Dynamic plasticity: Macroscopic and microscopic aspects

Abstract A brief account is given of theoretical treatments of plastic deformation based on considering the material as a continuum or as a crystalline solid in which flow occurs by the motion of dislocations. Theoretical and experimental work on stress-wave propagation in rate-independent and rate-dependent materials is then discussed. The available experimental methods for the study of strain-rate effects are described, and results are given for a variety of metals and alloys tested at strain rates covering some eight orders of magnitude. These results are discussed in terms of some of the more important rate-controlling mechanisms. Finally, attention is drawn to several important practical problems in which rate-dependent mechanical behaviour is significant, and suggestions are made concerning areas in which further studies are desirable.

[1]  D. S. Wood,et al.  Machine for Producing Square Torsion Pulses of Microsecond Duration , 1964 .

[2]  R. Davies A critical study of the Hopkinson pressure bar , 1948, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[3]  J. Harding The yield behaviour of pure polycrystalline copper under repeated tensile impact loading , 1971 .

[4]  G I Taylor,et al.  JAMES FORREST LECTURE 1946. THE TESTING OF MATERIALS AT HIGH RATES OF LOADING. , 1946 .

[5]  H. Pugh,et al.  Velocity of Torsional Waves in Metals Stressed Statically into the Plastic Range , 1968 .

[6]  J. D. Campbell,et al.  ON THE THEORY OF TRANSIENT TORSIONAL WAVE PROPAGATION IN A CIRCULAR CYLINDER , 1972 .

[7]  J. Klepaczko Strain rate history effects for polycrystalline aluminium and theory of intersections , 1968 .

[8]  E. Schmid,et al.  Ist die Gleitreibung vom Druck normal zu den Gleitflächen abhängig? , 1923 .

[9]  S. C. Hunter,et al.  The Dynamic Compression Testing of Solids by the Method of the Split Hopkinson Pressure Bar , 1963 .

[10]  J. Duffy,et al.  On the Use of a Torsional Split Hopkinson Bar to Study Rate Effects in 1100-0 Aluminum , 1971 .

[11]  S. Bodner,et al.  Experimental and Theoretical Investigation of the Plastic Deformation of Cantilever Beams Subjected to Impulsive Loading , 1962 .

[12]  L. M. Yeakley,et al.  High strain-rate testing: Tension and compression , 1968 .

[13]  J. Rice On the Structure of Stress-Strain Relations for Time-Dependent Plastic Deformation in Metals , 1970 .

[14]  J. W. Edington The influence of strain rate on the mechanical properties and dislocation substructure in deformed copper single crystals , 1969 .

[15]  B. Rawlings Energy absorption of dynamically and statically tested mild steel beams under conditions of gross deformation , 1967 .

[16]  K. J. Marsh,et al.  The effect of grain size on the delayed yielding of mild steel , 1962 .

[17]  J. D. Campbell,et al.  The temperature and strain-rate dependence of the shear strength of mild steel , 1970 .

[18]  Peter P. Gillis,et al.  Dynamical Dislocation Theory of Crystal Plasticity. I. The Yield Stress , 1965 .

[19]  J. D. Campbell,et al.  Tensile Testing of Materials at Impact Rates of Strain , 1960 .

[20]  K. J. Marsh,et al.  The effect of strain rate on the post-yield flow of mild steel , 1963 .

[21]  J. Craggs The propagation of infinitesimal plane waves in elastic-plastic materials , 1957 .

[22]  D. F. Stein,et al.  Mobility of Edge Dislocations in Silicon‐Iron Crystals , 1960 .

[23]  L. E. Malvern,et al.  Compression-impact testing of aluminum at elevated temperatures , 1963 .

[24]  J. D. Campbell,et al.  The dynamic yielding of mild steel , 1953 .

[25]  J. D. Campbell,et al.  The behaviour of materials subjected to dynamic incremental shear loading , 1970 .

[26]  J. Lubliner A generalized theory of strain-rate-dependent plastic wave propagation in bars , 1964 .

[27]  J. D. Campbell,et al.  Testing of Materials at Medium rates of Strain , 1967 .

[28]  H. Herman Advances in materials research , 1967 .

[29]  F. Hauser,et al.  Techniques for measuring stress-strain relations at high strain rates , 1966 .

[30]  J. E. Dorn,et al.  Dislocation Damping in Aluminum at High Strain Rates , 1967 .

