Work-hardening model for polycrystalline metals under strain reversal at large strains

Abstract The mechanical behaviours under reversed strain of low carbon steels and aluminium alloys are reviewed and modelled with a simple approach based on the evolutionary laws of two dislocation densities related respectively to the forward and the backward straining. In essence, it is the competition between the annihilation of the dislocations that were created during the prestrain and the storage of newly created dislocations that lead to the observed stagnation of the hardening rate. Textural effects as well as back stresses are shown to extend or to reduce the stress–strain plateau but are not responsible for it.

[1]  H. Takahashi,et al.  Backlash model for large deformation behavior of aluminum under torsional cyclic loading , 1991 .

[2]  T. Lowe,et al.  Modeling Internal Stresses in the Nonelastic Deformation of Metals , 1986 .

[3]  F. Barlat,et al.  A comparison of the mechanical behaviour of an AA1050 and a low carbon steel deformed upon strain reversal , 2005 .

[4]  F. Barlat,et al.  Artificial aging and shear deformation behaviour of 6022 aluminium alloy , 2004 .

[5]  L. Kubin,et al.  Non linear phenomena in materials science , 1988 .

[6]  F. Barlat,et al.  Effect of texture and microstructure on strain hardening anisotropy for aluminum deformed in uniaxial tension and simple shear , 2003 .

[7]  E. F. Rauch,et al.  Effects of metal characteristics and experimental conditions on dislocation self-organization , 2004 .

[8]  I. Beyerlein,et al.  Application of a substructure-based hardening model to copper under loading path changes , 2004 .

[9]  Amit K. Ghosh.  A physically-based constitutive model for metal deformation , 1980 .

[10]  U. F. Kocks.  Laws for Work-Hardening and Low-Temperature Creep , 1976 .

[11]  E. Rauch,et al.  Textural vs structural plastic instabilities in sheet metal forming , 1999 .

[12]  Cristian Teodosiu,et al.  Work-hardening behavior of mild steel under stress reversal at large strains , 1992 .

[13]  S. Karashima,et al.  Stagnation of Strain Hardening During Reversed Straining of Prestrained Aluminium, Copper and Iron , 1985 .

[14]  Frédéric Barlat,et al.  Hardening behavior and structural evolution upon strain reversal of aluminum alloys , 2002 .

[15]  Yuri Estrin,et al.  2 – Dislocation-Density–Related Constitutive Modeling , 1996 .

[16]  B. Peeters,et al.  A crystal plasticity based work-hardening/softening model for b.c.c. metals under changing strain paths , 2000 .

[17]  E. Aernoudt,et al.  Directional strain softening in ferritic steel , 1987 .

[18]  S. Karashima,et al.  Deformation behaviour and dislocation structures upon stress reversal in polycrystalline aluminium , 1975 .

[19]  Ricardo A. Lebensohn,et al.  A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals : application to zirconium alloys , 1993 .

[20]  U. F. Kocks,et al.  Kinetics of flow and strain-hardening☆ , 1981 .

[21]  A. Rollett,et al.  Large-strain Bauschinger effects in fcc metals and alloys , 1990 .

[22]  Hans Lilholt,et al.  Constitutive Relations and Their Physical Basis , 1987 .

[23]  S. R. MacEwen,et al.  Effect of stress reversals on the work hardening behaviour of polycrystalline copper , 1986 .

[24]  K. Krausz,et al.  Unified constitutive laws of plastic deformation , 1996 .

[25]  E. Rauch.  The stresses and work hardening rates of mild steel with different dislocation patterns , 1997 .