THE EIGENVALUE PROBLEM AND SAINT-VENANT DECAY RATE FOR A NONHOMOGENEOUS SEMI-INFINITE STRIP |
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Authors: | Qing Yang Bailin Zheng Kai Zhang Jianxin Zhu |
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Institution: | School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China |
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Abstract: | The eigenvalue problem about a nonhomogeneous semi-infinite strip is investigated using the methodology proposed by Papkovich and Fadle for homogeneous plane problems. Two types of nonhomogeneity are considered: (i) the elastic modulus varying with the thickness coordinate x exponentially, (ii) it varying with the length coordinate y exponentially. The eigenvalues for the two cases are obtained numerically in plane strain and plane stress states, respectively. By considering the smallest positive eigenvalue, the Saint-Venant Decay rates are estimated, which indicates material nonhomogeneity has a significant influence on the Saint-Venant end effect. |
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Keywords: | eigenvalue Saint-Venant decay rate nonhomogeneous semi-infinite strip |
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