Evaluation of the inelastic heat fraction in the context of microstructure-supported dynamic plasticity modelling

Abstract Under dynamic adiabatic conditions, the plastic work is known to dissipate into heat and induce thermal softening. From both theoretical and numerical viewpoints, the proportion of effectively dissipated plastic work is commonly evaluated using the so-called Taylor–Quinney coefficient usually assumed to be a constant empirical value. On the other hand, experimental investigations have shown its dependence on strain, strain rate and temperature. A methodology combining dislocation theory in the domain of thermally activated inelastic deformation mechanisms and the internal variable approach applied to thermo-elastic/viscoplastic behaviour is developed, allowing for obtaining a physically based inelastic heat fraction expression. The latter involves explicitly the combined influence of the parameters mentioned above and the highly evolving nature of the inelastic heat fraction.

[1]  W. Oliferuk,et al.  Experimental analysis of energy storage rate components during tensile deformation of polycrystals , 2004 .

[2]  U. F. Kocks,et al.  A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable , 1988 .

[3]  A. Chrysochoos,et al.  Plastic and dissipated work and stored energy , 1989 .

[4]  J. Klepaczko,et al.  A numerical study of adiabatic shear banding in mild steel by dislocation mechanics based constitutive relations , 1996 .

[5]  Sia Nemat-Nasser,et al.  Flow stress of f.c.c. polycrystals with application to OFHC Cu , 1998 .

[6]  George Z. Voyiadjis,et al.  Microstructural based models for bcc and fcc metals with temperature and strain rate dependency , 2005 .

[7]  Patrice Longère,et al.  Adiabatic shear banding induced degradation in a thermo-elastic/viscoplastic material under dynamic loading , 2005 .

[8]  J. Meixner,et al.  Processes in simple thermodynamic materials , 1969 .

[9]  G. Gary,et al.  Thermomechanical properties of polycarbonate under dynamic loading , 2003 .

[10]  R. Armstrong,et al.  Dislocation-mechanics-based constitutive relations for material dynamics calculations , 1987 .

[11]  A. Dragon,et al.  Modelling adiabatic shear banding via damage mechanics approach , 2003 .

[12]  George Z. Voyiadjis,et al.  A coupled temperature and strain rate dependent yield function for dynamic deformations of bcc metals , 2006 .

[13]  Geoffrey Ingram Taylor,et al.  The Latent Energy Remaining in a Metal after Cold Working , 1934 .

[14]  A. Rosakis,et al.  A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals , 2000 .

[15]  R. Williams The stored energy of copper deformed at 24°C☆ , 1965 .

[16]  P. Perzyna Fundamental Problems in Viscoplasticity , 1966 .

[17]  James J. Mason,et al.  On the strain and strain rate dependence of the fraction of plastic work converted to heat: an experimental study using high speed infrared detectors and the Kolsky bar☆ , 1992 .

[18]  Sia Nemat-Nasser,et al.  Determination of temperature rise during high strain rate deformation , 1998 .

[19]  A. L. Titchener,et al.  The Stored Energy of Cold Work , 1973 .

[20]  R. Recht Catastrophic Thermoplastic Shear , 1964 .

[21]  M. Gurtin,et al.  Thermodynamics with Internal State Variables , 1967 .

[22]  G. Gary,et al.  Mechanical behaviour and temperature measurement during dynamic deformation on split Hopkinson bar of 304L stainless steel and 5754 aluminium alloy , 2006 .