Axisymmetric contact problem of the theory of elasticity in the presence of wear

Galin, L. A.; Goriacheva, I.G.

doi:10.1016/0021-8928(77)90164-2

Cited by 25 publications

(14 citation statements)

References 1 publication

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“…After the fundamental works by Galin (1976aGalin ( , 1977Galin ( , 1980, wear contact problems were intensively investigated in Russia. The methods of solution of the 2-D and 3-D wear contact problems for the contacting bodies of different shape (halfspace, strip, beam, parabolic indenter, cylinder, etc.…”

Section: Wear Contact Problemsmentioning

confidence: 99%

Contact Mechanics in Tribology

Goriacheva

1998

Solid Mechanics and Its Applications

243

174

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The fundamental questions arising in mechanics are: Why?, How?, and How much? The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids.The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics; variational formulations; computational mechanics; statics, kinematics and dynamics of rigid and elastic bodies; vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, plasticity and viscoelasticity; composite materials; rods, beams, shells and membranes; structural control and stability; soils, rocks and geomechanics;

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Section: Wear Contact Problemsmentioning

confidence: 99%

Contact Mechanics in Tribology

Goriacheva

1998

Solid Mechanics and Its Applications

243

174

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“…Analytical approach for wear contact problems with fixed contact area was developed by Galin [11], and lately extended in a number of publications [12,13]. Applying an optimal control approach [14] recently developed to study the asymptotic behavior of elasto-viscoplastic structures, Peigney [15] has solved the problem of determining the asymptotic state reached by an elastic half-plane subjected to wear and submitted to a normal and tangential loading by a cyclically moving rigid indenter with the prescribed vertical displacement.…”

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confidence: 99%

A Macro-scale Approximation for the Running-in Period

Argatov

Fadin

2011

Tribol Lett

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The article presents asymptotic modeling of the running-in wear process with fixed contact zone under a prescribed constant normal load or an imposed contact displacement. The wear contact problem is formulated within the framework of the two-dimensional theory of elasticity in conjunction with Archard's law of wear. The running-in process is considered at the macro-scale level, while the micro-processes associated with roughness changes, tribomaterial evolution, and microstructural alteration in the subsurface layers as a first approximation are neglected. The setting of the steady-state regime for the macro-contact pressure evolution is chosen as the criterion to characterize the completion of running-in. Simple closed-form approximations are derived for the running-in period and running-in sliding distance. The obtained results can be used for estimating the running-in period in wear processes where the evolution of the macro-shape deviations at the contact interface plays a dominant role.

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“…In this chapter, we consider rotationally symmetric profiles that wear while retaining rotational symmetry. Trivially, wear is axially-symmetric for an axially symmetric load (such as a torsional load around the center line of the profile, which was studied by Galin and Goryacheva (1977)). However, the retention of axial symmetry of the profile does not necessarily require axial symmetry of the load condition.…”

Section: Wearmentioning

confidence: 99%