A frictional contact problem with wear and damage for electro-viscoelastic materials

Mohamed Selmani; Lynda Selmani

Applications of Mathematics (2010)

  • Volume: 55, Issue: 2, page 89-109
  • ISSN: 0862-7940

Abstract

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We consider a quasistatic contact problem for an electro-viscoelastic body. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. The damage of the material caused by elastic deformation is taken into account, its evolution is described by an inclusion of parabolic type. We present a weak formulation for the model and establish existence and uniqueness results. The proofs are based on classical results for elliptic variational inequalities, parabolic inequalities and fixed point arguments.

How to cite

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Selmani, Mohamed, and Selmani, Lynda. "A frictional contact problem with wear and damage for electro-viscoelastic materials." Applications of Mathematics 55.2 (2010): 89-109. <http://eudml.org/doc/37840>.

@article{Selmani2010,
abstract = {We consider a quasistatic contact problem for an electro-viscoelastic body. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. The damage of the material caused by elastic deformation is taken into account, its evolution is described by an inclusion of parabolic type. We present a weak formulation for the model and establish existence and uniqueness results. The proofs are based on classical results for elliptic variational inequalities, parabolic inequalities and fixed point arguments.},
author = {Selmani, Mohamed, Selmani, Lynda},
journal = {Applications of Mathematics},
keywords = {quasistatic process; electro-viscoelastic materials; bilateral contact; friction; damage; existence and uniqueness; monotone operator; fixed point; weak solution; quasistatic process; electro-viscoelastic material; bilateral contact; friction; damage; existence; uniqueness; monotone operator; fixed point; weak solution},
language = {eng},
number = {2},
pages = {89-109},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A frictional contact problem with wear and damage for electro-viscoelastic materials},
url = {http://eudml.org/doc/37840},
volume = {55},
year = {2010},
}

TY - JOUR
AU - Selmani, Mohamed
AU - Selmani, Lynda
TI - A frictional contact problem with wear and damage for electro-viscoelastic materials
JO - Applications of Mathematics
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 2
SP - 89
EP - 109
AB - We consider a quasistatic contact problem for an electro-viscoelastic body. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. The damage of the material caused by elastic deformation is taken into account, its evolution is described by an inclusion of parabolic type. We present a weak formulation for the model and establish existence and uniqueness results. The proofs are based on classical results for elliptic variational inequalities, parabolic inequalities and fixed point arguments.
LA - eng
KW - quasistatic process; electro-viscoelastic materials; bilateral contact; friction; damage; existence and uniqueness; monotone operator; fixed point; weak solution; quasistatic process; electro-viscoelastic material; bilateral contact; friction; damage; existence; uniqueness; monotone operator; fixed point; weak solution
UR - http://eudml.org/doc/37840
ER -

References

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