Multilevel Models of Polycrystalline Metals: Application for Cyclic Loading Description

Abstract:

The general structure of multilevel models of polycrystalline inelastic deformation based on crystal plasticity and allow describing the evolution of materials internal structure is considered. It is assumed that crystallite inelastic deformation is realized by intragranular dislocation slipping and is accompanied by a lattice rotation. The paper focuses on the description of hardening laws formulated on the basis of physical analysis of defect structure elements interactions. To establish the connection between similar characteristics of different scale levels the consistency conditions of constitutive relations are used. Results of computational experiments on cyclic loading of representative volume of polycrystalline pure copper are obtained; it shows that proposed models allows to describe some effects of metals cyclic loading.

• Periodical: Solid State Phenomena (Volume 243)
• Pages: 155-162
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.243.155
• Online since: October 2015
• Authors: Peter V. Trusov, Pavel S. Volegov*, Alexey I. Shveykin, Dmitry S. Gribov
• Keywords: Crystal Plasticity, Cyclic Loading, Internal Structure Evolution, Multilevel Models, Texture

References

[1] McDowell D.L., Internal state variable theory, in: S. Yip (Ed. ), Handbook of Materials Modeling, Springer, 2005, p.1151–1169.

DOI: 10.1007/978-1-4020-3286-8_58

[2] Trusov P.V., Shveykin A.I., Nechaeva E.S., Volegov P.S., Multilevel models of inelastic deformation of materials and their application for description of internal structure evolution, Physical Mesomechanics. 15 (3-4) (2012) 155-175.

DOI: 10.1134/s1029959912020038

[3] Habraken A., Modelling the plastic anisotropy of metals, Arch. Comput. Meth. Engng. 11 (1) (2004) 3-96.

[4] Van Houtte P., Crystal plasticity based modelling of deformation textures, in: Haldar A., Suwas S., Bhattacharjee D. (Eds. ), Microstructure and Texture in Steels, Springer, pp.209-224.

DOI: 10.1007/978-1-84882-454-6_12

[5] Horstemeyer M.F., Multiscale modeling: a review, in: Leszczynski J.,. Shukla M. K (Eds. ), Practical Aspects of Computational Chemistry, Springer Science Business Media B.V., 2009, p.87–135.

DOI: 10.1007/978-90-481-2687-3_4

[6] McDowell D.L., A perspective on trends in multiscale plasticity, Int. J. Plast. 26 (9) (2010), pp.1280-3009.

[7] Van Houtte P., Delannay L., Samajdar I., Quantitive prediction of cold rolling textures in low-carbon steel by means of the LAMEL models, Text. Microstruct. 31 (1999) 109–149.

DOI: 10.1155/tsm.31.109

[8] Balasubramanian S., Anand L., Elasto-viscoplastic constitutive equations for polycrystalline fcc materials at low homologous temperatures, J. Mech. Phys. Solids. 50 (2002) 101–126.

DOI: 10.1016/s0022-5096(01)00022-9

[9] Anand L., Single-crystal elasto-viscoplasticity: application to texture evolution in polycrystalline metals at large strains, Comput. Meth. Appl. Mech. Eng. 193 (2004) 5359–5383.

DOI: 10.1016/j.cma.2003.12.068

[10] Trusov P.V., Volegov P.S., Shveykin A.I., Multilevel model of inelastic deformation of FCC polycrystalline with description of structure evolution, Comput. Mater. Sc. 79 (2013) 429-441.

DOI: 10.1016/j.commatsci.2013.06.037

[11] Kondratev N.S., Trusov P.V., Description of hardening slip systems due to the boundaries of the crystallines in a polycrystalline aggregate, PNRPU Mechanics Bulletin, 3 (2012) 78–97.

[12] Benallal A., Marquis D., Constitutive equations for nonproportional cyclic elastoviscoplasticity, J. Eng. Mater. Technol. 109 (1988) 326-336.

DOI: 10.1115/1.3225985