Derivation and analysis of a generalized standard model for contact, friction and wear

Strömberg, Niclas; Johansson, Lars; Klarbring, Anders

doi:10.1016/0020-7683(95)00140-9

Cited by 150 publications

(115 citation statements)

References 20 publications

Supporting

Mentioning

112

Contrasting

Unclassified

Order By: Relevance

“…Mathematical analysis of one-dimensional damage models can be found in [9]. We now briefly describe the boundary conditions on the contact surface Γ 3 , based on the model derived in [18], [19]. We introduce the wear function w : Γ 3 × [0, T ] → R + which measures the wear of the surface.…”

Section: Mechanical and Variational Formulationsmentioning

confidence: 99%

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

Selmani

2010

Appl Math

View full text Add to dashboard Cite

Section: Mechanical and Variational Formulationsmentioning

confidence: 99%

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

Selmani

2010

Appl Math

View full text Add to dashboard Cite

“…[6] or [13]). Recently a modified version of the Coulomb friction law was derived in [17,18] from thermodynamic considerations. It consists of using the friction law (4.6) with…”

Section: A Frictional Contact Problem With Normal Compliancementioning

confidence: 99%

Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials

Motreanu

Sofonea

1999

Abstract and Applied Analysis

View full text Add to dashboard Cite

We consider a class of evolutionary variational inequalities arising in quasistatic frictional contact problems for linear elastic materials. We indicate sufficient conditions in order to have the existence, the uniqueness and the Lipschitz continuous dependence of the solution with respect to the data, respectively. The existence of the solution is obtained using a time-discretization method, compactness and lower semicontinuity arguments. In the study of the discrete problems we use a recent result obtained by the authors (2000). Further, we apply the abstract results in the study of a number of mechanical problems modeling the frictional contact between a deformable body and a foundation. The material is assumed to have linear elastic behavior and the processes are quasistatic. The first problem concerns a model with normal compliance and a version of Coulomb's law of dry friction, for which we prove the existence of a weak solution. We then consider a problem of bilateral contact with Tresca's friction law and a problem involving a simplified version of Coulomb's friction law. For these two problems we prove the existence, the uniqueness and the Lipschitz continuous dependence of the weak solution with respect to the data.

show abstract

“…General mathematical models of contact dynamics for the elastic structures, described by such equations and systems, have been studied recently in many papers [2,13,22]. In paper [22] there was formulated a mathematical problem for dynamical viscoelastic friction with worn-out.…”

Section: Introductionmentioning

confidence: 99%

“…In paper [22] there was formulated a mathematical problem for dynamical viscoelastic friction with worn-out. Dynamical contact between the beam and movable surface was investigated in [2], thermoelastic contact was analyzed in [13].…”

Section: Introductionmentioning

confidence: 99%

On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model

Пукач

Ільків

Nytrebych

et al. 2017

OpMath

View full text Add to dashboard Cite

show abstract

Derivation and analysis of a generalized standard model for contact, friction and wear

Cited by 150 publications

References 20 publications

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

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

Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials

On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model

Contact Info

Product

Resources

About