Graduate Thesis Or Dissertation
 

Elastodynamic analysis of a propagating finite crack in a micropolar elastic solid

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  • A dynamic propagation of a finite crack of opening mode in a micropolar elastic solid was investigated. By using an integral transform method, a pair of twodimensional singular integral equations governing stress and couple stress was formulated in terms of the displacement transverse to the crack, macro- and microrotations, and microinertia. These integral equations are solved numerically. Solutions for dynamic stress intensity and couple stress intensity factors are obtained by utilizing the values of the strengths of the square root singularities in the macro-rotation and the gradient of the micro-rotation at the crack tips. The motion of the crack tips and the load on the crack surface are not prescribed in the formulation of the problem. Therefore, the method of solution is applicable to nonuniform rates of propagation of a crack under an arbitrary time-dependent load on the crack surface. The behavior of the micro-rotation field, and the dynamic couple stress intensity factor, which are influenced by microinertia, in addition to the dynamic stress intensity factor, are examined. The classical elasticity solution for the corresponding problem follows as a special case of our solution when the micropolar moduli are dropped.
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