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Displacement Discontinuity Method for Fracture Mechanics Analysis of Reissner Plates: Static and Dynamic |
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| Authors: | P. H. Wen M. H. Aliabadi J. Z. Zhang |
| Affiliation: | (1) Department of Engineering, Queen Mary, London University, London, E1 4NS, UK;(2) Department of Aeronautics, Imperial College London, South Kensington, London, SW7 2BY, UK;(3) Composite Research Centre, Harbin Institute of Technology, Harbin, 150001, P.R.China |
| Abstract: | This paper is concerned with the displacement discontinuity method applied to the shear deformable plates (Reissner’s and Mindlin’s theories) with cracks subjected to static and dynamic loads. Fundamental solutions of dislocation are derived using the Fourier transform method and the Laplace transformation technique. Boundary integral equations are presented in terms of rotations/displacement on the crack surfaces. The Chebyshev polynomials of the second kind are used to evaluate the integral equations with hypersingular kernels on the crack boundaries and determine the stress intensity factors at the crack tips. Comparisons are made with other numerical solutions to demonstrate the proposed method is accurate both for static and dynamic problems. |
| Keywords: | Boundary element method dislocation method Mindlin’ s plate bending static and dynamic loads |
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