Three-Dimensional Elastic Stress Fields of Finite Thickness Plates with Elliptical Hole


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Based on detailed three-dimensional finite element analyses, elastic stress and strain field of ellipse major axis end in plates with different thickness and ellipse configurations subjected to uniaxial tension have been investigated. The plate thickness and ellipse configuration have obvious effects on the stress concentration factor, which is higher in finite thickness plates than in plane stress and plane strain cases. The out-of-plane stress constraint factor tends the maximum on the mid-plane and approaches to zero on the free plane. Stress concentration factors distribute ununiformly through the plate thickness, the value and location of maximum stress concentration factor depend on the plate thickness and the ellipse configurations. Both stress concentration factor in the middle plane and the maximum stress concentration factor are greater than that under plane stress or plane strain states, so it is unsafe to suppose a tensioned plate with finite thickness as one undergone plane stress or plane strain. For the sharper notch, the influence of three-dimensional stress state on the SCF must be considered.



Key Engineering Materials (Volumes 353-358)

Edited by:

Yu Zhou, Shan-Tung Tu and Xishan Xie




Z. Yang et al., "Three-Dimensional Elastic Stress Fields of Finite Thickness Plates with Elliptical Hole", Key Engineering Materials, Vols. 353-358, pp. 74-77, 2007

Online since:

September 2007




[1] Z. Li, W. Guo, and Z. Kuang: Int. J. Solids and Structures. Vol. 37(2000), p.7617.

[2] Z. Li and W. Guo: Int. J. Fracture. Vol. 107(2001), p.53.

[3] E. Sternberg, M. Sadowsky and I. Chicago: J. Appl. Mech. Vol. 16(1949), p.27.

[4] T. Nakamura and D. Parks: J. Appl. Mech. Vol. 55(1988), p.805.

[5] Z. Yang, C. Huo, X. Zhao and W. Guo: Journal of Xi'an Jiaotong University. Sep., Vol. 38(2004), p.971.

0 0. 5 1. 0 1. 5 2. 0.




3 B/a = 2. 0 a/W = 0. 01 t =0. 1 t =0. 3 t =0. 5 t =0. 7 t =0. 9 t =1. 0 (Tz)m-p x/B Decreasing t.

0 0. 5 1. 0 1. 5 2. 0.




3 B/a =0. 05 B/a =0. 1 B/a =0. 5 B/a =1. 0 B/a =2. 0 B/a =5. 0 B/a =10. 0 (Tz)m-p x/B t = 0. 1 a/W = 0. 01 Fig. 5 The distribution of the Tz on the mid-plane of (a) different B/a and (b) different t (a) (b).

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