On the approximations of the tangential slip in frictional contact analyses

Liu, W.N.; Meschke, G.; Mang, Herbert A.

doi:10.1016/s0045-7949(00)00065-1

Cited by 10 publications

(4 citation statements)

References 8 publications

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“…In the so-called regularized formulation of frictional contact (Liu et al, 2000), the total tangential slip g T is split into a recoverable portion g EL T and an irrecoverable portion g IL T ,…”

Section: Friction Lawmentioning

confidence: 99%

A 3D finite element formulation describing the frictional behavior of rubber on ice and concrete surfaces

Huemer

Liu

Eberhardsteiner

et al. 2001

Engineering Computations

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The frictional behavior of rubber materials on various contact surfaces is strongly affected by the contact pressure and the relative sliding velocity as well as the environmental temperature. Based on a great number of experiments of rubber blocks moving on concrete and ice surfaces, a friction law for 3D contact analyses is presented in this paper. It is characterized by the dependency on the contact pressure, sliding velocity and the environmental temperature. The identification and correction of the parameters of this friction law were done by means of a leastsquare method followed by re-analyses of the respective experiments. Several examples are given in a numerical investigation of the frictional behavior of rubber materials.

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Section: Friction Lawmentioning

confidence: 99%

A 3D finite element formulation describing the frictional behavior of rubber on ice and concrete surfaces

Huemer

Liu

Eberhardsteiner

et al. 2001

Engineering Computations

Self Cite

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“…Another existing approach is the viscous contact model whose mechanism is illustrated in Figure 1(c) [1,5,[12][13][14]. This contact model consists of a dashpot and the Coulomb element.…”

Section: Introductionmentioning

confidence: 99%

“…The constitutive model employed by Laursen and Oancea [15] was, however, based on viscoplasticity and the discussion was restricted to rate dependence in the slipping phase. Although rate dependence in the sticking phase can be considered in the constitutive model shown by Liu et al [14], which can be viewed as an extension of the Maxwell model with a non-linear dashpot [16], their discussion was restricted to two-dimensional problems. More importantly, if the formulations by Liu et al [14] or those by Laursen and Oancea [15] are directly applied, numerical di culties like divide zero by zero or ill-conditioning of the tangent sti ness matrix may be encountered in recovering the rate-independent elastoplastic contact model.…”

Section: Introductionmentioning

confidence: 99%

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Rate‐dependent projection operators for frictional contact constraints

Araki

Hjelmstad

2003

Numerical Meth Engineering

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SUMMARYWe develop rate-dependent regularization approaches for three-dimensional frictional contact constraints based on the Kelvin and Maxwell viscoelastic constitutive models. With the present regularization schemes, we aim to provide a basis to better model friction and to stabilize the contact analysis while keeping the contact model as simple as possible. The key feature of the regularization approaches, implemented using an implicit time integrator, is that one can recover in the limit the widely used rate-independent elastoplastic regularization framework without encountering numerical di culties. Intermediate contact tractions are deÿned in terms of the relative displacement, the relative velocity, and the regularization parameters. The projection operators operate on the intermediate tractions and yield contact tractions that satisfy all the discretized contact constraints. The use of projection operators allows a systematic implementation of the present regularization schemes. Through numerical simulations, we observed that the Maxwell-type regularization e ectively avoids convergence problems, even for relatively large time step sizes, while the Kelvin-type regularization does not.

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2024

Contact in Structural Mechanics

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On the approximations of the tangential slip in frictional contact analyses

Cited by 10 publications

References 8 publications

A 3D finite element formulation describing the frictional behavior of rubber on ice and concrete surfaces

A 3D finite element formulation describing the frictional behavior of rubber on ice and concrete surfaces

Rate‐dependent projection operators for frictional contact constraints

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