Dynamic stress intensity factors of two 3D rectangular cracks in a transversely isotropic elastic material under a time-harmonic elastic P-wave |
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| Authors: | Hai-Tao Liu Zhen-Gong Zhou Wen-Juan Wu |
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| Institution: | 1. Science and Technology on Advanced Composites in Special Environments Laboratory, Harbin Institute of Technology, Harbin 150080, PR China;2. Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, PR China;3. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150080, PR China |
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| Abstract: | The dynamic stress intensity factors (DSIFs) of two 3D rectangular cracks in a transversely isotropic elastic material under an incident harmonic stress wave are investigated by generalized Almansi’s theorem and the Schmidt method in the present paper. Using 2D Fourier transform and defining the jumps of displacement components across the crack surface as the unknown functions, three pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement components across the crack surfaces are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the effects of the geometric shape of the rectangular crack, the characteristics of the harmonic wave and the distance between two rectangular cracks on the DSIFs of the transversely isotropic elastic material. |
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| Keywords: | Dynamic stress intensity factors Transversely isotropic elastic material Two rectangular cracks Time-harmonic elastic P-wave The Schmidt method |
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