scholarly journals Dynamic Response of Multiple Coplanar Interface Cracks between Two Dissimilar Piezoelectric Materials

2004 ◽  
Vol 261-263 ◽  
pp. 477-482 ◽  
Author(s):  
Wen Jie Feng ◽  
Zhi Wen Zou ◽  
R.K.L. Su ◽  
Z.Z. Zou
Keyword(s):  
Dynamic Response ◽  
Piezoelectric Materials ◽  
Singular Integral Equations ◽  
Integral Transforms ◽  
Interface Cracks ◽  
Numerical Examples ◽  
Linear Piezoelectricity ◽  
Cauchy Singular Integral ◽  
Field Integral ◽  
Dynamic Energy Release Rate

The linear piezoelectricity theory is applied to investigate the dynamic response of coplanar interface cracks between two dissimilar piezoelectric materials subjected to the mechanical and electrical impacts. The number of cracks is arbitrary, and the interface cracks are assumed to be permeable for electric field. Integral transforms and dislocation density function are employed to reduce the problem to Cauchy singular integral equations. Numerical examples are given to show the effects of crack relative position and material property parameters on the variations of dynamic energy release rate.

Moving Load on a Laminated Composite

1974 ◽  
Vol 41 (3) ◽  
pp. 663-667 ◽  
Author(s):  
C. Sve ◽  
G. Herrmann
Keyword(s):  
Dynamic Response ◽  
Half Plane ◽  
Moving Load ◽  
Formal Solution ◽  
Laminated Composite ◽  
Laplace Transforms ◽  
Layered Material ◽  
Effective Stiffness ◽  
Far Field ◽  
Numerical Examples

A solution is presented for the dynamic response of a periodically laminated half plane that consists of alternating layers of two different materials and is subjected to a moving load. The laminations are parallel to the surface of the half plane, and the velocity of the load is steady and supersonic. An effective stiffness theory developed by Sun, Achenbach, and Herrmann is used to model the layered material, and the formal solution is obtained with the aid of Laplace transforms. A far-field solution is constructed with the head-of-the-pulse procedure, and several numerical examples are presented.

Load History Effects on Fretting Contacts of Isotropic Materials

2004 ◽  
Vol 126 (2) ◽  
pp. 385-390 ◽  
Author(s):  
P. T. Rajeev ◽  
H. Murthy ◽  
T. N. Farris
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Singular Integral Equations ◽  
Contact Problems ◽  
Two Dimensional ◽  
Load History ◽  
Jet Engine ◽  
Isotropic Materials ◽  
History Effects ◽  
Cauchy Singular Integral

The load history that blade/disk contacts in jet engine attachment hardware are subject to can be very complex. Using finite element method (FEM) to track changes in the contact tractions due to changing loads can be computationally very expensive. For two-dimensional plane-strain contact problems with friction involving similar/dissimilar isotropic materials, the contact tractions can be related to the initial gap function and the slip function using coupled Cauchy singular integral equations (SIEs). The effect of load history on the contact tractions is illustrated by presenting results for an example fretting “mission.” For the case of dissimilar isotropic materials the mission results show the effect of the coupling between the shear traction and the contact pressure.

scholarly journals Research on Multiple Griffith Cracks at the Interface of Fine-Grained Piezoelectric Coating/Substrate

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Shuaishuai Hu ◽  
Jiansheng Liu ◽  
Junlin Li
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Singular Integral ◽  
Release Rate ◽  
Electric Displacement ◽  
Singular Integral Equations ◽  
Interface Cracks ◽  
Fine Grained ◽  
Piezoelectric Structure ◽  
Bimaterial Structure

The behavior of a fine-grained piezoelectric coating/substrate with multiple Griffith interface cracks under electromechanical loads is investigated. In this work, double coupled singular integral equations are proposed to solve the fracture problems. Both the singular integral equation and single-valued conditions are simplified into an algebraic equation and solved by numerical calculation. Thereby, the intensity factors of electric displacement and stress obtained are used to obtain the expression of the energy release rate. Furthermore, numerical results of the energy release rate with material parameters are demonstrated. Based on the obtained results, it could be concluded that the energy release rate is closely related to the size of the interface cracks and the mechanical-electrical loading. For a bimaterial structure, the fine-grained piezoelectric structure exhibited better material performance compared to the large one.

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