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Stress Space and Stress State

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Generalized Plasticity
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Summary

Elements and stress states are described briefly in this chapter. Stress states can be studied in many courses, such as elasticity, plasticity, mechanics of solids, rock mechanics, soil mechanics. The basic formulas are given here only.

The twin-shear stresses, the twin-shear element and the twin-shear stress parameter are new concepts. They are used in following chapters.

The relationships among various shear stresses and J2 are listed in Table 2.3. Various different notations may be used at different textbook.

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References

  • Chakrabarty J (1987) Theory of Plasticity. McGraw-Hill, New York.

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  • Johnson W. and Mellor P.B (1962), Plasticity for Mechanical Engineers. D.Van Nostrand Co. London.

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  • Kussmaul Karl (1981) Festigkeitslehre I. MPA Stuttgart, University Stuttgart, Stuttgart.

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  • Yu Mao-hong (1998) Twin-Shear Theory and Its Applications. Science Press, Beijing. (in Chinese)

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  • Yu Mao-hong (2004) Unified Strength Theory and Its Applications. Springer, Berlin.

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© 2006 Springer-Verlag Berlin Heidelberg

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(2006). Stress Space and Stress State. In: Generalized Plasticity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30433-9_2

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  • DOI: https://doi.org/10.1007/3-540-30433-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25127-9

  • Online ISBN: 978-3-540-30433-3

  • eBook Packages: EngineeringEngineering (R0)

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