# 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

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topSelmani, 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 -

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