Yu Mao-Hong Explained

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.^{[1] [2] [3] [4]} His unified strength theory (UST) has found acceptance as generalized classical strength theory.^{[5] [6]} It contains the following strength theories (hypotheses) and criteria as a function of the equivalent stress

\sigma _{eq} without any additional parameters:

• the normal stress theory (the William John Macquorn Rankine hypothesis),
• the Tresca yield criterion,
• the Sokolovsky^[7] regular dodecagon in the π-plane as approximation of the von Mises yield criterion, and
• the Schmidt-Ishlinsky^{[8] [9]} yield criterion

and three one-parameter (in addition to the equivalent stress

\sigma _{eq} ) criteria: the Mohr–Coulomb theory (Single-Shear-Theory (SST)), the Sdobyrev^[10] (Pisarenko-Lebedev)^{[11] [12]} criterion, and the Twin-Shear-Theory (TST). The Unified Yield Criterion (UYC) as a part of the UST is used in the theory of plasticity (physics).

Curriculum vitae

• • • 1951–1955 student at Zhejiang University, Hangzhou 1955–1959 assistant at Zhejiang University, Hangzhou 1960–1966 lecturer at Xi'an Jiaotong University, Xi'an
• 1978–1980 lecturer at Xi'an Jiaotong University, Xi'an
• 1981–1984 associate professor at Xi'an Jiaotong University, Xi'an
• 1985 till now professor at Xi'an Jiaotong University, Xi'an

Selected books

• Introduction to Unified Strength Theory. Mao-Hong Yu, Shu-Qi Yu, CRC Press, London, 2019,
• Unified Strength Theory and Its Applications, Second Edition. Mao-Hong Yu, Springer, Singapore, 2017,,
• Computational Plasticity: With Emphasis on the Application of the Unified Strength Theory (Advanced Topics in Science and Technology in China). Mao-Hong Yu, Jian-Chun Li, Springer, Berlin, 2012,
• Generalized Plasticity. Mao-Hong Yu, Guo-Wei Ma, Hong-Fu Qiang, Yong-Qiang Zhang, Springer, Berlin, 2010,
• Structural Plasticity: Limit, Shakedown and Dynamic Plastic Analyses of Structures (Advanced Topics in Science and Technology in China). Mao-Hong Yu, Guo-Wei Ma, Jian-Chun Li, Springer, Berlin, 2009,
• Generalized Plasticity. Mao-Hong Yu, Guo-Wei Ma, Hong-Fu Qiang, Yong-Qiang Zhang, Springer, Berlin, 2006, ; 978-3-540-25127-9
• Unified Strength Theory and Its Applications. Mao-Hong Yu, Springer, Berlin, 2004,
• Computational Plasticity (in Chinese). Mao-Hong Yu, Li Jian Chun, Springer, Berlin, 2000
• Engineering Strength Theory (in Chinese). Mao-Hong Yu, Higher Education Pressress, Beijing, 1999
• Researches on the Twin Shear Stress Strength Theory (in Chinese). Mao-Hong Yu, Xi'an Jiaotong University Press, Xi'an, 1988

Selected articles

• General behaviour of isotropic yield function (in Chinese: 各向同性屈服函数的一般性貭 - 俞茂鋐. Mao-Hong Yu, Scientific and Technological Research Paper of Xi'an Jiaotong University, Xi'an, 1961, pp. 1–11
• Brittle fracture and plastic yield criterion (in Chinese: 各向同性屈服函数的一般性貭 (双切屈服准則及其流动規律). Mao-Hong Yu, Scientific and Technological Research Paper of Xi'an Jiaotong University, Xi'an, 1962, pp. 1–25
• Twin shear stress yield criterion. Mao-Hong Yu, Int. J. Mech. Sci., 1(25), 1983, pp. 71–74
• Advances in strength theories for materials under complex stress state in the 20th century. Mao-Hong Yu, Applied Mechanics Reviews, 5(55), 2002, pp. 169–218
• Linear and non-linear Unified Strength Theory (in Chinese). Mao-Hong Yu, Journal of Geotechnical Engineering, 4(26), 2007, pp. 662–669
• Basic characteristics and development of yield criteria for geomaterials. Mao-Hong Yu, Xia, G., Kolupaev, V. A., Journal of Rock Mechanics and Geotechnical Engineering, 1(1), 2009, pp. 71–88,
• Unified Strength Theory (UST). Mao-Hong Yu, Rock Mechanics and Engineering, Volume 1: Principles, Editor: Xia-Ting Feng, pp. 425–450, CRC Press, London, 2017,

