Ingenieur-Archiv

, Volume 60, Issue 4, pp 213–224 | Cite as

Axisymmetric bonded punch problem: A complete solution

  • V. I. Fabrikant
Originals

Summary

Explicit expressions are derived for the field of stresses and displacements around an axisymmetric punch bonded to a transversely isotropic elastic half-space. The method is based on the new results in potential theory obtained by the author earlier. A flat centrally loaded circular punch is considered as an example. Specific computations were performed in order to compare the elastic field in the vicinity of a bonded punch with similar parameters for a smooth punch.

Keywords

Neural Network Complex System Information Theory Nonlinear Dynamics Explicit Expression 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Eine vollständige Lösung des Stempelproblems bei Axialsymmetrie und Haften

Übersieht

Für die Spannungs- und Verschiebungsfelder eines transversal-isotropn elastischen Halbraums, der unter Haftbedingung von einem axialsymmetrischen Stempel belastet ist, werden explizite Formeln hergeleitet. Die dazu benutzte Methode beruht auf neueren Ergebnissen des Autors in der Potentialtheorie. Als Beispiel wird ein zentrisch belasteter, flacher Kreisstempel behandelt. Als numerische Ergebnisse werden die Verschiebungsfelder in der Umgebung eines haftenden und glatten Stempels bei gleichen Parameterbedingungen zum Vergleich vorgestellt.

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References

  1. 1.
    Elliott, H. A.: Three-dimensional stress distributions in hexagonal aeolotropic crystals. Proc. Cambridge Phil. Sec. 44 (1948) 522–533Google Scholar
  2. 2.
    Fabrikant, V. I.: Applications of potential theory in mechanics. Selection of new results. Kluwer Academic 1989Google Scholar
  3. 3.
    Fabrikant, V. I.: Four types of exact solutions to the problem of an axisymmetric punch bonded to a transversely isotropic half-space. Int. J. Eng. Sci. 24 (1986) 785–801Google Scholar
  4. 4.
    Fabrikant, V. I.: Axially symmetric problem of a stamp on a transversely isotropic half-space. Mechan. Solids 6 (1971) 121–125Google Scholar
  5. 5.
    Fabrikant, V. I.: Effect of concentrated force on a transversely isotropic elastic body (in Russian). Izvestiia Vysshikh Uchebnykh Zavedenii, Mashinostroenie 3 (1970) 9–12Google Scholar
  6. 6.
    Kapshivyi, A. A.; Masliuk, G. F.: The solution of the mixed axisymmetric problem from the theory of elasticity for a half-space by the method ofp-analytic functions. Sov. Appl. Mech. 3, No. 7 (1967) 13–16Google Scholar
  7. 7.
    Mossakovskii, V. I.: The fundamental mixed problem of the theory of elasticity for a half-space with a circular line separating the boundary conditions (in Russian). Prikladnaia Matematika i Mekhanika 18 (1954) 187–196Google Scholar
  8. 8.
    Ufliand, Ia. S.: The contact problem of the theory of elasticity for a die, circular in its plane, in the presence of adhesion (in Russian). Prikladnaia Matematika i Mekhanika 20 (1956) 578–587Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • V. I. Fabrikant
    • 1
  1. 1.Dept. of Mechanical EngineeringConcordia UniversityMontrealCanada

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