The effect of heat flow on the contact area between a continuous rigid punch and a frictionless elastic half-space

1976 ◽  
Vol 27 (4) ◽  
pp. 439-445 ◽  
Author(s):  
J. R. Barber
Keyword(s):  
Heat Flow ◽  
Half Space ◽  
Contact Area ◽  
Elastic Half Space ◽  
Rigid Punch

Contact Area Variation in Elastic Indentation Problems

2009 ◽  
Author(s):  
Roman Riznychuk
Keyword(s):  
Contact Problem ◽  
Pressure Distribution ◽  
Half Space ◽  
Analytical Solutions ◽  
Contact Area ◽  
Elastic Half Space ◽  
Exact Expression ◽  
Rigid Punch ◽  
Contact Pressure Distribution ◽  
Area Variation

Contact problem of the frictionless indentation of elastic half-space by smooth rigid punch of curved profile is investigated. An exact expression of the contact pressure distribution for a curved profile punch in terms of integral involving the pressure distribution for sequence of flat punches is derived. The method is illustrated and validated by comparison with some well-known analytical solutions.

Analytical solution of elastic deformations inside and outside circular contact area between tilted rigid punch and elastic half space

2019 ◽  
Vol 230 (12) ◽  
pp. 4311-4320 ◽  
Author(s):  
Yoji Iguchi ◽  
Pasomphone Hemthavy ◽  
Shigeki Saito ◽  
Kunio Takahashi
Keyword(s):  
Analytical Solution ◽  
Half Space ◽  
Contact Area ◽  
Elastic Half Space ◽  
Rigid Punch ◽  
Elastic Deformations ◽  
Circular Contact

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.

The solution of the contact between a tilted circular rigid punch and an elastic half-space

Wear ◽  
1995 ◽  
Vol 184 (1) ◽  
pp. 93-95 ◽  
Author(s):  
R.L. Munisamy ◽  
D.A. Hills ◽  
D. Nowell
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Rigid Punch

scholarly journals MODERN APPROACHES TO SOLVING THE CONTACT PROBLEM OF PRESSING A DOUBLESTAMP STAMP INTO AN ELASTIC HALF-SPACE

2021 ◽  
pp. 74-79
Author(s):  
Tetyana Zaytseva ◽  
Ivan Shmelov
Keyword(s):  
Finite Element ◽  
Half Space ◽  
Contact Area ◽  
Software Package ◽  
Complex Shape ◽  
Element Model ◽  
Circular Ring ◽  
Elastic Half Space ◽  
Ansys Software ◽  
Java Language

The work is devoted to solving indentation problems into an elastic half-space of a cylindrical punch with a flat base by the vertical force. The force is aimed through the center of the base. The cross-section of the stamp is a doubly connected area bounded by two concentric lines. A concise review of methods for solving problems of analyzing the contact interaction of cylindrical dies with an elastic half-space is given. The solution of the problem in the form of decomposition by a small parameter is used when the equation of the edge curves depends on the same small parameter. To achieve it, in each approximation, the problem of indentation of a stamp with a doubly connected contact area in the form of a non-circular ring is reduced to a similar problem of indentation of a stamp with a contact area in the form of a circular ring. The software in the Java language has been developed for processing the analytical solution according to the obtained calculation formulas. With the help of the ANSYS software package, a finite element model of the contact interaction of an absolutely rigid stamp with an elastic half-space has been created. Numerical modeling was carried out using a licensed version of the program, free of charge. Several problems have been solved for square rings of different widths. The distribution of pressure under the stamp over different sections and the deepening of the stamp have been obtained. The pressure distribution graphs are plotted. When considering several test problems to assess the adequacy of the finite element model, the numerical results are compared with the results obtained analytically. The resulting model can analyze and predict loads, wear, and fracture of the contact area. The research prospects can include the solution of several problems of analysis of the stress-strain state of the interaction of dies of a complex shape with an elastic half-space, as well as groups of stamps of a complex shape, and the analysis of behavior models depending on the properties and characteristics of an elastic half-space. Keywords: contact problem, stamp, stress-strain state, modeling, JAVA language, finite element analysis, ANSYS software package.

