Abstract
The unified strength theory, its singularity and the process of the piece-wise linear yield criterion, the implementation of the unified strength theory, and the subroutine of yield criteria (subroutine “INVAR” to calculate equivalent stresses), the subroutine of flow vector and the subroutine of the corner (subroutine “YIELD” and “FOLWPL” to calculate flow vector) have been introduced in previous chapters. Some simple examples including the plane stress, plane strain and spatial axial-symmetry problems will be described in this chapter. It is easy for the reader to find out about the possibility of adding new functions to the procedure (Yu, 1992; Yu et al., 1992; Yu 1994; UEPP User’s Manual, 1998).
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References
Chakrabarty J (1987) Theory of Plasticity. McGraw-Hill: New York.
Johnson W and Mellor PB (1962) Plasticity for Mechanical Engineers. Van Nostrand: London and New York.
Mendelson A (1968) Plasticity: Theory and Application. Macmillan: New York.
Owen DRJ and Hinton E (1980) Finite Elements in Plasticity: Theory and Practice. Pineridge Press Ltd: Swansea.
UEPP User’s Manual, Version 3.0(1998) Research Division of Structural Strength, Dept. of Civil Eng., Xi’an Jiaotong University.
Yu MH and Li YM (1991) Twin shear constitutive theory and its computational implementation. In: Computational Mechanics, Ed. by Cheung YK, Lee JHW and Leung AYT, Balkema, Rotterdam, pp 875–879.
Yu MH (1992) New System of Strength Theory. Xian Jiaotong University Press: Xian, China (in Chinese).
Yu MH, He LN and Zeng WB (1992) A new unified yield function: Its model, computational implementation and engineering application. Computational Methods in Engineering: Advances and Applications. Tay AAO and Lam KY eds. World Scientific: Singapore, pp 157–162.
Yu MH and Zeng WB (1994) New theory of engineering structural analysis and its application. J. Eng. Mech., 11(1): 9–20. (in Chinese, English abstract).
Yu MH, Zeng WB, Ma GW, Yang SY, Wang F and Wang Y (1993) Unified Elasto-Plastic Program-UEPP. Xian Jiaotong University, English version.
Yu MH (2004) Unified Strength Theory and Its Applications. Springer: Berlin.
Yu MH et al. (2006) Generalized Plasticity. Springer: Berlin.
Yu MH, Ma GW and Li JC (2009) Structural Plasticity: Limit, Shakedown and Dynamic Plastic Analyses of Structures. Springer and Zhejiang University Press.
Zienkiewicz (1971) The Finite Element Method in Engineering Science. McGraw-Hill: London.
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© 2012 Zhejiang University Press, Hangzhou and Springer-Verlag Berlin Heidelberg
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Yu, MH., Li, JC. (2012). Examples of the Application of Unified Elasto-Plastic Constitutive Relations. In: Computational Plasticity. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24590-9_7
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DOI: https://doi.org/10.1007/978-3-642-24590-9_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24589-3
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