Viscoelastic Contact of a Half-Plane Sliding Over a Slightly Wavy Rigid Surface

2014 ◽  
Author(s):  
N. Menga ◽  
C. Putignano ◽  
T. Contursi ◽  
G. Carbone
Keyword(s):  
Contact Problem ◽  
Contact Area ◽  
Analytical Procedure ◽  
Sliding Contact ◽  
Rigid Surface ◽  
Viscoelastic System ◽  
Contact Conditions ◽  
Partial Contact ◽  
Full Contact ◽  
Viscoelastic Contact

In this paper, the sliding contact of a rigid sinusoid over a viscoelastic halfplane is studied by means of an analytical procedure that reduced the original viscoelastic system to an elastic equivalent one, which has been already solved in [1]. In such a way, the solution of the original viscoelastic contact problem requires just to numerically solve a set of two integral equations. Results show the viscoelasticity influence on the solution by means of a detailed analysis of contact area, pressure and displacement distribution. A particular attention is paid to the transition from full contact to partial contact conditions.

scholarly journals The sliding contact of a rigid wavy surface with a viscoelastic half-space

2014 ◽  
Vol 470 (2169) ◽  
pp. 20140392 ◽  
Author(s):  
N. Menga ◽  
C. Putignano ◽  
G. Carbone ◽  
G. P. Demelio
Keyword(s):  
Half Space ◽  
Applied Load ◽  
Sliding Velocity ◽  
Contact Conditions ◽  
Frictional Properties ◽  
Single Asperity ◽  
Partial Contact ◽  
Pressure Distributions ◽  
Full Contact ◽  
Asperity Contacts

In this paper, the contact of a rigid sinusoid sliding on a viscoelastic half-space is studied. The solution of the problem is obtained by following the path drawn by Hunter for cylindrical contacts. Results show that depending on the remote applied load, a transition from full contact conditions to partial contact may occur depending on the sliding velocity. This effect, which is not observed in smooth single asperity contacts, is related to the viscoelastic stiffening of the material and to the periodicity of the contacts. Frictional properties as well as contact area, displacement and pressure distributions are discussed in detail.

VISCOELASTIC ADHESION OF A SPHERICAL TIP INDENTING A FLAT RIGID SURFACE USING LENNARD-JONES INTERACTION

2015 ◽  
Vol 76 (10) ◽  
Author(s):  
A.K.X. Leong ◽  
W.W.F. Chong
Keyword(s):  
Mathematical Model ◽  
Contact Problem ◽  
Physical Properties ◽  
Contact Problems ◽  
Surface Forces ◽  
Elastic Contact ◽  
Rigid Surface ◽  
Lennard Jones ◽  
Viscoelastic Contact

Solid and elastic contact problems have been thoroughly investigated before. The most recent efforts incorporate the use of the Lennard-Jones (LJ) potential to describe the inter-surface forces that are present and substantial in micro-sized contact problems. But little work has been done on viscoelastic contact problems. Hence, there is a need to investigate the behaviour of a viscoelastic contact under the LJ interaction. This paper aims to investigate the deformation of an axisymmetric viscoelastic tip that is either pushed onto or pulled from a flat rigid surface. From existing elastic models, a mathematical model was developed to describe the contact problem in a viscoelastic context. This newly developed was solved via numerical means. The result is a model that readily accepts measureable physical properties and gives out the deformation of a viscoelastic tip.

scholarly journals Adhesive contact of the Weierstrass profile

2015 ◽  
Vol 471 (2182) ◽  
pp. 20150248 ◽  
Author(s):  
L. Afferrante ◽  
M. Ciavarella ◽  
G. Demelio
Keyword(s):  
Fractal Dimension ◽  
Contact Problem ◽  
Contact Area ◽  
Finite Size ◽  
Adhesive Contact ◽  
Link Type ◽  
Full Contact ◽  
Contact Behaviour ◽  
Mean Pressure ◽  
Large Magnification

