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Cracks Interaction in a Pre-Stressed and Pre-Polarized Piezoelectric Material

Published online by Cambridge University Press:  17 January 2020

E.M. Craciun ,
A. Rabaea  and
S. Das
E.M. Craciun*
Affiliation:
Department of Naval, Port and Power Engineering, “Ovidius” University of Constanta, Constanta, Romania
A. Rabaea
Affiliation:
Department of Mathematics and Computer Science, Technical University of Cluj-Napoca, N.U.C.B.M. Baia Mare, Romania
S. Das
Affiliation:
Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi-221005, India
*
* Corresponding author ([email protected])
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Abstract

We formulate and solve the mathematical problem for antiplane cracks in a pre-stressed and pre-polarized piezoelectric material with static initial fields, assuming the initially deformed configuration of the body is locally stable. Using the boundary conditions of antiplane cracks, we get the Riemann-Hilbert problems. Nonhomogeneous linear complex differential equations having the unknown complex potential are obtained. For constant value of the applied incremental forces can be obtained the complex potentials, incremental displacement and stress fields corresponding to the third mode of the classical fracture. The problem of interaction of two collinear, unequal cracks in a pre-stressed and pre-polarized piezoelectric material, is also studied.

Keywords

piezoelectricitypre-stressedpre-polarizedcracks interactionantiplane mode
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 2 , April 2020 , pp. 177 - 182
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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References

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