Experimental analysis of energy storage rate components during tensile deformation of polycrystals

Abstract The energy storage rate d e s /d w p ( e s is the stored energy, w p the work of plastic deformation) is a macroscopic quantity that is influenced by many microscopic mechanisms. At the initial stage of plastic deformation the dependence of d e s /d w p on the plastic strain e p has a maximum. It has been suggested that the maximum of d e s /d w p is connected with long-range stresses caused by the polycrystalline nature of the material. A polycrystalline specimen deforms plastically, non-uniformly on a micro-scale, each grain in a polycrystal deforms by a different amount depending on its orientation and the constraints imposed thereon by its neighbours. In order to verify the hypothesis, two groups of specimens were prepared in which the impact of long-range internal micro-stresses on the energy storage rate differs. This requirement was achieved using specimens pre-strained in different directions. The dependence of the energy storage rate on the plastic strain for the pre-strained specimens was experimentally found. The results obtained seem to confirm the hypothesis.

[1]  W. Oliferuk,et al.  Energy storage during the tensile deformation of Armco iron and austenitic steel , 1985 .

[2]  M. Ashby The deformation of plastically non-homogeneous materials , 1970 .

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

[4]  T. Ungár,et al.  An X-ray method for the determination of stored energies in texture components of deformed metals: Application to cold worked ultra high purity iron , 2000 .

[5]  L. Badea,et al.  A new theory of the stored energy in elasto-plasticity and the torsion test , 1997 .

[6]  H. Ockendon,et al.  A model for fully formed shear bands , 1992 .

[7]  A. Wolfenden The energy stored in polycrystalline copper deformed at room temperature , 1971 .

[8]  A. Korbel,et al.  Mode of deformation and the rate of energy storage during uniaxial tensile deformation of austenitic steel , 1996 .

[9]  A. Needleman,et al.  Analysis of a brittle-ductile transition under dynamic shear loading , 1995 .

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

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

[12]  W. Świątnicki,et al.  Effect of the grain size on the rate of energy storage during the tensile deformation of an austenitic steel , 1995 .

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

[14]  A. Zehnder A model for the heating due to plastic work , 1991 .

[15]  J. Duffy,et al.  On critical conditions for shear band formation at high strain rates , 1984 .

[16]  Ted Belytschko,et al.  On the crucial role of imperfections in quasi-static viscoplastic solutions , 1991 .

[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 .