MSCE  Vol.2 No.11 , November 2014
On the Advantages of the Theories of Plasticity with Singular Loading Surface
ABSTRACT

This paper analyzes the peculiarities of plastic flow of metals for the case of non-proportional loading when the loading path consists of two portions—uniaxial tension and subsequent infinitesimal pure shear (torsion). The issue is discussed from the point of view of the hardening rules governing the kinetics of loading surface. Three cases are considered, flow plasticity theory with isotropic and kinematic hardening rule, as well as the synthetic theory of plastic deformation. As a result, the synthetic theory leads to the results that correlate with experiments, whereas the former two theories associated with smooth loading surfaces give a principal discrepancy with experimental data.


Cite this paper
Rusinko, A. and Fenyvesi, D. (2014) On the Advantages of the Theories of Plasticity with Singular Loading Surface. Journal of Materials Science and Chemical Engineering, 2, 14-19. doi: 10.4236/msce.2014.211003.
References
[1]   Sveshnikova, V.A. (1956) Plastic Deformation of Strain-Hardening Metals. Izvestija Akademii Nauk SSSR, Otdelenie Tekhnicheskikh Nauk, No. 1, 155-161. (In Russian)

[2]   Rusinko, A. and Rusinko, K. (2009) Synthetic Theory of Irreversible Deformation in the Context of Fundamental Bases of Plasticity. Mechanics of Materials, 41, 106-120.
http://dx.doi.org/10.1016/j.mechmat.2008.09.004

[3]   Rusinko, A. and Rusinko, K. (2011) Plasticity and Creep of Metals. Springer, Berlin and Heidelberg.
http://dx.doi.org/10.1007/978-3-642-21213-0

[4]   Chen, W.F. and Han, D.J. (1988) Plasticity for Structural Engineers. Springer, New York.
http://dx.doi.org/10.1007/978-1-4612-3864-5

[5]   Ilyushin, A.A. (1963) Plasticity. Izdatelstvo Akademii Nauk SSSR, Moscow. (In Russian)

[6]   Hill, R. (1998) The Mathematical Theory of Plasticity. Clarendon Press, oxford.

[7]   Batdorf, S. and Budiansky, B. (1949) Mathematical Theory of Plasticity Based on the Concept of Slip. NACA Technical Note, 871.

[8]   Sanders Jr., J.L. (1954) Plastic Stress-Strain Relations Based on Linear Loading Functions. Proceedings of the Second USA National Congress of Applied Mechanics, Ann Arbor, 14-18 June 1954, 455-460.

[9]   Rusinko, A. (2014) Feigen’s Phenomenon in Terms of the Synthetic Theory. International Journal of Engineering Research and Applications, 4, 172-180.

 
 
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