Abstract
The analytical solution can promote the extensive generation of the numerical solution as a standard solution. The paper analyzes the retaining ring residual stress of the axial symmetry object and constructs stress function satisfied with boundary conditions and biharmonic equation, then works out the corresponding analytical solution and the limit of the axial symmetry object when it infinite long, it is the famous Sachs formula. Exporting Sachs formula shows that Sachs way is an especial form of stress function way, also shows stress function way has more comprehensive applicability.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Timoshenko, S., Goodier, J.N.: Theory of Elasticity, vol. 39, pp. 422–430. MoGrawhill Book Co., New York (1970)
Liu, Z., Shan, R., Liu, W., Ni, L.: Solution of a Hollow Thick-wall Cylinder Subject to Quadric Function Pressures and Its Limit when ℓ→ ∞. Science in China (Series E) 47(2), 229–236 (2004)
Duó, P., Liu, J., Dini, D., Golshan, M., Korsunsky, A.M.: Evaluation and analysis of residual stresses due to foreign object damage. Mechanics of Materials 39(3), 199–211 (2007)
Ding, H., Huang, D., Wang, H.: Analytical Solution for Fixed-end Beam Subjected to Uniform Load. Journal of Zhejiang University Science 6A(8), 779–783 (2005)
James, M.N., Hughes, D.J., Chen, Z., Lombard, H., Hattingh, D.G., Asquith, D., Yates, J.R., Webster, P.J.: Residual stresses and fatigue performance. Engineering Failure Analysis 14(2), 384–395 (2007)
Alegre, J.M., Bravo, P., Preciado, M.: Fatigue behaviour of an autofrettaged high-pressure vessel for the food industry. Engineering Failure Analysis 14(2), 396–407 (2007)
Sosa, A.D., EcheverrÃa, M.D., Moncada, O.J., Sikora, J.A.: Residual stresses, distortion and surface roughness produced by grinding thin wall ductile iron plates. International Journal of Machine Tools and Manufacture 47(2), 229–235 (2007)
Spiteri, P., Ho, S., Lee, Y.-L.: Assessment of bending fatigue limit for crankshaft sections with inclusion of residual stresses. International Journal of Fatigue 29(2), 318–329 (2007)
Kim, J.W., Lee, D.G.: Measurement of residual stresses in thick composite cylinders by the radial-cut-cylinder-bending method. Composite Structures 77(4), 444–456 (2007)
Kim, H.S., Lee, D.G.: Reduction of thermal residual stress of the hybrid co-cured structure using a dielectrometry. Composites Science and Technology 67(1), 29–44 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Liu, Q., Wang, G., Zheng, J. (2011). The Analytical Solution of Residual Stress in the Axial Symmetry Object. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27503-6_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-27503-6_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27502-9
Online ISBN: 978-3-642-27503-6
eBook Packages: Computer ScienceComputer Science (R0)