Abstract
The mechanical behavior of fine-grained piezoelectric/substrate structure with screw dislocation and interface edge crack under the coupling action of heat, force and electricity are studied. Using the mapping function method, firstly, the finite area plane is transformed into the right semi-infinite plane, then the expression of the temperature field is given with the help of the complex function, and then the temperature field of the problem is achieved. By constructing the general solution of the governing equation with temperature function, the analytical expression of the image force is derived. Finally, the effects of material parameters, temperature gradient, coating thickness and crack size on image force are analyzed by numerical examples. The results show that the temperature gradient has a very significant effect on the image force, and thicker coating is conducive to the stability of dislocation and interface crack.
Highlights
Piezoelectric materials have been extensively used in aviation, aerospace, high-tech precision instruments, intelligent structures, structural health monitoring and other fields due to their unique properties
Liu et al [11,12] analytically the problems of screw dislocation and defects in one-dimensional hexagonal quasicrystal piezoelectric materials. They obtained the expressions of the stress field of screw dislocation and interface crack by using complex function method, and revealed the interaction between screw dislocation and stress field and the electric field by numerical examples
Lee and Pak [13] used the complex variable function and conformal transformation method was given in linear piezoelectric materials semi-infinite long crack and screw dislocation interaction explicit solution of the problem, after analysis found that the crack tip stress, electric displacement and electric field had a singularity, discussed under the condition of the limit of power lost, the results were consistent with pure elastic situation
Summary
Piezoelectric materials have been extensively used in aviation, aerospace, high-tech precision instruments, intelligent structures, structural health monitoring and other fields due to their unique properties. Liu et al [11,12] analytically the problems of screw dislocation and defects in one-dimensional hexagonal quasicrystal piezoelectric materials They obtained the expressions of the stress field of screw dislocation and interface crack by using complex function method, and revealed the interaction between screw dislocation and stress field and the electric field by numerical examples. Viun et al [17] examined the plane strain problem of finite permeable piezoelectric bi-material interface cracks under load They used complex function theory to transform the problem into a linear one, and given analytic expressions of the interface stress and crack tip strength factor in simple forms. The influence of various material parameters on image force were analyzed by numerical calculation
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