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.
Similar content being viewed by others
References
Ekeland, I., Teman, R.,Analyse Convexe et Problèmes Variationnels, Études Mathématiques, Dunod, Paris, (1974).
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).
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).
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).
Strauss, W. A.,The Energy Method in Partial Differential Equations, Notas de Matemática no. 41, IMPA, Rio de Janeiro, (1969).
Author information
Authors and Affiliations
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02584630