scholarly journals Half-plane partial slip contact problems with a constant normal load subject to a shear force and differential bulk tension

2018 ◽  
Vol 118 ◽  
pp. 245-253 ◽  
Author(s):  
M.R. Moore ◽  
R. Ramesh ◽  
D.A. Hills ◽  
J.R. Barber
Keyword(s):  
Half Plane ◽  
Shear Force ◽  
Normal Load ◽  
Contact Problems ◽  
Partial Slip ◽  
Constant Normal Load

Partial slip contact analysis for a monoclinic half plane

2020 ◽  
pp. 108128652096283
Author(s):  
İ Çömez ◽  
Y Alinia ◽  
MA Güler ◽  
S El-Borgi
Keyword(s):  
Integral Equations ◽  
Half Plane ◽  
Singular Integral ◽  
Integral Transform ◽  
Mixed Boundary ◽  
Normal Load ◽  
Fibrous Composite ◽  
Singular Integral Equations ◽  
Contact Stresses ◽  
Partial Slip

In this paper, the nonlinear partial slip contact problem between a monoclinic half plane and a rigid punch of an arbitrary profile subjected to a normal load is considered. Applying Fourier integral transform and the appropriate boundary conditions, the mixed-boundary value problem is reduced to a set of two coupled singular integral equations, with the unknowns being the contact stresses under the punch in addition to the stick zone size. The Gauss–Chebyshev discretization method is used to convert the singular integral equations into a set of nonlinear algebraic equations, which are solved with a suitable iterative algorithm to yield the lengths of the stick zone in addition to the contact pressures. Following a validation section, an extensive parametric study is performed to illustrate the effects of material anisotropy on the contact stresses and length of the stick zone for typical monoclinic fibrous composite materials.

Frictional shakedown in a complete contact

2003 ◽  
Vol 38 (4) ◽  
pp. 329-338 ◽  
Author(s):  
R Saez ◽  
A Mugadu ◽  
J Fuenmayor ◽  
D. A Hills
Keyword(s):  
Normal Load ◽  
Partial Slip ◽  
Shearing Force ◽  
Slip Regime ◽  
Contact Configuration ◽  
Bound Theorem ◽  
Oscillatory Shearing ◽  
Constant Normal Load ◽  
Complete Contact ◽  
Plastic Shakedown

The phenomenon of frictional shakedown is investigated by considering a complete contact configuration for which a stable partial slip regime exists; a tilted square-ended rigid punch is pressed against an incompressible half-plane by an offset constant normal load and subject to an oscillatory shearing force. The analysis shows that analogies might be drawn with conventional plasticity nomenclature and that, under certain conditions, Melan's lower bound theorem of plastic shakedown may be invoked, leading to the elimination of steady state slip. The implications of these results to fretting contacts are discussed.

scholarly journals Methods to solve half-plane partial slip contact problems

2018 ◽  
Vol 155 ◽  
pp. 155-159 ◽  
Author(s):  
D.A. Hills ◽  
R. Ramesh ◽  
J.R. Barber ◽  
M.R. Moore
Keyword(s):  
Half Plane ◽  
Contact Problems ◽  
Partial Slip

scholarly journals Half-plane contacts subject to remote tension

2021 ◽  
pp. 030932472098844
Author(s):  
Nils Cwiekala ◽  
David A Hills
Keyword(s):  
Contact Problem ◽  
Half Plane ◽  
Asymptotic Form ◽  
Fretting Fatigue ◽  
The State ◽  
Partial Slip ◽  
Practical Relevance ◽  
Plane Contact ◽  
State Of Stress ◽  
Plane Contact Problem

The state of stress present in an elastic half-plane contact problem, where one or both bodies is subject to remote tension has been investigated, both for conditions of full stick and partial slip. The state of stress present near the contact edges is studied for different loading scenarios in an asymptotic form. This is of practical relevance to the study of contacts experiencing fretting fatigue, and enables the environment in which cracks nucleate to be specified.

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