Journal article
Extended semi-analytical investigations of crack growth resistance behavior in ferroelectric materials



Publication Details
Authors:
Gellmann, R.; Ricoeur, A.
Publisher:
Springer Science Business Media
Publication year:
2012
Journal:
Acta Mechanica
Pages range:
2357-2368
Volume number:
223
Start page:
2357
End page:
2368
Number of pages:
12
ISSN:
0001-5970

Abstract
In the present work, we study the effective fracture toughness of ferroelectrics by taking the microscopic as well as the macroscopic level into account. On the macroscopic length scale, we apply an extended theory of stresses at interfaces in dielectric solids. Further, on the microscopic length scale, nonlinear effects are introduced by applying the small-scale switching approximation, that is, the effects are limited to a small region around the crack tip. Finally, we discuss the effective fracture toughness and crack resistance curves for different loading and poling conditions. In contrast to previous approaches, the analysis is done considering the full anisotropy and electromechanical coupling of the material by using piezoelectric weight functions. Thus, the presented model also takes the inverse switching (180A degrees) into account yielding a contribution to both the stress and the electric displacement intensity factors.

Last updated on 2019-25-07 at 17:47