# Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction

Mathematical Modelling of Natural Phenomena (2009)

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

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topBostan, 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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