Effects of complex modulus and residual stress on the vibration induced resonant fracture behavior of a multiferroic cylindrical structure

Abstract Multiferroic devices often serve under harmonic vibration. Resonance induced cracking is a common failure of them. The present work studies the resonant fracture of a multiferroic cylindrical structure by the combined methods of variable separation, infinite series, singular integral equation and Lobatto–Chebyshev collocation. It is found that complex modulus and residual stress are two important factors governing the resonant fracture behavior. Generally, the loss factors only affect the resonant amplitude of the fracture parameter, but the residual stress affects both the resonant amplitude and frequency. The obtained conclusions can provide guidelines for the anti-fracture optimal designs of multiferroic devices.