Journal article
Some new aspects of boundary conditions at cracks in piezoelectrics
Publication Details
Authors: | Gellmann, R.; Ricoeur, A. |
Publisher: | Springer Science Business Media |
Publication year: | 2012 |
Journal: | Archive of Applied Mechanics |
Pages range : | 841-852 |
Volume number: | 82 |
Start page: | 841 |
End page: | 852 |
Number of pages: | 12 |
ISSN: | 0939-1533 |
DOI-Link der Erstveröffentlichung: |
Abstract
Fracture mechanical investigations of piezoelectric materials as components of smart structures have become popular in the last 30 years. In the early years of research, boundary conditions at crack faces have been adopted from pure mechanical systems under the assumption that boundaries were traction free. From the electrostatic point of view, cracks have been assumed to be either free of charge or fully permeable. Later, limitedly permeable crack boundary conditions have become popular among the community, nevertheless still assuming traction-free crack faces. Recently, the theoretical framework has been extended to include electrostatically induced mechanical tractions in crack models yielding a significant crack closure effect. However, these models are still simple, neglecting, e.g., the piezoelectric field coupling. In this work, we present an extended model for crack surface tractions yielding some interesting effects. In particular, the orientation of the electrical field with respect to the poling axis becomes important. Furthermore, applying a collinear stress parallel to the crack faces influences the Mode-I stress intensity factor and a Mode-II shear loading couples to the Mode-I SIF.
Fracture mechanical investigations of piezoelectric materials as components of smart structures have become popular in the last 30 years. In the early years of research, boundary conditions at crack faces have been adopted from pure mechanical systems under the assumption that boundaries were traction free. From the electrostatic point of view, cracks have been assumed to be either free of charge or fully permeable. Later, limitedly permeable crack boundary conditions have become popular among the community, nevertheless still assuming traction-free crack faces. Recently, the theoretical framework has been extended to include electrostatically induced mechanical tractions in crack models yielding a significant crack closure effect. However, these models are still simple, neglecting, e.g., the piezoelectric field coupling. In this work, we present an extended model for crack surface tractions yielding some interesting effects. In particular, the orientation of the electrical field with respect to the poling axis becomes important. Furthermore, applying a collinear stress parallel to the crack faces influences the Mode-I stress intensity factor and a Mode-II shear loading couples to the Mode-I SIF.
Keywords
Coulomb stresses, Crack boundary conditions, Fracture mechanics, Piezoelectrics