Awards

• 2011: National Natural Science Award, China
• 2014: Excellent Article Award, Journal of Rock mechanics and Geotechnical Engineering
• 2015: Ho Leung Ho Lee Foundation Price, China

References

1. Teodorescu, P.P. (București). (2006). Review: Unified Strength Theory and its applications, Zentralblatt MATH Database 1931–2009, European Mathematical Society,, FIZ Karlsruhe & Springer-Verlag
2. Fan, S. C., Qiang, H. F. (2001). Normal high-velocity impaction concrete slabs-a simulation using the meshless SPH procedures. Computational Mechanics-New Frontiers for New Millennium, Valliappan S. and Khalili N. eds. Elsevier Science Ltd, pp. 1457–1462
3. Zhang, C. Q., Zhou, H., Feng, X. T. (2008). Numerical format of elastoplastic constitutive model based on the unified strength theory in FLAC^3D (in Chinese). Rock and Soil Mechanics, 29(3), pp. 596-601
4. Zhao, G.-H.; Ed., (2006) Handbook of Engineering Mechanics, Rock Mechanics, Engineering Structures and Materials (in Chinese), China's Water Conservancy Resources and Hydropower Press, Beijing, pp. 20-21
5. Altenbach, H., Bolchoun, A., Kolupaev, V.A. (2013). Phenomenological Yield and Failure Criteria, in Altenbach, H., Öchsner, A., eds., Plasticity of Pressure-Sensitive Materials, Serie ASM, Springer, Heidelberg, pp. 49-152.
6. Kolupaev, V. A., Altenbach, H. (2010). Considerations on the Unified Strength Theory due to Mao-Hong Yu (in German: Einige Überlegungen zur Unified Strength Theory von Mao-Hong Yu), Forschung im Ingenieurwesen, 74(3), pp. 135-166.
7. Kolupaev, V. A., Yu, M.-H., Altenbach, H. (2013). Yield Criteria of Hexagonal Symmetry in the π-plane, Acta Mechanica, 224(7), pp. 1527–1540.
8. Schmidt, R. (1932). Über den Zusammenhang von Spannungen und Formänderungen im Verfestigungsgebiet. Ingenieur-Archiv, 3(3), pp. 215-235.
9. Ishlinsky, A. Yu. (1940). Hypothesis of Strength of Shape Change (in Russ.: Gipoteza prochnosti formoizmenenija). Uchebnye Zapiski Moskovskogo Universiteta, Mekhanika, 46, pp. 104-114.
10. Sdobyrev, V. P. (1959). Criterion for the long term strength of some heat-resistant alloys at a multiaxial loading (in Russ.: Kriterij dlitelnoj prochnosti dlja nekotorykh zharoprochnykh splavov pri slozhnom naprjazhennom sostojanii). Izvestija Akademii Nauk SSSR, Otdelenie tekhnicheskikh Nauk, Mechanika i Mashinostroenie, 6, pp. 93-99.
11. Pisarenko, G. S., Lebedev, A. A.. (1969). Deformation and Fracture of Materials under Combined Stress (in Russ.: Soprotivlenie materialov deformirovaniju i razrusheniju pri slozhnom naprjazhennom sostojanii). Naukowa Dumka, Kiev.
12. Pisarenko, G. S., Lebedev, A. A.. (1976). Deformation and Strength of Materials under Complex Stress State (in Russ.: Deformirovanie i prochnost' materialov pri slozhnom nap\-rjazhennom sostojanii). Naukowa Dumka, Kiev.