Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction

M. Bostan; P. Hild

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 1, page 147-162
  • ISSN: 0973-5348

Abstract

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This work is concerned with the equilibrium configurations of elastic structures in contact with Coulomb friction. We obtain a variational formulation of this equilibrium problem. Then we propose sufficient conditions for the existence of an infinity of equilibrium configurations with arbitrary small friction coefficients. We illustrate the result in two space dimensions with a simple example.

How to cite

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Bostan, M., and Hild, P.. "Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction." Mathematical Modelling of Natural Phenomena 4.1 (2009): 147-162. <http://eudml.org/doc/222265>.

@article{Bostan2009,
abstract = { This work is concerned with the equilibrium configurations of elastic structures in contact with Coulomb friction. We obtain a variational formulation of this equilibrium problem. Then we propose sufficient conditions for the existence of an infinity of equilibrium configurations with arbitrary small friction coefficients. We illustrate the result in two space dimensions with a simple example.},
author = {Bostan, M., Hild, P.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {Coulomb friction; linear elasticity; equilibrium configurations; weak formulations; continuum of solutions; weak formulations},
language = {eng},
month = {1},
number = {1},
pages = {147-162},
publisher = {EDP Sciences},
title = {Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction},
url = {http://eudml.org/doc/222265},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Bostan, M.
AU - Hild, P.
TI - Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/1//
PB - EDP Sciences
VL - 4
IS - 1
SP - 147
EP - 162
AB - This work is concerned with the equilibrium configurations of elastic structures in contact with Coulomb friction. We obtain a variational formulation of this equilibrium problem. Then we propose sufficient conditions for the existence of an infinity of equilibrium configurations with arbitrary small friction coefficients. We illustrate the result in two space dimensions with a simple example.
LA - eng
KW - Coulomb friction; linear elasticity; equilibrium configurations; weak formulations; continuum of solutions; weak formulations
UR - http://eudml.org/doc/222265
ER -

References

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