By Mao-hong Yu
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Additional info for Advances in strength theories for materials under complex stress state in the 20th Century
Struct. Eng. (Japan) 41A, 385–392. Ma GW, Yu MH, Iwasaki S, and Miyamoto Y ͑1995͒, Unified elasto-plastic solution to rotating disc and cylinder, J. Struct. Eng. 41A, 79– 85. Zhao JH ͑1998͒, The limit load of rectangular plate by use of the unified yield criterion ͑in Chinese͒, J. Mech. Strength 20͑3͒, 181– 184. Li JC, Yu MH, and Xiao Y ͑2000͒, Unified limit solution for oblique plate of metal ͑English Abstract͒, Chinese J. of Mech. Engrg. 36͑8͒, 25–28. Ma GW, Hao H, and Miyamoto Y ͑2001͒, Limit angular velocity of rotating disc with unified yield criterion, Int.
13͑1͒, 4 –14. Heyman J ͑1997͒, Coulomb’s Menoir on Statics, Imperial College Press, London. Schajer GS ͑1998͒, Mohr-Coulomb criterion expressed in terms of stress invariants, ASME J. Appl. , 65, 1066 –1068. von Mises R ͑1913͒, Mechanik der festen Ko¨rper im plastisch deformablen Zustand, Nachrichten von der Ko¨niglichen Gesellschaft der wissenschaften zu Go¨ettinger, Mathematisch-physikalische Klasse, 582–592. , 22, 81 ͑Lwow, 1904͒; Pisma, 2, PWN, Warsaw, 1956. Hencky H ͑1925͒, Zur Theorie plastischer Deformationen und der Hierdurch im Material hervogerufenen Nebenspannungen, Proc.
In recent years the theory of structures has been undergoing a major change in design philosophy: the transition from elastic analysis to that in which the plastic reserves of the material are utilized. A partial exploitation of the plastic properties of materials was allowed by the standards of many countries for the design of structures. Strength theories are also widely used in the slip line field of plane plastic strain, characteristic line field of plane stress and axial symmetric plasticity problems, linear and non-linear analysis of structures by FEM, BEM, Discontinuous Deformation Analysis ͑DDA͒, Numerical Manifold Method ͑NMM͒, and others.