Contact problems with friction: models and simulations
نویسندگان
چکیده
منابع مشابه
Discrete Contact Problems with Coulomb Friction
The paper deals with a discrete model of a two-dimensional Signorini problem with Coulomb friction and a coefficient of friction F depending on the spatial variable. It is shown that a solution exists for any F and is unique if F is sufficiently small. We also prove that this unique solution is a Lipschitz continuous function of F . Numerical realization is done by the piecewise smooth Newton m...
متن کاملShape Optimization in 3d Contact Problems with Coulomb Friction
Since 1980, a considerable attention of applied mathematicians has been devoted to unilateral contact problems with Coulomb friction, cf. [2] and the references therein. Concerning the static case, our comprehension has reached a fairly satisfactory level. In [1], the authors have developed a numerical approach to a class of optimization problems, where one computes optimal shape of a 2D elasti...
متن کاملOn Domain Decomposition Algorithms for Contact Problems with Tresca Friction
Development of numerical methods for the solution of contact problems is a challenging task whose difficulty lies in the non-linear conditions for non-penetration and friction. Recently, many authors proposed to use various numerical algorithms combined with multigrid or domain decomposition techniques; see, e.g., the primal-dual active set algorithm [8], the non-smooth multiscale method [10], ...
متن کاملShape Optimization in Three-Dimensional Contact Problems with Coulomb Friction
We study the discretized problem of the shape optimization of three-dimensional elastic bodies in unilateral contact. The aim is to extend existing results to the case of contact problems obeying the Coulomb friction law. Mathematical modelling of the Coulomb friction problem leads to an implicit variational inequality. It is shown that for small coefficients of friction the discretized problem...
متن کاملShakedown in elastic contact problems with Coulomb friction
Elastic systems with frictional interfaces subjected to periodic loading are sometimes predicted to ‘shake down’ in the sense that frictional slip ceases after the first few loading cycles. The similarities in behaviour between such systems and monolithic bodies with elastic–plastic constitutive behaviour have prompted various authors to speculate that Melan’s theorem might apply to them – i.e....
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ژورنال
عنوان ژورنال: Simulation Modelling Practice and Theory
سال: 2003
ISSN: 1569-190X
DOI: 10.1016/s1569-190x(03)00060-1