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Yield Criteria for Predicting the Strength of Metals
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Abstract
Under certain conditions, metals and other solids deform plastically. There are two conditions which promote plastic deformation: the condition of stress and the mechanism which determines how that deformation takes place. The critical condition of stress which produces yielding is due to the net effect of the combination of stresses acting at a point. A mathematical theory which predicts the critical condition of stress for which plastic flow occurs is a yield criterion.
A new yield criterion is introduced. It is hyperbolic in form so it is significantly different from the criteria developed by Rankine, Tresca, Saint-Venant, or von Mises. But like these criteria, the new yield condition is also limited to a biaxial stress condition.
The new yield criterion, because of its form, serves as an instructive model for the development of an analytical equation of equivalent form. As a result, the new yield criterion can be interpreted as an energy equation which includes a mechanism related to how metals flow plastically. This mechanism can be related to small angle (gonio) distortions which develop in materials according to a pattern or form (morphous) that is either fixed or controlled by the basic structure of the material and the condition of stress. As a result, this new criterion is identified as a goniomorphous yield criterion.
The analytical equation is used as a pattern for two additional yield criteria. These new criteria predict yield for a three-dimensional condition of stress for two different deformation patterns.
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Stanovsky, J., "Yield Criteria for Predicting the Strength of Metals," SAE Technical Paper 740797, 1974, https://doi.org/10.4271/740797.Also In
References
- de Saint-Venant Barre Paris 73 1871 86 91
- Levy Maurice Paris 70 1870 1323 1325
- Tresca H. Paris 59 1864 754
- de Saint-Venant Barre Paris 73 1871 1181 1184
- Maziere Pere Paris 1727
- Girard P. S. Paris 1798
- Rennie George “Account of Experiments Made on the Strength of Materials.” Philosophical Transactions Royal Society of London 1818 118
- Hodgkinson Eaton “On the Transverse Strain and Strength of Materials.” Memoirs of the Literary and Philosophical Society of Manchester London 4 1824 225 289
- Ritchie William “On the Elasticity of Threads of Giass with Some of the Most Useful Applications of This Property to Torsion Balances.” Philosophical Transactions Royal Society of London 1830 215 222
- Vicat Louis Paris 1833 201 268
- Weisbach J. 1 1848 Freiberg 252 265
- Hopkins W. “On the Internal Pressure to which Rock Masses may be Subjected, and Its Possible Influence in the Production of the Laminated Structure.” Cambridge Philosophical Transactions 8 1849 446 470
- Cox Homersham “The Deflection of Imperfectly Elastic Beams and the Hyperbolic Law of Elasticity.” Cambridge Philosophical Transactions 9 1850 177 190
- Todhunter Isaac Pearson Karl “A History of the Theory of Elasticity and of the Strength of Materials,” 1 Cambridge University Press 1886 833 872
- Todhunter Isaac Pearson Karl “A History of the Theory of Elasticity and of the Strength of Materials,” 2 Cambridge University Press 1893 164
- de Saint-Venant Barre Paris 70 473
- de Saint-Venant Barre Paris 70 1323
- de Saint-Venant Barre 16 1871 373 382
- von Mises R. 1913 582 592
- Mohr O. “Abhandlungen aus dem Gebiete der technischen Mechanik.” 2nd Berlin W. Ernst and Sohn 1914
- Guest J. J. “On the Strength of Ductile Materials under Combined Stress.” Philosophical Magazine 50 1900 69 132
- Hencky H. “Zur Theorie plastischer Deformationen und der dierdurch im Material hervorgerufenen Nebenspannungen.” Proc. 1st. International. Congress of Applied Mechanics 1924 312 317
- Lode W. 36 1926 913 939
- Prandtl L. 1924 43 54
- Taylor G. I. Quinney H. “The Plastic Distortion of Metals.” Philosophical Transactions Royal Society of London 230 1932 323 362
- Marin Joseph “Mechanical Behavior of Engineering Materials.” Englewood Cliffs, N. J. Prentice Hall 1962 104 169
- Mendelson Alexander “Plasticity: Theory and Application.” New York The MacMillan Co. 1968 70 99
- Nadai Arpad “Theory of Flow and Fracture of Solids.” New York McGraw Hill 1950 1 2nd 263 265
- Mitchell F. Hollingsworth Dr. 1973
- Stanovsky Joseph J. “Photoelastic Stress Patterns: An Analytical Method for Producing Facsimilies of Experimental Results.” Paper 730694 SAE Texas Section June 1973