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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Project supported by the National Natural Science Foundation of China (No.41072207).
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Yang, Q., Zheng, B., Zhang, K. et al. The Eigenvalue Problem and Saint-Venant Decay Rate for a Nonhomogeneous Semi-Infinite Strip. Acta Mech. Solida Sin. 27, 588–596 (2014). https://doi.org/10.1016/S0894-9166(15)60004-0
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DOI: https://doi.org/10.1016/S0894-9166(15)60004-0