Dynamic Shear Failure of Materials

Chapter

Abstract

Dynamic shear failure is addressed from the experimental point of view, presenting first the shear compression specimen (SCS) that is used to characterize the mechanical properties of various materials subjected to dynamic shear loading. Results are reported for various metallic alloys, addressing the stress–strain curve itself and the related issue of thermomechanical coupling. Specific examples are shown such as the isotropy of properties for swaged heavy W-base alloys, phase transformation under dynamic shear in pure iron, characterization of the thermomechanical coupling in pure tantalum, and finally, the applicability of the digital image correlation technique to the large-strain behavior of shape memory nickel–titanium alloy. The second part of this chapter concentrates on various aspects of adiabatic shear failure. Several fundamental questions are addressed such as a new energetic criterion for the onset of adiabatic shear, the sensitivity of this failure mechanism to hydrostatic pressure, and stress concentration effects. An example of the pressure–strain rate-related brittle to ductile transition is presented for the case of commercial polymethylmethacrylate (PMMA), illustrating dynamic shear failure in a nominally brittle material. Finally, the role of the adiabatic temperature elevation in the sheared gauge section is addressed through a simultaneous monitoring of the stress, strain, and temperature in the specimen. The results show a very moderate temperature rise in the investigated materials prior to localization, and also allow for the identification of three distinct stages of the deformation process based on the thermal recordings. The chapter ends by a summary and discussion of the main points presented.

