Abstract
As for plastic deformation, in order to account for the deformation path (or history) dependent on mechanical properties in plasticity, the plastic (natural) strain increment, \(d{\varvec{\upvarepsilon}}^{p} ( {=} {\mathbf{D}}^{p} dt)\), is extensively applied as discussed in Remark #11.4.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brünig, M., & Obercht, H. (1998). Finite elastic-plastic deformation behaviour of crystalline solids based on a non-associated macroscopic flow rule. International Journal of Plasticity, 14, 1189–1208.
Chung, K., & Richmond, O. (1986). A deformation based theory of plasticity based on minimum work paths. Journal of Mechanics and Physics of Solids, 34, 511–523.
Dorn, J. E. (1949). Stress-strain relations for anisotropic plastic flow. Journal of Applied Physics, 20, 15.
Drucker, D. C., & Prager, W. (1952). Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics, 10, 157–165
Hill, R. (1948). A theory of the yielding and plastic flow of anisotropic metals. In Proceedings of the Royal Society of London (p. 281).
Hosford, W. (1972). A generalized isotropic yield criterion. Journal of Applied Mechanics, 39, 607–609.
Hosford, F., & Caddell, M. (2014). Metal forming: Mechanics and Metallurgy (4th ed.). Cambridge: Cambridge University Press.
Jackson, L. R., Smith, K. F., & Lankford, W. T. (1948). Plastic flow of anisotropic metals. Proceedings of the Royal Society of London A, 193, 281.
Tresca, H. (1864). Mémoire sur l’écoulement des corps solides soumis à de fortes pressions. C.R. Acad. Sci. Paris, 59, 754.
Von-Mises, R. (1913). Mechanik der festen Körper im plastisch deformablen Zustand. Gött. Nachr. Math. Phys Klasse, 1, 582–592
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Chung, K., Lee, MG. (2018). Normality Rule for Plastic Deformation. In: Basics of Continuum Plasticity. Springer, Singapore. https://doi.org/10.1007/978-981-10-8306-8_13
Download citation
DOI: https://doi.org/10.1007/978-981-10-8306-8_13
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-8305-1
Online ISBN: 978-981-10-8306-8
eBook Packages: EngineeringEngineering (R0)