scholarly journals Normal and Tangential Contact Between Anisotropic Materials With an Anisotropic Coating

2012 ◽  
Author(s):  
C. Bagault ◽  
D. Nélias ◽  
M.-C. Baietto
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Analytical Solutions ◽  
Analytical Methods ◽  
Rigid Sphere ◽  
Problem Solution ◽  
Numerical Techniques ◽  
Tangential Contact ◽  
Anisotropic Problems ◽  
Recent Developments

A contact model using semi analytical methods, relying on elementary analytical solutions, has been developed. It is based on numerical techniques adapted to contact mechanics, with strong potential for inelastic, inhomogeneous or anisotropic problems. Recent developments aim to quantify displacements and stresses of an anisotropic half space with an anisotropic coating which is in contact with a rigid sphere. The influence of symmetry axes on the contact problem solution will be more specifically analyzed.

scholarly journals Normal and Tangential Contact Between Anisotropic Materials

2011 ◽  
Author(s):  
C. Bagault ◽  
M.-C. Baietto ◽  
D. Ne´lias
Keyword(s):  
Contact Problem ◽  
Contact Mechanics ◽  
Anisotropic Material ◽  
Analytic Solutions ◽  
Anisotropic Materials ◽  
Contact Model ◽  
Problem Solution ◽  
Tangential Contact ◽  
Anisotropic Problems ◽  
Recent Developments

A contact model using semi analytic methods, relying on elementary analytic solutions, has been developed. It is based on numeric techniques adapted to contact mechanics, with strong potential for inelastic, inhomogeneous or anisotropic problems. Recent developments aim to quantify displacements and stresses of an anisotropic material which is in contact with another anisotropic material. The influence of symmetry axes on the contact problem solution will be more specifically analyzed.

scholarly journals Contact Analyses for Anisotropic Half Space: Effect of the Anisotropy on the Pressure Distribution and Contact Area

2012 ◽  
Vol 134 (3) ◽  
Author(s):  
Caroline Bagault ◽  
Daniel Nélias ◽  
Marie-Christine Baietto
Keyword(s):  
Pressure Distribution ◽  
Contact Mechanics ◽  
Half Space ◽  
Analytical Solutions ◽  
Contact Area ◽  
Anisotropic Material ◽  
Analytical Methods ◽  
Numerical Techniques ◽  
Recent Developments ◽  
Space Effect

A contact model using semi-analytical methods, relying on elementary analytical solutions, has been developed. It is based on numerical techniques adapted to contact mechanics, with strong potential for inelastic, inhomogeneous or anisotropic materials. Recent developments aim to quantify displacements and stresses of an anisotropic material contacting both an isotropic or anisotropic material. The influence of symmetry axes on the contact solution will be more specifically analyzed.

scholarly journals Contact Analyses for Anisotropic Half Space With an Anisotropic Coating

2012 ◽  
Author(s):  
C. Bagault ◽  
D. Nélias ◽  
M.-C. Baietto ◽  
T. Ovaert
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Rigid Sphere ◽  
Manufacturing Processes ◽  
Problem Solution ◽  
Numerical Techniques ◽  
General Anisotropy ◽  
Recent Developments ◽  
Anisotropic Elastic ◽  
Wear Coatings

For most composite and mono-crystal materials their compositions or the elaboration and manufacturing processes imply that it exists one or two main directions or even a general anisotropy. Moreover, coatings are often used to prevent or control wear. Coatings do not have, generally, the same properties as the substrate and may have various thicknesses. The influence of the anisotropy orientations (in the coating and in the substrate) have to be taken into account to better predict the distribution of the contact pressure and the subsurface stress-field in order to optimize the service life of industrial components. A contact model using semi analytical methods, relying on elementary analytical solutions, has been developed. It is based on numerical techniques adapted to contact mechanics. Recent developments aim to quantify displacements and stresses of a layered anisotropic elastic half space which is in contact with a rigid sphere. The influence of material properties and layer thickness on the contact problem solution will be more specifically analyzed.

Axisymmetric contact with friction of a rigid sphere with an elastic half-space

2009 ◽  
Vol 465 (2108) ◽  
pp. 2565-2588 ◽  
Author(s):  
O. I. Zhupanska
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Integral Transform ◽  
Elastic Half Space ◽  
Rigid Sphere ◽  
Analytical Treatment ◽  
Normal Contact ◽  
Exact Analytical Solutions ◽  
Single Integral ◽  
Toroidal Coordinates

The problem of normal contact with friction of a rigid sphere with an elastic half-space is considered. An analytical treatment of the problem is presented, with the corresponding boundary-value problem formulated in the toroidal coordinates. A general solution in the form of Papkovich–Neuber functions and the Mehler–Fock integral transform is used to reduce the problem to a single integral equation with respect to the unknown contact pressure in the slip zone. An analysis of contact stresses is carried out, and exact analytical solutions are obtained in limiting cases, including a full stick contact problem and a contact problem for an incompressible half-space.

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.

The Contact Stresses Between a Rigid Indenter and a Viscoelastic Half-Space

1966 ◽  
Vol 33 (4) ◽  
pp. 845-854 ◽  
Author(s):  
T. C. T. Ting
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Contact Area ◽  
Contact Stresses ◽  
Spherical Indenter ◽  
Contact Radius ◽  
Rigid Sphere ◽  
Hertz Problem ◽  
Monotonically Increasing Function ◽  
Increasing Function

The Hertz problem for a rigid spherical indenter on a viscoelastic half-space was studied by Lee and Radok [1] in which the radius a(t) of the contact area is a monotonically increasing function of time t. Later, Hunter [2] studied the rebound of a rigid sphere on a viscoelastic half-space so that the contact radius a(t) increases monotonically to a maximum and then decreases to zero monotonically. The contact problem in which a(t) increases for the second time and decreases again does not seem to have been studied; nor has the contact problem in which a(t) is nonzero initially and decreases monotonically been studied. In this paper, a method is introduced so that the contact problem can be solved for arbitrary a(t). The rigid indenter is assumed to be smooth and axisymmetric but otherwise arbitrary. The viscoelastic solutions are expressed in terms of the associated elastic solutions. A means for measuring the viscoelastic Poisson’s ratio is suggested.

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