Keywords

Dynamic shear Adiabatic shear band Failure Shear compression specimen 

References

  1. Bai Y, Dodd B (1992) Shear localization: Occurrence, theories, and applications. Pergamon Press, Oxford, UK.Google Scholar
  2. Bever M, Holt D, Titchener A (1973) The stored energy of cold work. Pergamon Press, London.Google Scholar
  3. Boley BA, Weiner JH (1960) Theory of thermal stresses. Wiley and Sons, New York, NY.MATHGoogle Scholar
  4. Chen W, Ravichandran G (1996) Static and dynamic compressive behavior of aluminum nitride under moderate confinement. J Am Ceram Soc 79(3):579–584.CrossRefGoogle Scholar
  5. Chen W, Ravichandran G (1997) Dynamic compressive failure of glass ceramic under lateral confinement. J Mech Phys Solids 45(8):1303–1328.CrossRefGoogle Scholar
  6. Chen W, Ravichandran G (2000) Failure mode transition in ceramics under dynamic multiaxial compression. Int J Fract 101(1–2):141–159.CrossRefGoogle Scholar
  7. Cheng CS (1999) Material characterization at high strain rates of plastic deformation: Experiments and numerical modeling. The Ohio State University.Google Scholar
  8. Chu TC, Ranson WF, Sutton MA, Peters WH (1985) Applications of digital-image correlation techniques to experimental mechanics. Exp Mech 25(3):232–244.CrossRefGoogle Scholar
  9. Clifton RJ, Klopp RW (1986) Metals handbook: Mechanical testing. ASTM, Metals Park, OH.Google Scholar
  10. Daly S, Rittel D, Ravichandran G, Bhattacharya K (2009) Large deformation of nitinol under shear dominant loading. Exp Mech 49(2):225–233.CrossRefGoogle Scholar
  11. Dinzart F, Fressengeas C, Molinari A (1994) The catastrophic development of shear localization in thermoviscoplastic materials. J de Phys IV 4(C8):435–440.Google Scholar
  12. Dorogoy A, Rittel D (2005a) Numerical validation of the shear compression specimen (SCS). Part I: Quasi-static large strain testing. Exp Mech 45(2):167–177.Google Scholar
  13. Dorogoy A, Rittel D (2005b) Numerical validation of the shear compression specimen (SCS). Part II: Dynamic large strain testing. Exp Mech 45(2):178–185.Google Scholar
  14. Dorogoy A, Rittel D (2006) A numerical study of the applicability of the shear compression specimen to parabolic hardening materials. Exp Mech 46, 355–366.CrossRefGoogle Scholar
  15. Duffy J, Chi Y (1992) On the measurement of local strain and temperature during the formation of adiabatic shear bands. Matls Sci Eng A 157(2):195–210.CrossRefGoogle Scholar
  16. Gilat A (2000) Torsional Kolsky bar testing. Mechanical testing. ASM, Materials Park, OH, pp 505–515.Google Scholar
  17. Hanina E, Rittel D, Rosenberg Z (2007) Pressure sensitivity of adiabatic shear banding in metals. Appl Phys Lett 90(2):021915.CrossRefGoogle Scholar
  18. Hartley K, Duffy J, Hawley R (1985) The torsional Kolsky (split-Hopkinson) bar. Mechanical testing. ASM Metals Park, OH, pp 218–230.Google Scholar
  19. Hartley KA, Duffy J, Hawley RH (1987) Measurement of the temperature profile during shear band formation in mild steels deforming at high-strain rates. J Mech Phys Solids 35(3):283–301.CrossRefGoogle Scholar
  20. Hines JA, Vecchio KS (1997) Recrystallization kinetics within adiabatic shear bands. Acta Mater 45(2):635–649.CrossRefGoogle Scholar
  21. Hodowany J, Ravichandran G, Rosakis AJ, Rosakis P (2000) Partition of plastic work into heat and stored energy in metals. Exp Mech 40(2):113–123.CrossRefGoogle Scholar
  22. Kachanov LM (1974) Foundations of the theory of plasticity. Mir, Moscow.Google Scholar
  23. Kalthoff JF (1988) Shadow optical analysis of dynamic fracture. Optical Engng 27:835–840.Google Scholar
  24. Kapoor R, Nemat-Nasser S (1998) Determination of temperature rise during high strain rate deformation. Mech Mater 27, 1–12.CrossRefGoogle Scholar
  25. Liao SC, Duffy J (1998) Adiabatic shear band in a Ti-6Al-4V titanium alloy. J Mech Phys Solids 46(11):2201–2231.CrossRefGoogle Scholar
  26. Lu J, Ravichandran G, Johnson WL (2003) Deformation behavior of the Zr41.2Ti13.8Cu12. 5Ni10Be22.5 bulk metallic glass over a wide range of strain-rates and temperatures. Acta Mat 51(12):3429–3443.Google Scholar
  27. Ma Z, Ravi-Chandar K (2000) Confined compression: A stable homogeneous deformation for constitutive characterization. Exp Mech 40(1):38–45.CrossRefGoogle Scholar
  28. Marchand A, Duffy J (1988) An experimental study of the formation process of adiabatic shear bands in a structural steel. J Mech Phys Solids 36(3):251–283.CrossRefGoogle Scholar
