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Complex Variables Method for Several Classes of Anti-plane Crack Problems of Piezoelectric Materials

Author: WangWenShuai
Tutor: LiXing
School: Ningxia University
Course: Applied Mathematics
Keywords: Piezoelectric material Anti - plane crack Analytical continuation Conformal mapping
CLC: TB34
Type: Master's thesis
Year: 2005
Downloads: 164
Quote: 0
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Abstract


This article is in the linear macro theory of piezoelectric material , the main use of complex function theory to study the static antiplane crack in an infinite piezoelectric material . First studied the the cycle distribution collinear Antiplane by means of the Riemann-Schwarz continuation and conformal mapping method , discussed two conditions on the electrical permeability and non-permeable boundary conditions , to obtain a closed form the solution to obtain the stress and electric displacement intensity factor of the crack tip , and the value of the interference between the effect and the scale effect in the periodic crack . Followed by the continuation by means of a circular domain technology , research arc crack problem in the far-field infinite plane load , the use of non - permeable boundary conditions to obtain a closed form solution and the crack tip mechanics and electrical intensity factor expression style . Finally, the use of complex variable function series expansion of the general solution of the infinite plane containing holes antiplane problem , and then by means of conformal mapping , parabolic crack under far-field loads , using penetration boundary conditions , obtained mechanical and electrical intensity factor of the crack tip .

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CLC: > Industrial Technology > General industrial technology > Materials science and engineering > Functional Materials
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