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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 112 (1974), S. 352-364 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary A theoretical investigation is made into the propagation of small-amplitude waves across the free surface of an elastic medium, whose strain-energy function is of Mooney form. The medium is taken to be semi-infinite in extent, and to be subjected to a large primary extension (or compression) in a direction lying in the free surface. The dispersion equation is derived and the general nature of its solutions is explored. Detailed numerical results are given for certain special cases.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 83 (1970), S. 9-20 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary The decay of waves of small amplitude in a viscous liquid of finite depth is investigated. It is shown that the various modes may be conveniently classified and that in many limiting cases the modes of aperiodic decay are of particular importance. Detailed numerical results are given for these modes.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 110 (1973), S. 1977-1981 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary A theoretical study is made of the propagation ofSH waves of small amplitude in an infinite elastic plate subjected to a primary normal stress. It is shown that the effect of the stress may be represented by a re-scaling of the plate thickness, provided that one elastic constant is also redefined suitably.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 79 (1970), S. 41-52 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary The problem of the flow of a viscous liquid layer down an inclined plane is analyzed in the case in which the local viscosity depends linearly upon the height above the plane. By an application ofYih's technique, the velocity of long waves is calculated and the criterion for their stability is established. These are then compared with the corresponding results for a homogeneous layer.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 112 (1974), S. 665-674 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary For a semi-infinite incompressible elastic medium which is subjected to a large primary extension (or compression) in a directionOX 1 parallel to the free surfaceOX 1 X 2, the dispersion equation is derived for surface waves of small amplitude. It is shown in particular that in some cases for directions of propagation close toOX 2, the surface waves exhibit novel features in that the displacement at the surface is almost parallel toOX 1, that is, nearly transverse to the direction of wave-propagation.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 102 (1973), S. 182-192 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary The propagation of waves of small amplitude in an incompressible elastic medium subjected to a large homogeneous equibiaxial stress is investigated. The dispersion equation for surface waves on a semi-infinite medium is obtained explicitly, and the dispersion equation for waves in a slab of finite depth. In the latter case, approximate values, valid for waves whose lengths are much greater than the slab thickness, are determined for the phase-velocities of the different modes.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 93 (1972), S. 5-18 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary The propagation of waves of small amplitude in an elastic medium, with a particular form of strain-energy function, and subjected to a large homogeneous uniaxial stress, is considered in detail. The main characteristics, including speed and polarisation, of these waves in an unbounded medium are calculated numerically, and the existence and general properties of Rayleigh waves on the surface of a semi-infinite medium are investigated.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 71 (1968), S. 56-65 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary The problem of the flow of a layer of viscous liquid down an inclined plane is reexamined under boundary conditions modified to take account of drag and penetration at the plane surface of the bed. It is shown that these effects may be such as to cause a severe modification of the stability criterion for long waves. The theory is applied to the case of an underlying porous bed.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 110 (1973), S. 1967-1976 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary The propagation of waves of small amplitude in an elastic medium composed of Hadamard material, satisfying also the Ordered Forces condition and the Strong Ellipticity condition, and subjected to a large homogeneous biaxial stress, is investigated in detail. Consideration is given to the existence and general properties of Rayleigh waves on the surface of a semi-infinite medium, and to the propagation of plate waves in a medium of finite thickness.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 95 (1972), S. 48-58 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary The propagation of small-amplitude plane waves through a homogeneous, isotropic elastic medium, with a particular form of strain-energy function and subjected to a large primary deformation, produced by a homogeneous biaxial stress, is considered in detail. The properties of such waves in an unbounded medium, the conditions for their existence, their speeds and their polarisations are investigated and similar results are also obtained for Rayleigh surface waves.
    Type of Medium: Electronic Resource
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