Stress Solutions of some Axisymmetric and Non-Axisymmetric Cases with the Principles of Elasticity: A Review

Abstract:

Stress solutions are reviewed for some typical cases of axisymmetric and non-axisymmetric loads over a structural member with the principles of elasticity. A curved bar is chosen for the analysis. Tangential, radial and shear stress are determined analytically using Airy’s stress function. The curved bar is also modelled by finite element method to obtain numerical values of stress. Analytical and numerical results are in excellent agreement with each other.

• Periodical: Applied Mechanics and Materials (Volumes 215-216)
• Pages: 1026-1032
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.215-216.1026
• Online since: November 2012
• Authors: Suhas Ankalkhope, Nilesh Jadhav, Sunil Bhat
• Keywords: Airy’s Stress Function, Axisymmetric, Biharmonic Equation, Boundary Condition, Curved Bar, Elasticity, Finite Element Analysis (FEA), Non-Axisymmetric

References

[1] Theory of Elasticity by S.P. Timoshenko and J.N. Goodier, Third edition, Tata McGraw-Hill edition, pp.65-88

[2] Solid mechanics and its applications by J.R. Barber, University of Michigan, Ann Arbor, U.S.A. 2nd Edition, pp.123-127

[3] Principle of solid Mechanics by Rowland Richards, Jr., CRC Press, pp.162-171