Unified Strength Theory
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Unified Strength Theory
The unified strength theory (UST).Yu M. H., He L. N. (1991) A new model and theory on yield and failure of materials under the complex stress state. Mechanical Behaviour of Materials-6 (ICM-6). Jono M and Inoue T eds. Pergamon Press, Oxford, (3), pp. 841–846. https://doi.org/10.1016/B978-0-08-037890-9.50389-6 proposed by Yu Mao-Hong is a series of yield criteria (see yield surface) and failure criteria (see Material failure theory). It is a generalized classical strength theory which can be used to describe the yielding or failure of material begins when the combination of principal stresses reaches a critical value. Mathematical Formulation Mathematically, the formulation of UST is expressed in principal stress state as where ,, are three principal stresses, is the uniaxial tensile strength and \alpha is tension-compression strength ratio (\alpha = /). The unified yield criterion (UYC) is the simplification of UST when \alpha = 1, i.e. Limit surfaces of Unified Strengt ...
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Yu Mao-Hong
Yu Mao-Hong (, b. 1934) is a Chinese engineer and a university professor. He is noted for his research on the strength criteria and yield surfaces of isotropic materials. His unified strength theory (UST) has found acceptance as generalized classical strength theory. It contains the following strength theories (hypotheses) and criteria as a function of the equivalent stress \sigma_\mathrm without any additional parameters: * the normal stress theory (the William John Macquorn Rankine hypothesis), * the Tresca yield criterion, * the Sokolovsky regular polygon, regular dodecagon in the π-plane as approximation of the von Mises yield criterion, and * the Schmidt-Ishlinsky yield criterion and three one-parameter (in addition to the equivalent stress \sigma_\mathrm) criteria: the Mohr–Coulomb theory (Single-Shear-Theory (SST)), the Sdobyrev (Pisarenko-Lebedev)Pisarenko, G. S., Lebedev, A. A.. (1976). ''Deformation and Strength of Materials under Complex Stress State (in Russ.: De ...
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