Archive of Applied Mechanics

, Volume 67, Issue 1–2, pp 81–95 | Cite as

Green functions for an incompressible linearly nonhomogeneous half-space

  • G. Muravskii


Time-harmonic vibrations of an incompressible half-space having shear modulus linearly increasing with depth are studied. The half-space is subjected to a surface load which has vertical or hovizontal direction. The general solution of the time-harmonic, in the vertical direction nonhomogeneous problem is constructed for arbitrary angular distribution in the horizontal plane. Numerical results concerning surface displacements due to a point force are given for the case of nonzero shear modulus at the surface. These results show that nonhomogeneity can considerably increase amplitudes at large distances from the applied force.

Key words

time-harmonic vibration nonhomogeneous half-space incompressibility surface load linearly varying shear modulus 


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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • G. Muravskii
    • 1
  1. 1.Faculty of Civil EngineeringTECHNIONHaifaIsrael

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