Transient response of a piezoelectric solid with multiple cracks under impact loading

2014 ◽  
Author(s):  
Peng Zhao ◽  
Tai-yan Qin
Keyword(s):  
Transient Response ◽  
Impact Loading ◽  
Multiple Cracks ◽  
Piezoelectric Solid

Transient response of cracked nonhomogeneous substrate with piezoelectric coating by dislocation method

2018 ◽  
Vol 23 (12) ◽  
pp. 1525-1536 ◽  
Author(s):  
H Ershad ◽  
R Bagheri ◽  
M Noroozi
Keyword(s):  
Transient Response ◽  
Mass Density ◽  
Singular Integral Equations ◽  
Functionally Graded ◽  
Geometrical Parameters ◽  
Multiple Cracks ◽  
Viscous Damping ◽  
Gradual Change ◽  
Dynamic Stress Intensity Factors ◽  
Orthotropic Strip

The transient response of a functionally graded material (FGM) orthotropic strip with a piezoelectric coating weakened by multiple cracks is investigated. The system is subjected to out-of-plane mechanical and in-plane electrical loading. The properties of the nonhomogeneous substrate are assumed to vary exponentially along the thickness and the energy dissipation is modeled by viscous damping. In this study, the rate of the gradual change of the shear moduli, mass density, and damping constant are assumed to be same. At first, the transient response of a Volterra-type dislocation in an FGM orthotropic strip is obtained analytically. Imposing a distributed dislocation density on the crack surface and using the Fourier and Laplace integral transforms, the problem is reduced to a system of singular integral equations for a substrate weakened by multiple cracks in the form of Cauchy singularity; which are solved numerically to obtain the dynamic stress intensity factors at the crack tips. Finally, the effects of the geometrical parameters, material properties, viscous damping and cracks arrangement on the dynamic fracture behavior of the interacting cracks are studied.

The Dynamic Response of Circular Lining Structure and Multiple Cracks in Half Space under Impact Loading

2009 ◽  
Vol 417-418 ◽  
pp. 713-716
Author(s):  
Zai Lin Yang ◽  
Mei Juan Xu ◽  
Bai Tao Sun
Keyword(s):  
Dynamic Response ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Impact Loading ◽  
Complex Function ◽  
Polar Coordinates ◽  
Multiple Cracks ◽  
Sh Wave ◽  
Lining Structure

The dynamic response of a circular lining structure and multiple cracks in an elastic half space while bearing impact loading is studied in this paper. This problem can be seen as the problem of defending of blast. The methods of Green's function, complex function and multi-polar coordinates are used here. First, the scattering wave which satisfies the condition of stress free on the ground surface of half-space containing a shallow-embedded circular lining structure impacted by incident SH-wave is constructed based on the symmetry of SH-wave scattering and the method of multi-polar coordinates system. Then a crack or multiple cracks in any position and direction can be constructed by Green's function and means of crack-division in half space. Finally the displacement field and stress field are established in the case of coexistence of circular lining structure and cracks, and the expression of dynamic stress intensity factor (DSIF) at the tip of crack is given. The interaction of inclusion and two cracks is chosen as numerical examples finally. According to nu-merical examples, the influences of different parameters on DSIF are discussed.

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