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

Selmani, Mohamed; Selmani, Lynda

doi:10.1007/s10492-010-0004-x

Cited by 5 publications

(3 citation statements)

References 10 publications

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“…Contact-related problems, whether involving friction or not, between deformable bodies or between a rigid body and a deformable one, are frequently encountered in both industrial settings and everyday experiences. Considering the importance and the multitude of these phenomena, vast studies have been undertaken, also the literature concerning contact mechanics is vast and addresses as many different subjects as are modeling, mathematical analysis or approximation numerical contact problems, see the works [1,2,10,11].…”

Section: Introductionmentioning

confidence: 99%

A quasistatic elastic-viscoplastic contact problem with wear and frictionless

Ahmed Hamidat,

Adel Aissaoui

2024

Malaya J. Mat.

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We consider here a frictionless contact problem for elastic-viscoplastic materials, in a quasi-static process. The contact with a rigid base is modeled without friction with condition of wear and damage. The damage the elastic deformations of the material is modeled by an internal variable of the body called the damage field. The problem formula is given as a system that includes a variational equation with respect to the displacement field, and a variational inequality of the parabolic type with respect to the damage field. We prove a weak solution existence and uniqueness theorem relating to the problem. The methods utilised are grounded in the concept of monotonic operators, followed by fixed-point arguments.

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Section: Introductionmentioning

confidence: 99%

A quasistatic elastic-viscoplastic contact problem with wear and frictionless

Ahmed Hamidat,

Adel Aissaoui

2024

Malaya J. Mat.

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show abstract

Section: Introductionmentioning

confidence: 99%

A quasistatic elastic-viscoplastic contact problem with wear and frictionless

Hamidat,

Adel Aissaoui

2023

Malaya J. Mat.

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We consider here a frictionless contact problem for elastic-viscoplastic materials, in a quasi-static process. The contact with a rigid base is modeled without friction with condition of wear and damage. The damage the elastic deformations of the material is modeled by an internal variable of the body called the damage field. The problem formula is given as a system that includes a variational equation with respect to the displacement field, and a variational inequality of the parabolic type with respect to the damage field. We prove a weak solution existence and uniqueness theorem relating to the problem. The techniques employed are based on the theory of monotonic operators, followed by fixed point arguments.

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“…When β = 1 there is no damage in the material, when β = 0 the material is completely damaged, when 0 < β < 1 there is partial damage and the system has a reduced load carrying capacity. Contact problems with damage have been investigated in [14,17,18,23].…”

Section: Introductionmentioning

confidence: 99%

Variational Analysis of a Frictional Contact Problem With Wear and Damage

Aoun

Selmani

Ahmed³

2021

Mathematical Modelling and Analysis

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We study a quasistatic problem describing the contact with friction and wear between a piezoelectric body and a moving foundation. The material is modeled by an electro-viscoelastic constitutive law with long memory and damage. The wear of the contact surface due to friction is taken into account and is described by the differential Archard condition. The contact is modeled with the normal compliance condition and the associated law of dry friction. We present a variational formulation of the problem and establish, under a smallness assumption on the data, the existence and uniqueness of the weak solution. The proof is based on arguments of parabolic evolutionary inequations, elliptic variational inequalities and Banach fixed point.

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

Cited by 5 publications

References 10 publications

A quasistatic elastic-viscoplastic contact problem with wear and frictionless

A quasistatic elastic-viscoplastic contact problem with wear and frictionless

A quasistatic elastic-viscoplastic contact problem with wear and frictionless

Variational Analysis of a Frictional Contact Problem With Wear and Damage

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