The Eigenvalue Problem and Saint-Venant Decay Rate for a Nonhomogeneous Semi-Infinite Strip in Plane Strain

Qing Yang; Kai Zhang; Bai Lin Zheng; Jian Xin Zhu

doi:10.4028/www.scientific.net/AMR.706-708.1822

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 706-708The Eigenvalue Problem and Saint-Venant Decay Rate...

The Eigenvalue Problem and Saint-Venant Decay Rate for a Nonhomogeneous Semi-Infinite Strip in Plane Strain

Abstract:

The eigenvalue problem referring to a nonhomogeneous semi-infinite strip in plane strain is investigated here, by using the analogous methodology proposed by Papkovich and Fadle in homogeneous plane problem. Two types of nonhomogeneity are considered: (i) the modulus varies with the thickness coordinate exponentially, (ii) it varies with the length coordinate exponentially. The eigenvalues for these two cases are obtained by numerical calculation. By considering the smallest positive eigenvalue, the Saint-Venant Decay rate of the problem is estimated, which indicates material nonhomogeneity can have a significant influence on the Saint-Venant decay rate.

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Periodical:

Advanced Materials Research (Volumes 706-708)

Pages:

1822-1826

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https://doi.org/10.4028/www.scientific.net/AMR.706-708.1822

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June 2013

Authors:

Qing Yang, Kai Zhang, Bai Lin Zheng, Jian Xin Zhu

Keywords:

Eigenvalue, Nonhomogeneous Semi-Infinite Strip, Saint-Venant Decay Rate

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