The Thermo-Mechanics Coupled Model of Polycrystalline Aggregates Based on Plastic Slip System in Crystals and their Interfaces


Article Preview

This paper presents the thermal-mechanical coupled model of polycrystalline aggregates based on plastic slip theory inside crystals and on the interfaces of crystals. It involves the mechanics and heat conduction behaviors caused by both force loads and temperature changing in the polycrystalline aggregates. At first, the constitutive relationship inside single crystal, and the moment equations and energy equations are derived by means of rate-dependent plastic deformation theory and the formulas of elastic-plastic tangent modulus depended on temperature. And those on crystal interfaces are also given. Based on the ABAQUS software [1], the subroutines to calculate the tension, torsion and bending strength of polycrystalline copper are coded. The numerical simulation results show that breakages occurred more easily on the interfaces than other areas of the polycrystalline aggregates, especially for bending loading and torsion loading, and that’s consistent with results by molecular dynamics but their computing cost are less and less than MD simulation.



Advanced Materials Research (Volumes 295-297)

Edited by:

Pengcheng Wang, Liqun Ai, Yungang Li, Xiaoming Sang and Jinglong Bu




Y. Chen et al., "The Thermo-Mechanics Coupled Model of Polycrystalline Aggregates Based on Plastic Slip System in Crystals and their Interfaces", Advanced Materials Research, Vols. 295-297, pp. 397-405, 2011

Online since:

July 2011




[1] ABAQUS Reference Manuals.

[2] Taylor. G. I: J. Institute of Metals 62, 307-324. (1938).

[3] Hill. R: J. Mech. Phys. Solids 14, 95-102. (1966).

[4] Rice. J. R: J. Mech. Phys. Solids 19, 433-455. (1971).

[5] Asaro. R. J: J. Mech. Phys. Solids 25, 309-338. (1977).

[6] Havner. K. S: Finite Plastic deformation of crystalline solids, Cambridge University Press (1992).

[7] Y.G. Huang: A user-material subroutine incorporating single crystal plasticity in the abaqus finite element program,Mech, 178 (1991).

[8] Y.Q. Wu, in: Sci China Ser G 39(9), 1195-1203. (2009).

[9] Sharat Chand Prasad: Constitutive modeling of creep of single crystal superalloys(2005).

[10] C. Miehe: Comput. Methods Appl. Mech. Engrg120, 243-269. (1995).

[11] J.C. Simo and C. Miehe: comput. Methods app. Mech. Engrg 98, 41-104. (1992).

[12] P. Rosakis and A.J. Rosakis: J. Mech. Phys. Solids 48, 581-607. (2000).

[13] M. Canadija and J. Brni: Int.J. Plas 20, 1851–1874. ( 2004).

[14] L. Anand and M. Kothari: J. Mech. Phys. Solids 44(4), 528-558. (1995).

[15] F. Cazes and M. Coret: Int. J. of Solids and Structures 46, 1476-1490. (2009).

[16] A.R. Khoei and S.O.R. Biabanaki : Int. J. of Solids and Structures 46, 287-310. (2009).

[17] X.F. Guan and J.Z. Cui, in: A elasto-plasticity model and computational method for dynamic thermo-mechanical coupled multi-scale Analysis (2009).

[18] J.D. Clayton: J. Mech. and Physics of solids 53, 261-301. (2005).

[19] L. Anand and M.E. Gurtin: Journal of the Mechanics and Physics of Solids 51, 1015-1058. (2003).

[20] Rosakis. P: J. Mech. Phys. Solids 581–607. (2000).

[21] T.A. Laursen: Computational Contact and Impact Mechnaics , Duke university, USA(2005).

[22] L. Adam and J.P. Ponthot: International Journal of Solids and Structures 42, 5615-5655. (2005).

[23] Belytschko T., W.K. Liu and Moran. B: Nonlinear Finite Elements for Continua and Structures, John Wiley and Sons Ltd, London (2000).

[24] Z.F. Yue, in: Strength design on turbine lamina structure of Ni-based single crystal [M]. Beijing: Science publishing company(2008).

[25] Y. Chen, J.Z. Cui, in: Acta Mechanica Solida Sinica, Accepted ( 2010).

[26] Hirth J. P and Lothe. J: 2nd edition. New York: John Wiley& Sons (1982).

[27] Y.J. Wei and L. Anand: J. Mech. Phys. Solids (52), 2587-2616. (2004).

[28] X. Tian, J.Z. Cui: Mode. Simu. Mater. Sci. and Eng , Accepted (2010).