Coupling effects of inertia and dual-phase-lag heat conduction on thermal shock fracture of a cracked piezoelectric layer. (15th June 2017)

• Record Type: Journal Article
• Authors: Guo, S.L.; Wang, B.L.; Nan, H.S.
• Is Part Of: Engineering fracture mechanics. Volume 179(2017)
• Page Start: 278
• Page End: 293
• Publication Date: 2017-06-15
• Subjects: Piezoelectric materials -- Fracture mechanics -- Thermal shock -- Dual-phase-lag heat conduction -- Inertia effect; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2017.03.047
• Languages: English
• ISSNs: 0013-7944

Abstract

Highlights: Effects of inertia and dual-phase-lag heat conduction on the fracture of a piezoelectric layer are studied. The inertia effect greatly intensifies the oscillation of the model I stress intensity factor for heated crack. The inertia effect can be ignored if the thermal wave speed is one order smaller than the stress wave velocity. The large temperature gradient lag to thermal flux lag ratio enhances the stress intensity factor. Abstract: This paper studies the thermal shock fracture mechanics of a piezoelectric material thin layer with an internal crack. The typical model I and model II cracking problems are separately considered. The analyses are based on the dual-phase-lag, non-Fourier heat conduction theory with consideration of material inertia. Laplace transform and dual integral equation technique are applied to solve the problems. Some numerical results of the stress intensity factor and energy release rate are obtained and drawn in figures. It is demonstrated that the effect of the inertia on the fracture behavior depends on the ratio of the thermal wave speed to the stress wave velocity. In addition, the large ratio of the temperature gradient lag to the thermal flux lag will greatly enhance the mode I and mode II stress intensity factors.