  29. Medyanik S, Liu W, Li S (2007) On criteria for adiabatic shear band propagation. J Mech Phys Solids 55(7):1439–1461.MATHCrossRefMathSciNetGoogle Scholar
  30. Meyer L, Manwaring S (1986) Critical adiabatic shear strength of low alloy steel under compressive loading. In: Murr L, Staudhammer K, Meyers M (eds.) Metallurgical applications of shock-wave and high-strain-rate phenomena. Marcel Dekker, Inc., New York, pp 657–674.Google Scholar
  31. Meyers MA, Nesterenko VF, LaSalvia JC, Xu YB, Xue Q (2000) Observation and modeling of dynamic recrystallization in high-strain, high strain-rate deformation of metals. J Phys IV France Colloq C3 PR9:51–56.Google Scholar
  32. Molinari A, Clifton RJ (1987) Analytical characterization of the shear localization in thermoviscoplastic materials. J Applied Mech 54(4):806–812.MATHCrossRefGoogle Scholar
  33. Ostwaldt D, Klepaczko J, Klimanek (1997) Compression tests of polycrystalline alpha-iron up to high strains over a large range of strain rates. J Phys IV France Colloq C3 7:385–390.Google Scholar
  34. Padilla HA, Smith CD, Lambros J, Beaudoin AJ, Robertson IM (2007) Effects of deformation twinning on energy dissipation in high rate deformed zirconium. Metall Mater Transac A 38A(12):2916–2927.CrossRefGoogle Scholar
  35. Perez-Prado MT, Hines JA, Vecchio KS (2001) Microstructural evolution in adiabatic shear bands in Ta and Ta-W alloys. Acta Mater 49:2905–2917.CrossRefGoogle Scholar
  36. Rittel D (2000) A note of the dynamic failure of PMMA. Int J Fracture 106(2):L3–L8.CrossRefGoogle Scholar
  37. Rittel D (2006) Dynamic crack initiation toughness. In: Shukla A (ed.) Dynamic fracture mechanics. World Scientific, New Jersey, pp 69–103.CrossRefGoogle Scholar
  38. Rittel D, Bhattacharyya A, Poon B, Zhao J, Ravichandran G (2007) Thermomechanical characterization of pure polycrystalline tantalum. Matls Sci Engng A A447:65–70.CrossRefGoogle Scholar
  39. Rittel D, Brill A (2008) Dynamic flow and failure of confined polymethylmethacrylate. J Mech Phys Solids 56(4):1401–1416.CrossRefGoogle Scholar
  40. Rittel D, Hanina E, Ravichandran G (2008) A note on the direct determination of the confining pressure of cylindrical specimens, Exp Mech 48(3):375–377.CrossRefGoogle Scholar
  41. Rittel D, Lee S, Ravichandran G (2002) A shear compression specimen for large strain testing. Exp Mech 42(1):58–64.CrossRefGoogle Scholar
  42. Rittel D, Levin R, Dorogoy A (2004) On the isotropy of the dynamic mechanical and failure properties of swaged tungsten heavy alloys. Metall Mater Transac A 35A:3787–3379.CrossRefGoogle Scholar
  43. Rittel D, Ravichandran G, Venkert A (2006a) The mechanical response of pure iron at high strain rates under dominant shear. Matls Sc and Engng A A432:191–201.CrossRefGoogle Scholar
  44. Rittel D, Wang Z, Merzer M (2006b) Some experiments on adiabatic shear failure. J Physique France IV 134:835–838.CrossRefGoogle Scholar
  45. Rittel D, Wang ZG (2008) Thermo-mechanical aspects of adiabatic shear failure of AM50 and Ti6Al4V alloys. Mech Mater (in press).Google Scholar
  46. Rittel D, Wang ZG, Dorogoy A (2008b) Geometrical imperfection and adiabatic shear banding. Int J Impact Engng (in press).Google Scholar
  47. Rittel D, Wang ZG, Merzer M (2006c) Adiabatic shear failure and dynamic stored energy of cold work. Phys Rev Lett 96:075502.CrossRefGoogle Scholar
  48. Satapathy S, Bless S (2000) Deep punching PMMA. Exp Mech 40(1):31–37.CrossRefGoogle Scholar
  49. Tresca H 1879 Sur la fluidité et lécoulement des corps solides. Annales du Conservatoire des Arts et Métiers 4.Google Scholar
  50. Vural M, Rittel D, Ravichandran G (2003) Large strain mechanical behavior of 1018 cold rolled steel over a wide range of strain rates. Metall Mater Transac A 34A(12):2873–2885.CrossRefGoogle Scholar
  51. Weston G (1992) Flow stress of shock hardened remco iron over strain rates from 0.001 to 9000 s− 1. J Matls Sc Letters 11(20):1361–1363.Google Scholar
  52. Winter RE (1975) Adiabatic shear of titanium and polymethylmethacrylate Phil Mag 31(4):765–773.MathSciNetGoogle Scholar
  53. Wright T (2002) The physics and mathematics of adiabatic shear bands Cambridge University Press, Cambridge.Google Scholar
  54. Zener C, Hollomon JH (1944) Effect of strain rate upon plastic flow of steel J Applied Phys 15(1):22–32.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Faculty of Mechanical Engineering, TechnionHaifaIsrael

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