On the modelling of complex anisotropic frictional contact laws

Hjiaj, Mohammed; Feng, Zhigang; Saxcé, Géry de; Mróz, Z.

doi:10.1016/j.ijengsci.2003.10.004

Cited by 23 publications

(12 citation statements)

References 4 publications

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“…Non-homogeneity means that there are distinguished points at the contact surface, and the frictional resistance depends on a sliding path in the contact surface. The physical nature of materials and specific technologies of manufacture and machining are responsible for the observed non-isotropy and non-homogeneity of friction, see recent publications of Argatov and Dmitriev [42], Hjiaj et al [43], Feng et al [44,45], Jones and Papadopoulos [46], Konyukhov and Schweizerhof [47], Antoni et al [48], Dunn et al [49], Konyukhov et al [50], Pabst et al [51].…”

Section: The Continuum Thermodynamics Approachmentioning

confidence: 99%

“…The smoothed friction characteristic is more or less the viscous friction model. To remove the difficulty of Coulomb friction description, an elasto-plastic analogy of friction has been utilized in the literature, see Wriggers [7], Hjiaj et al [43] and Feng et al [44,45]. The tangential slip is divided into an elastic (stick) and a plastic (slip) part.…”

Section: The Multi-valued Friction Characteristic At Zero Sliding Velmentioning

confidence: 99%

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Contact stresses: a short survey of models and methods of computations

Zmitrowicz

2009

Arch Appl Mech

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Contact stresses are identified as normal and tangential forces between contacting solids. The normal stresses are modeled using unilateral and complementary conditions, elastic response and normal compliance. Friction laws describe the tangential traction. Friction of materials depends on pressure, sliding velocity, surface temperature, time of contact, surface roughness and presence of wear debris. Phenomenological, micromechanical and atomic-scale models as well as non-classical models of anisotropic and heterogeneous friction are important steps in the development of friction modeling. Sophisticated friction models are desirable in vibrating systems, materials processing, rolling contacts, rubber and polymers, geomechanics, bioengineering and living systems. Main numerical methods in contact mechanics are: finite element method, boundary element method and discrete element method. To include specific contact constraints, the following computing techniques are applied: Lagrange multipliers, penalty function, perturbated and augmented Lagrangian methods, mathematical programming methods. The advances of adhesion and impact modeling are outlined in this paper.

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Section: The Continuum Thermodynamics Approachmentioning

confidence: 99%

Section: The Multi-valued Friction Characteristic At Zero Sliding Velmentioning

confidence: 99%

Contact stresses: a short survey of models and methods of computations

Zmitrowicz

2009

Arch Appl Mech

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“…The abrasive friction and wear is analysed in Reference [28]. The formulation of complex anisotropic frictional models with orthotropic friction condition and non-associated sliding rule is discussed in Reference [29].…”

Section: Formulation Of the Wear Rulementioning

confidence: 99%

On optimal contact shapes generated by wear

Páczelt

Mróz

2005

Numerical Meth Engineering

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SUMMARYThe optimal shape design of contacting surfaces has usually been aimed at controlling the contact pressure distribution. However, a much wider class of contact optimization problems can be formulated by maximizing contact force or displacement, torsional moment, or minimizing the friction dissipation. The special classes of optimization problems are considered, namely, minimization of generalized wear volume rate, minimization of generalized friction dissipation power and minimization of the generalized wear dissipation power depending on both normal pressure and slip velocity.The specific wear rule was assumed and the optimality conditions are derived. They generate optimal contact pressure distribution and the corresponding optimal wear rate. The optimization problems are reduced to non-linear programming problems and for their solution a special iteration process is used. The wear process is analysed in two specific cases. First, when the relative sliding velocity between bodies is constant and the second case, when one of bodies rotates with respect to another body. For rotational motion the problem of minimization of friction dissipation power is considered by applying the technique of control of contact pressure distribution and minimization of the generalized friction dissipation power with a new control parameter q. It is demonstrated that the wear dissipation power at the contact surface is minimal in the steady state of wear process and in many cases corresponds to the uniform wear rate. The illustrative examples for rotating bodies demonstrate the evolution of wear process toward a steady state. The minimization of the generalized wear volume rate and of generalized friction dissipation power does not induce the steady state of wear process in the rotation motion.The identification procedure is proposed to specify the wear parameters.

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“…Attention should be paid to the work of Hjiaj et.al. [4] where isotropic Coulomb's frictional contact law to anisotropic friction conditions with non-associated sliding rule was generalized. Based on a model of rigid anisotropic asperities, a theoretical investigation on friction limit surfaces and sliding rules has been carried out by Mróz and Stupkiewicz [5].…”

Section: Introductionmentioning

confidence: 99%

“…Most of friction models are completely defined by the friction conditions which specify a set of admissible contact forces and the sliding rule which stipulates what directions of sliding are allowed [4]. The limit surface is usually assumed to be isotropic predicting a frictional behaviour independent of the sliding direction.…”

Section: Introductionmentioning

confidence: 99%

A 3D numerical modeling of hemispherical contact against an elastic-plastic flat surface

Trzepieciński¹,

Stachowicz²,

Босяков³

et al. 2014

ZN PRz Mechanika

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This paper presents a method of determining the anisotropic friction model for sheet metal forming processes based on experimental data obtained from the pinon-disk tribometer test. The frictional investigations presented in this work were conducted for deep drawing quality cold-rolled steel sheet. The anisotropic friction model corresponded to experimental results was implemented into a finite element (FE) model built using the ABAQUS software. In the numerical investigations the hemispherical contact against an elastic-plastic flat was analysed. Both material and friction anisotropy influenced the non-uniformity of the stress distribution around the hemisphere axis, which is clearly visible for higher values of hemispherical solid indentations. It was found that the change of isotropic friction to anisotropic conditions for both material models slightly influences -the value and change of equivalent plastic strain distribution in contact zone.

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On the modelling of complex anisotropic frictional contact laws

Cited by 23 publications

References 4 publications

Contact stresses: a short survey of models and methods of computations

Contact stresses: a short survey of models and methods of computations

On optimal contact shapes generated by wear

A 3D numerical modeling of hemispherical contact against an elastic-plastic flat surface

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