# Dynamic contact problems with velocity conditions

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 1, page 17-26
- ISSN: 1641-876X

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topChau, Oanh, and Motreanu, Viorica. "Dynamic contact problems with velocity conditions." International Journal of Applied Mathematics and Computer Science 12.1 (2002): 17-26. <http://eudml.org/doc/207565>.

@article{Chau2002,

abstract = {We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems converge to the solution of the corresponding elastic problem as the viscosity tensor tends to zero and when the frictional potential function converges to the corresponding function in the elastic problem.},

author = {Chau, Oanh, Motreanu, Viorica},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {maximal monotone operator; nonlinear hyperbolic variational inequality; weak solution; dynamic process; subdifferential boundary condition; elastic; viscoelastic},

language = {eng},

number = {1},

pages = {17-26},

title = {Dynamic contact problems with velocity conditions},

url = {http://eudml.org/doc/207565},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Chau, Oanh

AU - Motreanu, Viorica

TI - Dynamic contact problems with velocity conditions

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 1

SP - 17

EP - 26

AB - We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems converge to the solution of the corresponding elastic problem as the viscosity tensor tends to zero and when the frictional potential function converges to the corresponding function in the elastic problem.

LA - eng

KW - maximal monotone operator; nonlinear hyperbolic variational inequality; weak solution; dynamic process; subdifferential boundary condition; elastic; viscoelastic

UR - http://eudml.org/doc/207565

ER -

## References

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