Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-28T21:55:24.952Z Has data issue: false hasContentIssue false
  • English
  • Français

Three-Dimensional Solution for the Stress Field Around a Circular Hole in a Plate

Published online by Cambridge University Press:  12 August 2014

W.-D. Tseng  and
J.-Q. Tarn
W.-D. Tseng*
Affiliation:
Department of Construction Engineering, Nan Jeon University of Science and Technology, Tainan, Taiwan
J.-Q. Tarn
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan
*
*[email protected]
Get access

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

Circular holeHamiltonianState spaceStress concentrationThree-dimensional elasticity
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 6 , December 2014 , pp. 611 - 624
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Timoshenko, S. P. and Goodier, J. N., Theory of Elasticity, 3rd Ed., McGraw-Hill, New York (1970).Google Scholar
2.Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Body, Mir, Moscow (1981).Google Scholar
3.Kotousov, A. and Wang, C. H, “Three-Dimensional Stress Constraint in an Elastic Plate with a Notch,” International Journal of Solids and Structures, 39, pp. 4311–4326 (2002).Google Scholar
4.Li, Z. H., Guo, W. L. and Kuang, Z. B., “Three-dimensional Elastic Stress Fields Near Notches in Finite Thickness Plates,” International Journal of Solids and Structures, 37, pp. 7617–7631 (2000).CrossRefGoogle Scholar
5.She, C. M. and Guo, W. L., “Three-dimensional Stress Concentrations at Elliptic holes in Elastic Isotropic Plates Subjected to Tensile Stress,” International Journal of Fatigue, 29, pp. 330–335 (2007).CrossRefGoogle Scholar
6.Yang, Z., Kim, C. B., Cho, C. and Beom, H. G., “The Concentration of Stress and Strain in Finite Thickness Elastic Plate Containing a Circular Hole,” International Journal of Solids and Structures, 45, pp. 713–731 (2008).Google Scholar
7.Folias, E. S. and Wang, J. J., “On the Three-dimensional Stress Field Around a Circular Hole in a Plate of Arbitrary Thickness,” Computational Mechanics, 6, pp. 379–391 (1990).Google Scholar
8.Folias, E. S., “On the Three-dimensional Theory of Cracked Plates,” Journal of Applied Mechanics, 42, pp. 663–674 (1975).CrossRefGoogle Scholar
9.Kantorovich, L. V. and Krylov, V. I., Approximate Methods of Higher Analysis, Nordhoff, Groninger, the Nederlands (1964).Google Scholar
10.Tarn, J. Q., “A State Space Formalism for Anisotropic Elasticity, Part II: Cylindrical Anisotropy,” International Journal of Solids and Structures, 39, pp. 5157–5172 (2002).CrossRefGoogle Scholar
11.Tarn, J. Q., Tseng, W. D. and Chang, H. H., “A Circular Elastic Cylinder under its Own Weight,” International Journal of Solids and Structures, 46, pp. 2886–2896 (2009).CrossRefGoogle Scholar
12.Tarn, J. Q., Chang, H. H. and Tseng, W. D., “Axisymmetric Deformation of a Transversely Isotropic Cylindrical Body: A Hamiltonian State-space Approach,” Journal of Elasticity, 97, pp. 131–154 (2009).Google Scholar
13.Tarn, J. Q., Chang, H. H. and Tseng, W. D., “A Hamiltonian State Space Approach for 3D Analysis of Circular Cantilevers,” Journal of Elasticity, 101, pp. 207–237 (2010).Google Scholar
14.Tarn, J. Q. and Tseng, W. D., “Exact Analysis of Curved Beams and Arches with Arbitrary End Conditions: A Hamiltonian State Space Approach,” Journal of Elasticity, 107, pp. 39–63 (2012).Google Scholar
15.Hildebrand, F. B., Advanced Calculus for Applications, 2nd Ed., Prentice-Hall, Englewood Cliffs, New Jersey (1976).Google Scholar
16.Zhong, W. X., A New Systematic Methodology for Theory of Elasticity, Dalian University of Technology Press, Dalian, China (1995). (in Chinese).Google Scholar