A quantitative model of grain refinement and strain hardening during severe plastic deformation

Abstract The effect of severe plastic deformation (SPD) on grain refinement and strain hardening in polycrystalline metals is studied quantitatively. The decrease in size of dislocation cells and cell-blocks is expressed as a function of the effective plastic strain influenced by strain-rate reversals. The estimated growth of the high-angle boundary area fraction depends on the complexity of the three-dimensional deformation path. The strain hardening due to both dislocation and boundary strengthening is described in terms of microstructural parameters and incorporated in the continuum mechanics framework of finite strain plasticity. The proposed model provides a tool for quantitative comparison of different SPD processes. Examples of simulation of the behaviour of pure aluminium deformed by equal channel angular pressing (ECAP) and cyclic extrusion–compression are calculated.

[1]  T. Langdon,et al.  An investigation of microstructure and grain-boundary evolution during ECA pressing of pure aluminum , 2002 .

[2]  Laszlo S. Toth,et al.  A dislocation-based model for all hardening stages in large strain deformation , 1998 .

[3]  R. Valiev,et al.  Structure and deformaton behaviour of Armco iron subjected to severe plastic deformation , 1996 .

[4]  M. Zehetbauer Cold work hardening in stages IV and V of F.C.C. metals—II. Model fits and physical results , 1993 .

[5]  Q. Liu,et al.  Effect of grain orientation on deformation structure in cold-rolled polycrystalline aluminium , 1998 .

[6]  T. Langdon,et al.  Factors influencing the equilibrium grain size in equal-channel angular pressing: Role of Mg additions to aluminum , 1998 .

[7]  Bart Peeters,et al.  Work-hardening/softening behaviour of b.c.c. polycrystals during changing strain paths: I. An integrated model based on substructure and texture evolution, and its prediction of the stress–strain behaviour of an IF steel during two-stage strain paths , 2001 .

[8]  N. Hansen,et al.  Microstructure and strength of nickel at large strains , 2000 .

[9]  T. Langdon,et al.  Microstructural development in equal-channel angular pressing using a 60° die , 2004 .

[10]  W. Blum,et al.  Microstructure-based constitutive law of plastic deformation , 2002 .

[11]  U. F. Kocks,et al.  Physics and phenomenology of strain hardening: the FCC case , 2003 .

[12]  D. Lloyd,et al.  Microstructure and strength of commercial purity aluminium (AA 1200) cold-rolled to large strains , 2002 .

[13]  Bart Peeters,et al.  Modelling the initial stage of grain subdivision with the help of a coupled substructure and texture evolution algorithm , 2001 .

[14]  A. Korbel,et al.  Formation of shear bands during cyclic deformation of aluminium , 1985 .

[15]  S. Forest,et al.  Subgrain formation during deformation: Physical origin and consequences , 2002 .

[16]  E. Evangelista,et al.  Modelling grain boundary strengthening in ultra-fine grained aluminum alloys , 2005 .

[17]  T. Langdon,et al.  The evolution of homogeneity and grain refinement during equal-channel angular pressing: A model for grain refinement in ECAP , 2005 .

[18]  J. Chaboche Time-independent constitutive theories for cyclic plasticity , 1986 .

[19]  Terence G. Langdon,et al.  An investigation of microstructural evolution during equal-channel angular pressing , 1997 .

[20]  Q. Liu,et al.  Microstructural evolution over a large strain range in aluminium deformed by cyclic-extrusion–compression , 1999 .

[21]  V. Segal Materials processing by simple shear , 1995 .

[22]  T. Langdon,et al.  Factors influencing the shearing patterns in equal-channel angular pressing , 2002 .

[23]  N. Hansen,et al.  Microstructural evolution and hardening parameters , 2001 .

[24]  J. Bowen,et al.  Ultra-fine grain structures in aluminium alloys by severe deformation processing , 2004 .

[25]  H. Mughrabi,et al.  Dislocation wall and cell structures and long-range internal stresses in deformed metal crystals , 1983 .