An infinite plate with a curvilinear hole having three poles with complex parameters

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 5

Abstract

This paper covered the study of the boundary value problem for isotropic homogeneous perforated infinite elastic media. For this, we considered the problem of a thin infinite plate of specific thickness with a curvilinear hole where the origin lie outside the hole is conformally mapped outside a unit circle by means of a specific rational mapping . The complex variable method has been applied and it transforms the problem to the integrodifferential equation with Cauchy kernel that can be solved to find two complex potential functions which called Gaursat functions. Many special cases are discussed and established of these functions .Also, many applications and examples are considered. Moreover the components of stress , in each application , are computed.

Authors and Affiliations

Fatimah Salem Bayones, B. M Alharbi

Keywords

Related Articles

Matrices of inversions for permutations: Recognition and Applications

This work provides a criterion for a binary strictly upper triangle matrices to be a matrix of inversions for a permutation. It admits an invariant matrices for permutations to being well recognizable. Then it provides a...

Approximation of The Lower Operator in Nonlinear Differential Games with Non-Fixed Time

Approximate properties of the lower operator in nonlinear differential games with non-fixed time are studied.

A probability space of continuous-time discrete value stochastic process with Markov property

Getting acquainted with the theory of stochastic processes we can read the following statement: "In the ordinary axiomatization of probability theory by means of measure theory, the problem is to construct a sigma-algebr...

Results on n-tupled fixed points in complete ordered metric spaces.

The aim of this paper is to study  n-tupled coincidence and n-tupled fixed point results, a new notion propounded by M.Imdad et.al.[13] for compatible maps in partially ordered metric spaces. Our results generalize,...

Controlled 2-Frames in 2-Hilbert Spaces

Controlled frames in Hilbert spaces and 2-frames in 2-Hilbert spaces are studied, some results on them are presented. The controlled 2-frames in 2-Hilbert spaces is introduced. Some results on controlled 2-frames are est...

Download PDF file
  • EP ID EP651568
  • DOI 10.24297/jam.v11i5.1248
  • Views 124
  • Downloads 0

How To Cite

Fatimah Salem Bayones, B. M Alharbi (2015). An infinite plate with a curvilinear hole having three poles with complex parameters. JOURNAL OF ADVANCES IN MATHEMATICS, 11(5), 5198-5210. https://europub.co.uk/articles/-A-651568