Interaction between a rigid cylinder and elastic half space subject to heat generation on the contact area

1994 ◽  
Vol 30 (11) ◽  
pp. 848-855
Author(s):  
V. P. Levitskii ◽  
V. P. Novosad ◽  
V. M. Onyshkevich
Keyword(s):  
Half Space ◽  
Heat Generation ◽  
Contact Area ◽  
Elastic Half Space ◽  
Rigid Cylinder

A Rigid Punch on an Elastic Half-Space Under the Effect of Friction: A Finite Difference Solution

2008 ◽  
Author(s):  
Avraham Dorogoy ◽  
Leslie Banks-Sills
Keyword(s):  
Finite Difference ◽  
Contact Problem ◽  
Half Space ◽  
Contact Zone ◽  
Contact Problems ◽  
Elastic Half Space ◽  
Rigid Punch ◽  
Normal Loading ◽  
Receding Contact ◽  
Stationary Contact

The accuracy of the finite difference technique in solving frictionless and frictional advancing contact problems is investigated by solving the problem of a rigid punch on an elastic halfspace subjected to normal loading. Stick and slip conditions between the elastic and the rigid materials are added to an existing numerical algorithm which was previously used for solving frictionless and frictional stationary and receding contact problems. The numerical additions are first tested by applying them in the solution of receding and stationary contact problems and comparing them to known solutions. The receding contact problem is that of an elastic slab on a rigid half-plane; the stationary contact problem is that of a flat rigid punch on an elastic half-space. In both cases the influence of friction is examined. The results are compared to those of other investigations with very good agreement observed. Once more it is verified that for both receding and stationary contact, load steps are not required for obtaining a solution if the loads are applied monotonically, whether or not there is friction. Next, an advancing contact problem of a round rigid punch on an elastic half-space subjected to normal loading, with and without the influence of friction is investigated. The results for frictionless advancing contact, which are obtained without load steps, are compared to analytical results, namely the Hertz problem; excellent agreement is observed. When friction is present, load steps and iterations for determining the contact area within each load step, are required. Hence, the existing code, in which only iterations to determine the contact zone were employed, was modified to include load steps, together with the above mentioned iterations for each load step. The effect of friction on the stress distribution and contact length is studied. It is found that when stick conditions appear in the contact zone, an increase in the friction coefficient results in an increase in the stick zone size within the contact zone. These results agree well with semianalytical results of another investigation, illustrating the accuracy and capabilities of the finite difference technique for advancing contact.

Tangential Interactions Arising When a Circular Rigid Punch Slides Over an Elastic Half-Space

2007 ◽  
Author(s):  
E. N. Diaconescu ◽  
M. L. Glovnea
Keyword(s):  
Shear Stress ◽  
Friction Coefficient ◽  
Half Space ◽  
Front Surface ◽  
Elastic Half Space ◽  
Dry Sliding ◽  
Rigid Punch ◽  
Perfect Agreement ◽  
Plane Normal ◽  
Constant Friction

The mechanism of surface interaction in dry sliding is attributed either to a constant friction coefficient or to a constant friction shear stress. This paper investigates these assumptions in the case of circular rigid punches sliding against the elastic half-space bounding plane. Normal displacements generated by these interactions are calculated. It is found that these do not comply with front surface of the punch in the case of a constant friction coefficient, whereas a perfect agreement arises when a constant friction shear stress is assumed.

Variational Approach in Elastic-Indentation Problems

2005 ◽  
Author(s):  
Roman V. Riznychuk
Keyword(s):  
Variational Method ◽  
Half Space ◽  
Contact Stress ◽  
Variational Approach ◽  
Stress Singularity ◽  
Elastic Half Space ◽  
Contact Spot ◽  
Rigid Punch ◽  
Elliptical Contact ◽  
Indentation Problem

The indentation problem of rigid punch with curvilinear base on elastic half-space is solved by variational method. The method is based on Betti theorem and on condition of absence of stress singularity at the edge of contact spot. Variation condition of absence of stress singularity at the edge of contact spot gives the equations connecting the displacement and the size and the shape of the contact spot and gives the expression for contact stress under curvilinear base of punch. The case of elliptical contact spot is considered.

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