Skip to main content
Log in

Abstract

In this paper we study, via fixed point and subdifferential arguments, the existence of solutions for a variational inequality which models the dynamics of a pile penetrating into the ground through the action of a pile hammer. This line of reasoning reduces the variational inequality we considered to a nonlinear evolution equation involving a monotone operator.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ekeland, I., Teman, R.,Analyse Convexe et Problèmes Variationnels, Études Mathématiques, Dunod, Paris, (1974).

    MATH  Google Scholar 

  2. Raupp, M. A., Feijóo, R. A. e Moura, C. A. de,A Nonlinear Problem in Dynamic Visco-Elasticity with Friction, Bol. Soc. Bras. Mat., vol. 9, no. 1,pp. 61–82, (1978).

    MATH  Google Scholar 

  3. Raupp, M. A.,Numerical Simulation of the Motion of a Pile Thrust into the Soil, Relatório A0015/78, Lab. Cálculo, CBPF (1978). To appear in Rev. Bras. Fis., vol. 9, no. 2 (1979).

  4. Raupp, M. A.,An Optimization Algorithm for the Pile Driver Problem, Relatório A0039/77, Lab. Cálculo, CBPF, 1977. To appear in Bol. Soc. Bras. Mat., vol. 10, no. 1 (1979).

  5. Strauss, W. A.,The Energy Method in Partial Differential Equations, Notas de Matemática no. 41, IMPA, Rio de Janeiro, (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Kritz, M.V. The pile driver problem via a fixed point argument. Bol. Soc. Bras. Mat 10, 57–69 (1979). https://doi.org/10.1007/BF02584630

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02584630

Keywords

Navigation