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2014 | OriginalPaper | Chapter

11. Functionally Graded Piezoelectric Media with a Single Anti-plane Crack

Authors : Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov

Published in: Dynamic Fracture of Piezoelectric Materials

Publisher: Springer International Publishing

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Abstract

Treated is an arbitrarily shaped anti-plane shear crack in a finite inhomogeneous piezoelectric domain under time-harmonic loading. Within a unified scheme different types of inhomogeneity are considered for which the material parameters may vary in arbitrary directions. The problem is solved by using a numerically efficient non-hypersingular traction BIEM. The fundamental solutions for the different inhomogeneity types are derived in closed form. Numerical results for the SIFs are discussed. They show the effect of the material inhomogeneity type and characteristics and the efficiency of the computational method.

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previous chapter In-plane Crack Problems in Functionally Graded Piezoelectric Solids
next chapter Multiple Anti-plane Cracks in Quadratically Inhomogeneous Piezoelectric Finite Solids
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Metadata
Title
Functionally Graded Piezoelectric Media with a Single Anti-plane Crack
Authors
Petia Dineva
Dietmar Gross
Ralf Müller
Tsviatko Rangelov
Copyright Year
2014
Book
Dynamic Fracture of Piezoelectric Materials

Print ISBN: 978-3-319-03960-2

Electronic ISBN: 978-3-319-03961-9

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-03961-9_11

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