Impedance based structural health monitoring using piezoelectric material is a high frequency method for detection of tiny damage. For modeling of structure in high frequency using conventional finite element method very fine mesh is needed. For large structure, this leads to very large mass and stiffness matrices. So very high RAM is needed to save these matrices and simulation time would be very low. In this paper a method combined finite element method and boundary element method named scaled boundary finite element method is studied for health and cracked 2D structure. Impedance of healthy and cracked structure is compared and verified by finite element method. A good agreement is presented and very low degree of freedom is obtained compared with finite element method.

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