Dynamic localized fracture in inelastic solids

Studies in Applied Mechanics

Volumn 46, Issue C, 1998, Pages 183-202

  Perzyna, Piotr ^a  

^a INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957062521     PISSN: 09225382     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0922-5382(98)80042-1     Document Type: Article

References (37)

1. Batra R.C., and Zhang X. On the propagation of a shear band in a steel tube. J. Engng. Materials and Technology 116 (1994) 155-161
2. Chakrabarti A.K., and Spretnak J.W. Instability of plastic flow in the direction of pure shear. Metallurgical Transactions 6A (1975) 733-747
3. Cho K., Chi Y.C., and Duffy J. Microscopic observations of adiabatic shear bands in three different steels. Brown University Report (1988)
4. Curran D.R., Seaman L., and Shockey D.A. Dynamic failure of solids. Physics Reports 147 (1987) 253-388
5. Dautray R., and Lions J.L. Evolution Problems II. Mathematical Analysis and Numerical Methods for Science and Technology Vol. 6 (1993), Springer, Berlin
6. AMD-Vol. 183/MD-Vol.50. Duszek-Perzyna M.K., and Perzyna P. Analysis of the influence of different effects on criteria for adiabatic shear band localization in inelastic solids. Material Instabilities: Theory and Applications (1994), ASME 59-85
7. Giovanola J.H. Adiabatic shear banding under pure shear loading. Mechanics of Materials 7 (1988) 59-87
8. Proc. Glema A., Lodygowski R., and Perzyna P. Effects of microdamage in plastic strain localization. XIII Polish Conference on Computer Methods in Mechanics. Poznań, Poland, 5-8 May, 1997 (1997) 451-458
9. Hartley K.A., Duffy J., and Hawley R.H. Measurement of the temperature profile during shear band formulation in steels deforming at high strain rates. J. Mech. Phys. Solids 35 (1987) 283-301
10. Oxford. Ionescu I.R., and Sofonea M. Functional and Numerical Methods in Viscoplasticity (1993)
11. Johnson J.N. Dynamic fracture and spallation in ductile solids. J. Appl. Phys. 52 (1981) 2812-2825
12. Lodygowski T. On avoiding of spurious mesh sensitivity in numerical analysis of plastic strain localization. Computer Assisted Mechanics and Engineering Sciences 2 (1995) 231-248
13. Lodygowski T., Lengnick M., Perzyna P., and Stein E. Viscoplastic numerical analysis of dynamic plastic strain localization for a ductile material. Archives of Mechanics 46 (1994) 1-25
14. (in print). Lodygowski T., and Perzyna P. Numerical modelling of localized fracture of inelastic solids in dynamic loading processes. Int. J. Num. Meth. Engng. (1996)
15. (in print). Lodygowski T., and Perzyna P. Localized fracture of inelastic polycrystalline solids under dynamic loading processes. International J. Damage Mechanics (1997)
16. Marchand A., Cho K., and Duffy J. The formation of adiabatic shear bands in an AISI 1018 cold-rolled steel. Brown University Report (1988)
17. Marchand A., and Duffy J. An experimental study of the formation process of adiabatic shear bands in a structural steel. J. Mech. Phys. Solids 36 (1988) 251-283
18. Marsden J.E., and Hughes T.J.R. Mathematical Foundations of Elasticity (1983), Prentice-Hall, Englewood Cliffs, New York
19. Mason J.J., Rosakis A.J., and Ravichandran R. 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. Mechanics of Materials 17 (1994) 135-145
20. Nemes J.A., Eftis J., and Randies P.W. Viscoplastic constitutive modelling of high strain-rate deformation, material damage and spall fracture. J. Appl. mech. 57 (1990) 282-291
21. Perzyna P. The constitutive equations for rate sensitive plastic materials. Quart. Appl. Math. 20 (1963) 321-332
22. Perzyna P. Thermodynamic theory of viscoplasticity. Advances in Applied Mechanics 11 (1971) 313-354
23. Perzyna P. Constitutive modelling of dissipative solids for postcritical behaviour and fracture. ASME J. Eng. Materials and Technology 106 (1984) 410-419
24. Perzyna P. Internal state variable description of dynamic fracture of ductile solids. Int. J. Solids Structures 22 (1986) 797-818
25. Perzyna P. Adiabatic shear band localization fracture of solids in dynamic loading processes. In: Harding J. (Ed). Proc. of Int. Conference on Mechanical and Physical Behaviour of Materials under Dynamic Loading. Oxford, September 26-30, 1994 (1994), Les Editions de Physique Le Ulis 441-446
26. Perzyna P. Instability phenomena and adiabatic shear band localization in thermoplastic flow processes. Acta Mechanica 106 (1994) 173-205
27. Perzyna P. Interactions of elastic-viscoplastic waves and localization phenomena in solids. In: Wegner J.L., and Norwood E.R. (Eds). IUTAM Symposium on Nonlinear Waves in Solids. August 15-20, 1993, Victoria, Canada (1995), ASME 114-121
28. Perzyna P., and Drabik A. Description of micro damage process by porosity parameter for nonlinear viscoplasticity. Arch. Mechanics 41 (1989) 895-908
29. (submitted for publication). Perzyna P., and Drabik A. Micro-damage mechanism in adiabatic processes. Int. J. Plasticity (1997)
30. Perzyna P., and Duszek Perzyna M.K. Phenomenological modelling of adiabatic shear band localization fracture of solids in dynamic loading processes. In: Aliabadi M.H., Carpinteri A., Kalisky S., and Cartwright D.J. (Eds). Localized Damage III; Computer Aided Assessment and Control (1994), Computational Mechanics Publications, Southampton 579-588
31. Richtmyer R.D. Principles of Advance Mathematical Physics Vol. I (1978), Springer, New York
32. Richtmyer R.D., and Morton K.W. Difference Methods for Initial-Value Problems (1967), John Wiley, New York
33. Shima S., and Oyane M. Plasticity for porous solids. Int. J. Mech. Sci. 18 (1976) 285-291
34. Shockey D.A., Seaman L., and Curran D.R. The rnicrostatistical fracture mechanics approach to dynamic fracture problem. Int. J. Fracture 27 (1985) 145-157
35. Strang G., and Fix G.J. An Analysis of the Finite Element Method (1973), Prentice-Hall, Englewood Cliffs
36. Taylor G.I., and Quinney H. The latent energy remaining in a metal after cold working. Proc. R. Soc. Lond. A143 (1934) 307-326
37. Zbib H.M., and Jurban J.S. Dynamic shear banding: A three-dimensional analysis. Int. J. Plasticity 8 (1992) 619-641