ISSN 3041-1815. Physicochemical Mechanics of Materials. 2025.
Volume 61, Issue 4
Determination of limiting load when reaching the metal yield under plane deformation
Keywords
general yield, limiting load, yield line.
Cite as
Hanulich B. K. Determination of limiting load when reaching the metal yield under plane deformation. Physicochemical Mechanics of Materials. 2025. 61(4), 061-066.
https://doi.org/10.15407/pcmm2025.04.061
Abstract
A method for calculating the limiting load under plane deformation, when the yield line divides the body into two parts, is proposed. The geometry of the yield line is determined by methods of variational calculus; within the framework of the proposed assumptions. The stress function, which determines the appearance of a straight line (strip) of yield, is obtained.
References
- F. A. McClintock, and A. S. Argon, “Mechanical Behavior of Materials. Reading, Mass”. – Addison-Wesley, 1966. – 420 p.
- Nádai A. A Mechanics of the Plastic State of Matter. – New York: McGraw-Hill Book Co., 1931. – 350 p.
- S. N. Bandyopadhyay, G. S. Singh, and G. L. Murty, “An experimental study of crack tip plastic flow in mild steel,” Eng. Fract.Mech., 14, Is. 3, 565-580 (1981). https://doi.org/10.1016/0013-7944(81)90044-8
- A. G. Korn, and T. M. Korn, “Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. – Mineola, New York: Dover Publications, Inc., 2013. – 1152 р.
- S. P. Timoshenko, and J. N. Goodier, Theory of Elasticity. – New York: McGraw-Hill, 1970. – 576 p.
- B. K. Ganulich, “On stress relaxation at a mode 1 crack tip in a metallic materials,” Strength of Materials, No. 3, 37-43 (1994). https://doi.org/10.1007/BF02209394