Calculation of stresses in a multiply-connected anisotropic plate using stress functions of multiple complex variables |
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Authors: | Wang Linjiang Lin Jiakeng |
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Institution: | (1) Nanjing Aeronautical Institute, 210016 Nanjing, China |
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Abstract: | On the basis of anisotropic mathematical elasticity, using multiple conformal representations, the stress functions of multiple
complex variables for an infinite multiply-connected anisotropic plate are derived. The functions are developed in Fourier
series on unit circles, and the unknown coefficients of the functions are determined by undetermined coefficients method.
Then the stresses in the plate can be calculated. A plate containing multiple elliptical holes or cracks is discussed, and
the corresponding FORTRAN77 program is developed. Five examples are given. The results show that this method is very effective
and convenient.
The project supported by Aeronautical Science Foundation of China |
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Keywords: | holes composite plate anisotropic plate stress calculation |
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