Abstract
In applied mechanics and engineering, materials and structures are generally regarded as continua. This permits us to describe the behaviour and consequences of the use of materials and structures by means of continuous functions. A material is a point (element), and a structure is a body. The structure may be considered as a partly ordered set of material elements (points) filling a structure (body). The cube is often used as an element.
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References
Chakrabarty J (1987) Theory of Plasticity. McGraw-Hill: New York.
Chou PC and Pagano NJ (1967) Elasticity: Tensor, Dynamic and Engineering Approaches. Van Nostrand, Princeton: New Jersey.
Davis RO and Selvadurai APS (2002) Plasticity and Geotechnics. Cambridge University Press: Cambridge.
Johnson W and Mellor PB (1962) Plasticity for Mechanical Engineers. D. Van Nostrand Co.: London.
Kussmaul Karl (1981) Festigkeitslehre I. MPA Stuttgart, University Stuttgart.
Timoshenko SP and Goodier JN (1970) Theory of Elasticity. McGraw-Hill: New York.
Yu MH (1961a) General behariour of isotropic yield function. Res. Report of Xi’an Jiaotong University. Xi’an, China (in Chinese).
Yu MH (1961b) Plastic potential and flow rules associated singular yield criterion. Res. Report of Xi’an Jiaotong University. Xi’an, China (in Chinese).
Yu MH (1983) Twin shear stress criterion of plastic deformation in metals. Chinese Science Bulletin (English edition), 28(8): 1141.
Yu MH and He LN (1983) Non-Schmid effect and twin shear stress criterion of plastic deformation in crystals and polycrystalline metals. Acta Metallurgica Sinica, 19(5): B190–196 (in Chinese, English abstr.).
Yu MH, He LN and Song LY (1985) Twin shear stress theory and its generalization. Scientia Sinica (Sciences in China), English edn. Series A, 28(11): 1174–1183.
Yu MH and He LN (1991) A new model and theory on yield and failure of materials under complex stress state. In: Mechanical Behaviour of Materials-6, Vol. 3, Pergamon Press: Oxford, pp 841–846.
Yu MH (1992) A new system of strength theory. Xian Jiaotong University Press: Xi’an, China (In Chinese).
Yu MH (1998) Twin-Shear Theory and its Applications. Science Press: Beijing (in Chinese).
Yu MH (2004) Unified Strength Theory and its Applications. Springer: Berlin.
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© 2012 Zhejiang University Press, Hangzhou and Springer-Verlag Berlin Heidelberg
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Yu, MH., Li, JC. (2012). Stress and Strain. In: Computational Plasticity. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24590-9_2
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DOI: https://doi.org/10.1007/978-3-642-24590-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24589-3
Online ISBN: 978-3-642-24590-9
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