Abstract
This paper investigated the fracture behavior of a magneto-electro-elastic material subjected to transient electrical, magnetic and mechanical loads. The “smart” medium contains a straight-line crack, which is parallel to its poling direction and free boundary surface. The Fourier and Laplace transform techniques are used to reduce the problem to the solution of one Fredholm integral equation in Laplace domain and second equation in real domain. The Laplace inversion yields the result in the time domain. The equation in real domain is solved exactly. The semipermeable crack-face magneto-electric boundary conditions are utilized. Field intensity factors of stress, electric displacement, magnetic induction, crack displacement, electric and magnetic potentials and the energy release rate are determined. The electric displacement and magnetic induction of crack interior are discussed. Strong coupling between stress and electric and magnetic field near crack tips has been found. Numerical results are presented, and some conclusions are drawn.
Highlights
Many piezo-electro-magnetic devices may experience transient loads
The solutions for plane static problem of impermeable cracks have been formulated in terms of set of singular integral equations using Stroh formalism [12] and which are solved by a numerical integration technique
An integral equation formulation has been developed to analyze of a static response of impermeable penny-shaped cracks located at the interface of a piezo-electric bi-material system, and numerical scheme has been used to obtain the results
Summary
Many piezo-electro-magnetic devices may experience transient loads. For example, devices such as phase change transducers and pulse generators for igniter and high voltage transformers are almost routinely subjected to very large voltages over very short intervals of time. The magneto-electro-mechanical impact loading generates elastic waves through the structure, which are reflected and refracted at cracks, causing the local stresses to increase beyond its corresponding value under static loads of the same magnitude. An integral equation formulation has been developed to analyze of a static response of impermeable penny-shaped cracks located at the interface of a piezo-electric bi-material system, and numerical scheme has been used to obtain the results. There is a need to investigate the dielectric and magnetic conducting cracks in magneto-electro-elastic material (MEEMs) under transient electromechanical impact. Motivated by this consideration, this paper investigates a MEEMs half-space with an electrically. Since all the formulas in this paper are obtained in explicit expressions, this study may serve as a benchmark for further investigations in MEEMs
Sign-in/Register to view highlights & summary 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.
