Abstract
This chapter presents a theoretical and numerical investigation of the elastic-plastic behavior of thick-walled cylindrical pressure vessels loaded by combined large hydrostatic pressure and axial force. A novel approach is introduced for develo** general theory, considering material behavior with nonlinear isotropic hardening. The adopted constitutive law is based on applying the von Mises yield criterion in association with the normality rule. The resulting stress and strain distributions are obtained and presented for a case study of combined internal pressure and axial load. The theoretical analysis is validated by comparing the results with those obtained numerically using nonlinear finite element simulation. This investigation addresses a persisting unresolved problem and provides a solution which results in continuous stress and strain fields throughout the cylinder wall. Earlier attempts cited in literature provided incorrect solutions due to invalid assumptions and/or inadequate selection of the yield criterion. The findings provide valuable information in the safety design of extremely loaded pressure vessels and establish the basis for further research in this field.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Belayev, N. M., & Sinltsklj, A. K. (1938). Stresses and deformations in thick-walled cylinders on the plastic-elastic state of material. Bulletin of the Academy Science of the U.R.S.S.
Bruhns, O. T. (1974). Einige Bemerkungnen zur Bestimmung von Verzweigungslasten elastoplastisch derformierter Kontinua, Mitteilung Nr. 74–9 des Inst. f. konstr. Ing.bau, Ruhr-Univ. Bochum.
Celep, Z. (1971). Beitrag zur Theorie dicker Kreiszylinder- und Kugelschalen unter innerem Druck. Diss. TU Hannover.
Fischer, B. (1977). Zur zyklischen, elastoplastischen Beanspruchung eines dickwandigen Zylinders bei endlichen Verzerrungen, Mitteilungen aus dem Institut für Mechanik Nr. 9, Ruhr-Universität Bochum.
Hodge, P. G., & White, G. N. (1950). A quantitative comparison of flow and deformation theories of plasticity. Journal of Applied Mechanics, 17, 180–184.
Imaninejad, M., & Subhash, G. (2005). Proportional loading of thick-walled cylinders. International Journal of Pressure Vessels and Pi**, 82, 129–135.
Lame, M. G. (1852). Lecons sur la Theorie Mathematique de l’Elasticite des Corps Solides. Paris: Imprimeur-Libraire.
MacGregor, C. W., Coffin, L. F., Jr., & Fisher, J. C. (1948). Partially plastic thick-walled tubes. Journal of Franklin Institute, 245, 135–158.
Oeynhausen, H. (1981). Verzweigungslasten elastoplastisch deformierter, dickwandiger Kreiszylinder unter Innendruck und Axialkraft, Mitt. Institut f. Mechanik, No. 29, RU Bochum.
Sokolovskij, V. V. (1955). Theorie der Plastizität. Berlin: VEB Verlag Technik.
Turner, L. B. (1909). The stresses in a thick hollow cylinder subjected to internal pressure. Transactions of the Cambridge Philosophical Society, 21, 377–396.
Zander, G. (1981). Zur Bestimmung von Verzweigungslasten dünner Kreiszylinder unter kombinierter Längs- und Torsionsbelastung, Mitteilungen aus dem Institut für Mechanik Nr. 27 Ruhr-Universität Bochum.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Takla, M. (2018). Theoretical and Numerical Investigation of the Elastic-Plastic Behavior of Thick-Walled Cylinders. In: Dai, L., Jazar, R. (eds) Nonlinear Approaches in Engineering Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-69480-1_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-69480-1_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69479-5
Online ISBN: 978-3-319-69480-1
eBook Packages: EngineeringEngineering (R0)