On Solving Frictional Contact Problems Part Iii: Unilateral Contact
نویسنده
چکیده
In this paper, we study mixed variational nite element methods for the unilateral problems arising in contact mechanics.The presented discrete spaces can handle the case of non matching meshes in the contact area. We rst state the static problem and then extend it to the frictional contact case, and end with the dynamic frictional problem.
منابع مشابه
Spatial Compliant Motion of a Rigid Body Constrained by a Frictional Contact
In this paper, we study the quasi-static motion of an elastically suspended, unilaterally constrained rigid body. The motion of the rigid body is determined, in part, by the position controlled motion of its support base and by the behavior of the elastic suspension that couples the part to the support. The motion is also determined, in part, by contact with a frictional surface that both coupl...
متن کاملOn the Two-step Iterative Method of Solving Frictional Contact Problems in Elasticity
Unilateral contact problems in elasticity (Duvaut and Lions, 1976) have been extensively studied in the last two decades (Andersson and Klarbring, 2001; Angelov and Liolios, 2004; Cǎpǎtinǎ and Cocu, 1991; Cocu, 1984; Demkowicz and Oden, 1982; Duvaut and Lions, 1976; Hlavaček et al., 1988; Kikuchi and Oden, 1988; Klarbring et al., 1989; Lee and Oden, 1993a,1993b; Ne čas et al., 1980; Oden and Ca...
متن کاملOn Solving Frictional Contact Problems Part I: Abstract Framework and the Static Case. submitted to IJNAM as Mixed FEM of Higher Order for Contact Problems with Friction
Keywords hp-FEM · contact problems This paper presents mixed variational formulation and its discretization with finite elements of higher-order for Signorini's problem with Tresca's friction. To guarantee the unique existence of the discrete saddle point of the mixed method, a discrete inf-sup condition is proven. Moreover, a solution scheme based on the dual formulation of the mixed method is...
متن کاملNumerical Solutions to Unilateral Frictional Contact Problems in Glass Façade Systems
Glass is a brittle material. Its use in constructing structural elements of civil engineering can still be considered as an innovative technique. In order to take a full advantage of its principal qualities (transparency, aestheticism, durability, etc.), architects are pushing the conception of glass structural elements towards the adoption of more and more slender elements, entailing necessari...
متن کاملSolving Frictional Contact Problems with Multigrid Efficiency
The construction of fast and reliable solvers for contact problems with friction is even nowadays a challenging task. It is well known that contact problems with Coulomb friction have the weak form of a quasi-variational inequality [KO88, HHNL88, NJH80]. For small coefficients of friction, a solution can be obtained by means of a fixed point iteration in the boundary stresses [NJH80]. This fixe...
متن کامل