[31]  R. Hill,et al.  XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. , 1951 .

[32]  K. A. Rakhmatulin,et al.  Strength Under High Transient Loads , 1966 .

[33]  Pol Duwez,et al.  The Propagation of Plastic Deformation in Solids , 1950 .

[34]  Frithiof I. Niordson,et al.  A unit for testing materials at high strain rates , 1965 .

[35]  S. K. Samanta Dynamic deformation of aluminium and copper at elevated temperatures , 1971 .

[36]  G. T. Hahn,et al.  A model for yielding with special reference to the yield-point phenomena of iron and related bcc metals , 1962 .

[37]  J. Taylor Dislocation Dynamics and Dynamic Yielding , 1965 .

[38]  C. Yew,et al.  Strain-Rate Effects in the Propagation of Torsional Plastic Waves , 1966 .

[39]  J. E. Dorn,et al.  Plastic stress/strain-rate/temperature relations in H.C.P. Ag-Al under impact loading , 1964 .

[40]  T. L. Russell,et al.  The influence of grain size on the yield phenomenon in steel , 1961 .

[41]  F. Dušek Plastic deformation at high strain rates , 1970 .

[42]  A. Seeger,et al.  CXXXII. The generation of lattice defects by moving dislocations, and its application to the temperature dependence of the flow-stress of F.C.C. crystals , 1955 .

[43]  J. H. Hollomon,et al.  Effect of Strain Rate Upon Plastic Flow of Steel , 1944 .

[44]  U. S. Lindholm Some experiments with the split hopkinson pressure bar , 1964 .

[45]  J. Lewis,et al.  The development and use of a torsional Hopkinson-bar apparatus , 1972 .

[46]  J. Harding Tensile Impact Testing by a Magnetic Loading Technique , 1965 .

[47]  L. M. Yeakley,et al.  The deformation behavior of high purity polycrystalline iron and single crystal molybdenum as a function of strain rate at 300°k , 1966 .

[48]  M. H. Rice,et al.  Elastic‐Plastic Properties of Iron , 1963 .

[49]  A. Reuss,et al.  Berücksichtigung der elastischen Formänderung in der Plastizitätstheorie , 1930 .

[50]  C. K. H. Dharan,et al.  Determination of stress-strain characteristics at very high strain rates , 1970 .

[51]  S. Yoshida,et al.  Deformation of Polycrystalline Aluminium at High Strain Rates , 1966 .

[52]  Eric Ogilvie Hall,et al.  Yield Point Phenomena in Metals and Alloys , 1970 .

[53]  L. E. Malvern,et al.  Electromagnetic velocity-transducer studies of plastic waves in aluminum bars , 1969 .

[54]  W. Johnston,et al.  Dislocation Velocities, Dislocation Densities, and Plastic Flow in Lithium Fluoride Crystals , 1959 .

[55]  J. Bell Propagation of Large Amplitude Waves in Annealed Aluminum , 1960 .

[56]  S. J. Green,et al.  Compressive Strain-Rate Tests on Six Selected Materials at Strain Rates From 10−3 to 104 In/In/Sec , 1966 .

[57]  D. S. Wood,et al.  Mobility of Dislocations in Aluminum , 1969 .

[58]  D. S. Wood,et al.  Dislocation Mobility in Copper , 1967 .

[59]  R. Clifton,et al.  Plastic Waves of Combined Stresses Due to Longitudinal Impact of a Pretorqued Tube—Part 1: Experimental Results , 1970 .

[60]  J. E. Dorn,et al.  Dislocation damping in zinc single crystals , 1967 .

[61]  J. Klepaczko The strain rate behavior of iron in pure shear , 1969 .

[62]  W. E. Jahsman,et al.  Reexamination of the Kolsky Technique for Measuring Dynamic Material Behavior , 1971 .

[63]  R. Clifton Elastic-Plastic Boundaries in Combined Longitudinal and Torsional Plastic Wave Propagation , 1968 .

[64]  E. A. Ripperger,et al.  Strain rate effects in cold worked high-purity Aluminium , 1966 .

[65]  B. Hopkinson A method of measuring the pressure produced in the detonation of high explosives or by the impact of bullets , 1914 .

[66]  R. Hill The mathematical theory of plasticity , 1950 .

[67]  J. D. Campbell,et al.  The effect of strain rate and temperature on the yield and flow of polycrystalline niobium and molybdenum , 1972 .