Indentation on a transversely isotropic half-space of multiferroic composite medium with a circular contact region

2018 ◽  
Vol 123 ◽  
pp. 236-289 ◽  
Author(s):  
F. Wu ◽  
X.-Y. Li ◽  
W.-Q. Chen ◽  
G.-Z. Kang ◽  
R. Müller
Keyword(s):  
Half Space ◽  
Contact Region ◽  
Transversely Isotropic ◽  
Composite Medium ◽  
Multiferroic Composite ◽  
Circular Contact

Contact Stress Analysis of a Layered Transversely Isotropic Half-Space

1992 ◽  
Vol 114 (2) ◽  
pp. 253-261 ◽  
Author(s):  
C. H. Kuo ◽  
L. M. Keer
Keyword(s):  
Half Space ◽  
Mixed Boundary ◽  
Contact Region ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Hankel Transform ◽  
Elastic Half Space ◽  
Contact Stresses ◽  
Stress Components ◽  
Contact Failure

The three-dimensional problem of contact between a spherical indenter and a multi-layered structure bonded to an elastic half-space is investigated. The layers and half-space are assumed to be composed of transversely isotropic materials. By the use of Hankel transforms, the mixed boundary value problem is reduced to an integral equation, which is solved numerically to determine the contact stresses and contact region. The interior displacement and stress fields in both the layer and half-space can be calculated from the inverse Hankel transform used with the solved contact stresses prescribed over the contact region. The stress components, which may be related to the contact failure of coatings, are discussed for various coating thicknesses.

Interaction between a Rigid Cylinder with a Piezoelectric Half-Space with Partial Adhesion

2008 ◽  
Vol 33-37 ◽  
pp. 333-338 ◽  
Author(s):  
Zuo Rong Chen ◽  
Shou Wen Yu
Keyword(s):  
Integral Equations ◽  
Half Space ◽  
Integral Transform ◽  
Mixed Boundary ◽  
Piezoelectric Materials ◽  
Contact Region ◽  
Electric Displacement ◽  
Transversely Isotropic ◽  
Dual Integral Equations ◽  
Slip Region

An axisymmetric problem of interaction of a rigid rotating flat ended punch with a transversely isotropic linear piezoelectric half-space is considered. The contact zone consists of an inner circular adhesion region surrounded by an outer annular slip region with Coulomb friction. Beyond the contact region, the surface of the piezoelectric half-space is free from load. With the aid of the Hankel integral transform, this mixed boundary value problem is formulated as a system of dual integral equations. By solving the dual integral equations, analytical expressions for the tangential stress and displacement, and normal electric displacement on the surface of the piezoelectric half-space are obtained. An explicit relationship between the radius of the adhesion region, the angle of the rotation of the punch, material parameters, and the applied loads is presented. The obtained results are useful for characterization of piezoelectric materials by micro-indentation and micro-friction techniques.

scholarly journals Effects of an axisymmetric rigid punch on a nonhomogeneous transversely isotropic half-space

2003 ◽  
Vol 44 (3) ◽  
pp. 461-474 ◽  
Author(s):  
P. K. Chaudhuri ◽  
Subhankar Ray
Keyword(s):  
Integral Equation ◽  
Half Space ◽  
Fredholm Integral Equation ◽  
Contact Region ◽  
Homogeneous Medium ◽  
Transversely Isotropic ◽  
Elastic Behaviour ◽  
Rigid Punch ◽  
Nonhomogeneous Medium ◽  
Homogeneous Case

AbstractElastic behaviour of a nonhomogeneous transversely isotropic half-space is studied under the action of a smooth rigid axisymmetric indentor. Hankel transforms of different orders have been used. It is observed that in contrast to a homogeneous medium, the pressure distribution in the contact region in a nonhomogeneous medium is not directly available, rather it is obtainable from the solution of a Fredholm integral equation. The integral equation is solved for a flat-ended punch and paraboloidal indentations for various values of the nonhomogeneity parameter, and the effects of nonhomogeneity in elastic behaviour on stresses have been shown graphically. The results of the associated homogeneous case are readily available from the results of the present study.

Vertical and horizontal vibrations of a rigid disc on a multilayered transversely isotropic half-space

2014 ◽  
Vol 61-62 ◽  
pp. 135-139 ◽  
Author(s):  
Morteza Eskandari-Ghadi ◽  
Seyed Masoud Nabizadeh ◽  
Azizollah Ardeshir-Behrestaghi
Keyword(s):  
Half Space ◽  
Transversely Isotropic ◽  
Rigid Disc
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