The sliding interface crack with friction between elastic and rigid bodies

Bui, Huy Duong; Oueslati, Abdelbacet

doi:10.1016/j.jmps.2004.12.007

Cited by 14 publications

(15 citation statements)

References 15 publications

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“…Following Bui and Oueslati [14] and Bui [13], the construction method of the solution is based on the displacement continuation. From the condition u y = 0 along the contact interface (real axis where z 1 = z 2 = z = x ?…”

Section: Basic Equationsmentioning

confidence: 99%

“…square integrable) which avoids the problem of unbounded energy sources or sinks [23] at switching boundaries between stick and slip segments. Let us remark that the nature of the mathematical singularity was explored in Deng [20] and Bui and Oueslati [14] where it was shown that the singularity ðÀ 1 2 þ aÞ is associated to ''push-in'' test of rigid fibre in its elastic matrix material and the singularity ð 1 2 À aÞ corresponds to ''pull-out'' kinematics. Moreover, since U must behave as O(1/z 2 ) at infinity then terms of order O(1/z) must be canceled.…”

Section: Stick-slip Solutionmentioning

confidence: 99%

“…This law is strongly nonlinear and nonsmooth because of its multivalued character and the presence of inequalities. Although Coulomb friction law is widely used in mechanics and engineering design many questions remains open such as the existence and uniqueness results of the solution [10,14,24,29], theoretical convergence results and accuracy of numerical algorithms, shakedown of friction [6].…”

Section: Introductionmentioning

confidence: 99%

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On the stick-slip waves under unilateral contact and Coulomb friction

Bui

Oueslati

2010

Ann. Solid Struct. Mech.

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International audienceIn this paper, the construction of analytic solution of stick-slip waves propagating along the interface between an elastic half-space and a moving rigid one is investigated. The contact between the solids is governed by unilateral constraints and Coulomb friction law and the deformable body is loaded by remote uniform stresses t*yy<0, t*xy>0. The method of solution is based on the continuation of Radok's complex potentials within the framework of steady state elastodynamical problems. The governing equation combined with the boundary conditions are reduced to a Riemann-Hilbert problem with discontinuous coefficient. This approach for the stick-slip study is novel and differs from those in the literature, namely the series method and the Weertmann's dislocation formulation. We present the closed form solution of the Riemann-Hilbert problem and show that the principal unknowns are of number two: the wave celerity and the ratio of the slip length by the stick one. The considered loading introduces an additional velocity V* related to the elongation e*xx due to the normal stress t*yy. We show that if V* vanishes there is no solution. When V* is taken into account, it is possible to construct weakly singular solutions satisfying all stick-slip conditions except over a narrow zone at transition points: The shear stress is singular over a small zone and the normal stress exhibits a positive singularity over a very small zone in the slip region which implies a separation near the singular transition

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Section: Basic Equationsmentioning

confidence: 99%

Section: Stick-slip Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the stick-slip waves under unilateral contact and Coulomb friction

Bui

Oueslati

2010

Ann. Solid Struct. Mech.

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“…On the other hand, there have been developed quasi-static models (Bui & Oueslati, 2005;Lawn & Marshall, 1998) for cracks with friction. The energy dissipated at the contact interface through frictional micro-slip was studied in a number of papers (Argatov & Butcher, 2011;Davies, Barber, & Hills, 2012;Paggi, Pohrt, & Popov, 2014;Putignano, Ciavarella, & Barber, 2011;Segalman, 2005) as well.…”

Section: Introductionmentioning

confidence: 99%

A model of a breathing crack with relaxation damping

Argatov¹,

Popov²,

Rademacher³

et al. 2015

International Journal of Engineering Science

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“…The classical framework of Coulomb friction model can be found in [23], [25] and other works. For modelling of frictional cracks we refer to [2], [4], [5], [6], [7], [30]. The seminal work [28] provided a method that made it possible to start the studies of such problems just 30 years ago.…”

Section: Introductionmentioning

confidence: 99%