The potential theory method for a half-plane crack and contact problems of piezoelectric materials

2007 ◽  
Vol 78 (4) ◽  
pp. 596-601 ◽  
Author(s):  
Z.Y. Huang ◽  
R.H. Bao ◽  
Z.G. Bian
Keyword(s):  
Potential Theory ◽  
Half Plane ◽  
Piezoelectric Materials ◽  
Contact Problems ◽  
Plane Crack ◽  
Theory Method ◽  
Potential Theory Method

Spectral relationships of the integral equation with logarithmic kernel in some different domains

2014 ◽  
Vol 4 (3) ◽  
pp. 610-622
Author(s):  
M. I. Youssef ◽  
M. A. Abdou
Keyword(s):  
Integral Equation ◽  
Contact Problem ◽  
Potential Theory ◽  
Fredholm Integral Equation ◽  
Theory Of Elasticity ◽  
Theory Method ◽  
Logarithmic Kernel ◽  
Special Cases ◽  
Plane Theory Of Elasticity ◽  
Potential Theory Method

In this work, the Fredholm integral equation (FIE) with logarithmic kernel is investigated from the contact problem in the plane theory of elasticity. Then, using potential theory method (PTM), the spectral relationships (SRs) of this integral equation are obtained in some different domains of the contact. Many special cases and new SRs are established and discussed from this work.

The Elasto-Electric Field for a Rigid Conical Punch on a Transversely Isotropic Piezoelectric Half-Space

1999 ◽  
Vol 66 (3) ◽  
pp. 764-771 ◽  
Author(s):  
W.-Q. Chen ◽  
T. Shioya ◽  
H.-J. Ding
Keyword(s):  
Exact Solution ◽  
Electric Field ◽  
Potential Theory ◽  
Half Space ◽  
Piezoelectric Effect ◽  
Transversely Isotropic ◽  
Numerical Results ◽  
Theory Method ◽  
Elementary Functions ◽  
Potential Theory Method

This paper exactly analyzes the problem of a rigid conical punch indenting a transversely isotropic piezoelectric half-space. The potential theory method is employed and generalized to include the piezoelectric effect. By using the previous results of pure elasticity, exact solution is derived. It is found that all the elastoelectric variables are expressed in terms of elementary functions. Numerical results are finally performed.

Thermal Distortion of an Anisotropic Elastic Half-Plane and its Application in Contact Problems Including Frictional Heating

2005 ◽  
Vol 128 (1) ◽  
pp. 32-39 ◽  
Author(s):  
Yuan Lin ◽  
Timothy C. Ovaert
Keyword(s):  
Heat Flux ◽  
Half Plane ◽  
Frictional Heating ◽  
Contact Problems ◽  
Local Heat ◽  
Extended Version ◽  
Parabolic Profile ◽  
Local Heat Flux ◽  
Anisotropic Elastic ◽  
Thermoelastic Contact Problem

The thermal surface distortion of an anisotropic elastic half-plane is studied using the extended version of Stroh’s formalism. In general, the curvature of the surface depends both on the local heat flux into the half-plane and the local temperature variation along the surface. However, if the material is orthotropic, the curvature of the surface depends only on the local heat flux into the half-plane. As a direct application, the two-dimensional thermoelastic contact problem of an indenter sliding against an orthotropic half-plane is considered. Two cases, where the indenter has either a flat or a parabolic profile, are studied in detail. Comparisons with other available results in the literature show that the present method is correct and accurate.

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