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To the Solving of the Nonstationary Spatial Lamb—Cerutti Problem

  • D. Prikazchikov
  • Yu. Protserov
  • N. VaysfeldEmail author
Conference paper
Part of the Structural Integrity book series (STIN, volume 8)

Abstract

The nonstationary Lamb-Cerutti problem was solved in the spatial statement for the elastic half-plane. Explicit formulae in the Laplace transform domain were derived. The solution was provided in detail for the case of steady state tangential and normal loads. Explicit formulae for the stresses and displacements of the half-space for both normal and tangent load were obtained.

Keywords

Lamb-Cerutti problem Nonstationary Spatial Explicit form Integral transforms 

Notes

Acknowledgements

Support through the Erasmus + KA107 framework is gratefully acknowledge. The authors are also indebted to Prof J. Kaplunov for fruitful discussions.

References

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    Sonin, N.Y.: The Investigation of Cylindrical Functions and Special Polynomials (in Russian). Gostexizdat, Moscow (1954)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsKeele UniversityStaffordshireUK
  2. 2.Department of Mathematics, Physics and ITOdesa Mechnikov UniversityOdesaUkraine

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