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Strength theory is now generalized not only to perfect elasto-plastic and hardening problems, but also strain softening, elasto-brittle-plastic behavior, discontinuities, localization and bifurcation, microcrack propagation, viscoplasticity, post-critical response, fatigue, fracture, damage, mesomechanics, soil-water characteristics of unsaturated soils, strain Appl Mech Rev vol 55, no 3, May 2002 gradient plasticity ͑Fleck and Hutchinson et al ͓710,1036,1046͔͒, and other areas. Strength theory was also applied to dynamic yield surfaces ͑Ziegler et al ͓869,1002,1003,1053,1054͔͒, SPH ͑Smoothed Particle Hydrodynamics, Libersky and Petschek ͓1044͔͒, thermomechanics ͓754͔, etc.

Int. Acade. , 303–308. Yin GZ, Li H et al ͑1987͒, The experimental study of the influence of engineering stress changes on strength characteristics of rocks, Chinese J. Geotech. , 9͑2͒, 20–28 ͑English abstract͒. Wang CZ, Guo ZH, and Zhang XQ ͑1987͒, Experimental investigation of biaxial and triaxial compressive concrete strength, ACI Mater. , 84͑2͒, 92–100. Guo ZH and Wang CZ ͑1991͒, Investigation of strength and failure criterion of concrete under multi-axial stresses ͑in Chinese͒, China Civil Engineering Journal, 24͑3͒, 1–14.

Phys. Earth, 25͑Suppl͒, S203–S217. Mogi K ͑1979͒, Flow and fracture of rocks under general triaxial compresion, Proc of 4th Int Congress on Rock Mechanics ͑Montreux͒, A Balkema, Rotterdam, 3, 123–130. , 2, 223–228. Schickert G ͑1972͒, Design of an apparatus for short time testing of concrete under triaxial load, Concrete for Nuclear Reactors, ACI SP34-63, 3, 1355–1376. Newman JB ͑1974͒, Apparatus for testing concrete under multiaxial state of stress, Mag. , 26͑89͒, 221–238. Reik G and Zacas M ͑1978͒, Strength and deformation characteristics of jointed media in true triaxial compression, Int.

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Advances in strength theories for materials under complex stress state in the 20th Century by Mao-hong Yu


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