The Weierstrass series was considered in Ciavarella et al. (Ciavarella et al. 2000 Proc. R. Soc. Lond. A 456 , 387–405. ( doi:10.1098/rspa.2000.0522 )) to describe a linear contact problem between a rigid fractally rough surface and an elastic half-plane. In such cases, no applied mean pressure is sufficiently large to ensure full contact, and specifically there are not even any contact areas of finite dimension. Later, Gao & Bower (Gao & Bower 2006 Proc. R. Soc. A 462 , 319–348. ( doi:10.1098/rspa.2005.1563 )) introduced plasticity in the Weierstrass model, but concluded that the fractal limit continued to lead to what they considered unphysical predictions of the true contact size and number of contact spots, similar to the elastic case. In this paper, we deal with the contact problem between rough surfaces in the presence of adhesion with the assumption of a Johnson, Kendall and Roberts (JKR) regime. We find that, for fractal dimension D >1.5, the presence of adhesion does not qualitatively modify the contact behaviour. However, for fractal dimension D <1.5, a regularization of the contact area can be observed at a large magnification where the contact area consists of segments of finite size. Moreover, full contact can occur at all scales for D <1.5 provided the mean contact pressure is larger than a certain value. We discuss, however, the implication of our assumption of a JKR regime.

Penalty Method Involving Electric Sliding Contact Problem

2014 ◽  
Vol 701-702 ◽  
pp. 246-249
Author(s):  
Sai Tan ◽  
Jun Yong Lu ◽  
Xin Lin Long ◽  
Xiao Zhang
Keyword(s):  
Finite Element ◽  
Contact Problem ◽  
Physical Quantity ◽  
Penalty Method ◽  
Sliding Contact ◽  
Interface Condition ◽  
Calculation Results ◽  
Coupled Equation ◽  
Finite Element Formulations ◽  
Methods Numerical

Basing on governing Maxwell and energy equation of rail gun considering armature movement in two dimension, The total domain to be solved is divided into two subdomains: moving (armature) part and static (rail) part, finite element formulations of two subdomains are built independently, then using the interface condition of two subdomains, formulations are connected by coupled equation which is derived out by penalty method. Shifted physical quantity is used to simulate movement. The final magnetic-thermal coupled fields finite element formulations of rail gun are established by these methods. Numerical calculation results compared by theoretical and other numerical results verify that penalty method is an effective way to deal with electric sliding contact problem associating with Shifted physical quantity method.

The Contact Problem at Delamination

1995 ◽  
Vol 62 (4) ◽  
pp. 989-996 ◽  
Author(s):  
A. E. Giannakopoulos ◽  
K.-F. Nilsson ◽  
G. Tsamasphyros
Keyword(s):  
Contact Problem ◽  
Plate Theory ◽  
Compressive Loading ◽  
Material Anisotropy ◽  
Intensity Factors ◽  
Finite Element Scheme ◽  
Contact Conditions ◽  
Delamination Buckling ◽  
Post Buckling ◽  
Delamination Front

The important phenomenon of delamination buckling is examined subjected to the condition of frictionless contact. Buckled delamination is examined in particular, because in-plane compressive loading is typical and detrimental. Two types of contact can be distinguished, local and global. The latter may occur everywhere in the plate while the local contact is limited to the crack front (negative KI stress intensity factors). Both local and global contact conditions were considered using a finite element scheme which employed nonlinear plate theory. The global contact problem is formulated as it appears in post-buckling of delamination. The case of simultaneous buckling and contact is also addressed in this paper. Two particularly interesting examples of thin film delaminations are presented. In the first, the contact at buckling is due to the material anisotropy. In this case the bucking load and the post-bucking analysis were very well supported by experiments. In the second example, contact at buckling arises because of a pin that holds down the delaminated layer at its center. The treated cases indicated that contact may significantly affect the fracture parameters along the delamination front, and is, therefore, important for delamination arrest.

Influence of the in-plan distribution of asperities on the normal contact of periodically rough surfaces

2016 ◽  
Vol 230 (9) ◽  
pp. 1382-1391
Author(s):  
K Houanoh ◽  
H-P Yin ◽  
J Cesbron ◽  
Q-C He
Keyword(s):  
Numerical Simulations ◽  
Half Space ◽  
Contact Area ◽  
Rough Surfaces ◽  
Elastic Half Space ◽  
Real Contact Area ◽  
Normal Contact ◽  
Real Contact ◽  
Full Contact ◽  
Rigid Surfaces

The present work aims to analyze the influence of the in-plan distribution of asperities on the contact between periodically rough surfaces. Square pattern and hexagonal pattern rigid surfaces are considered. Their contact with an elastic half-space is analyzed by numerical simulations. Three surfaces are generated with identical asperities periodically distributed in a plan according to different patterns. It follows from numerical results that when the load and the real contact area are small, the asperities act almost independently. However, the interaction between close asperities increases with the load becomes intensified and has a significant effect on the contact area when the situation is close to full contact.

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