Acta Mechanica

, Volume 58, Issue 1–2, pp 59–66 | Cite as

The Boussinesq-Flamant problem for an elastic nonlocal half-infinite space

  • J. L. Nowinski
Contributed Papers
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Summary

Transmission of a concentrated force into a half-infinite elastic medium is examined assuming that the medium has nonlocal properties. The values of the nonlocal moduli are adopted from the known studies on the wave propagation in nonlocal media. Field equations are solved by using the Fourier transform technique. Inversion of the equations obtained for the stresses and displacements shows that the equations for stresses coincide with those predicted by the conventional theory. The equations for the displacements differ, however, from their classical counterparts, and can only be evaluated approximately. The first approximation leads to the classical equations. The fourth approximation derived for the Poisson material close to the line of loading displays deviations from the classical values amounting to 35%.

Keywords

Fourier Dynamical System Fourier Transform Fluid Dynamics Wave Propagation 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • J. L. Nowinski
    • 1
  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of DelawareNewarkUSA

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