We determine the stresses and displacements formed in a finite cylinder under the action of an elastic ring simulated by uniformly distributed normal forces. For the analysis of the stress-strain state, we use the numerical-analytic least-squares method. It is shown that this method guarantees high accuracy of the solution. The changes in the stresses and displacements are analyzed depending on the radius of the cylinder, its length, and the width of the ring. We obtain two qualitatively different distributions of stresses and displacements.
Similar content being viewed by others
References
M. V. Barton, “The circular cylinder with a band of uniform pressure on a finite length of the surface,” J. Appl. Mech., 8, A97, 97–104 (1941).
H. D. Conway and K. A. Farnham, “Contact stresses between cylindrical shafts and sleeves,” Int. J. Eng. Sci., 5, No. 7, P. 541–554 (1967).
S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill, New York (1981).
K. L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge (1985).
V. P. Revenko, “Solving the three-dimensional equations of the linear theory of elasticity,” Prykl. Mekh., 45, No. 7, 52–65 (2009).
V. P. Revenko, “Investigation of the three-dimensional stressed state in elastic plates with circular holes,” Fiz.-Khim. Mekh. Mater., 45, No. 5, 71–76 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 46, No. 3, pp. 42–46, May–June, 2010.
Rights and permissions
About this article
Cite this article
Revenko, V.P. Investigation of the stress-strain state of a finite cylinder under the action of compressive forces. Mater Sci 46, 330–335 (2010). https://doi.org/10.1007/s11003-010-9294-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11003-010-9294-0