Abstract
I start with the theory of small deformations and fields superposed on large static deformations and fields, given by Eringen and Maugin ( Electrodynamics of Continua, Vol. 1, Foundations and Solid Media. Springer, New York (1990); Section 7.14). The considered body is an elastic dielectric and the quasi-static approximation is used. In the paper are given conditions in which the stability of the equilibrium state of a prestressed piezoelectric crystal is assured. Also established are conditions in which non-uniqueness, internal instability or resonance can occur. Finally, results are presented concerning the asymptotic behavior of the incremental fields near the tips of a crack in a prestressed piezoelectric crystal. It is proven that the stress singularity is the same as in an initial stress free body. The analysis is based on the use of complex potentials in order to represent the incremental fields.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
