dispersive shear waves in two-layer elastic medium

1973 ◽  
Vol 27 (1) ◽  
pp. 451-462
Author(s):  
W. C. Lin ◽  
G. A. Nariboli
Keyword(s):  
Elastic Medium ◽  
Shear Waves
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