Structural Engineering and Mechanics

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Prediction of the dynamic flow stress

  • Alves, Marcilio (Department of Mechatronics and Mechanical Systems Engineering, University of Sao Paulo)
  • Received : 2004.04.18
  • Accepted : 2005.04.22
  • Published : 2005.07.30
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Abstract

This article explores a constitutive equation that is able to correlate stress, strain and strain rate. In order to show the advantages of the constitutive equation here proposed and how its material parameters are obtained, data extracted from the literature, for materials as different as polymers and metallic alloys, are used. Finite element simulation of the impact behaviour of a beam is presented to highlight the care one needs to exercise when using the more traditional Cowper-Symonds equation. The present constitutive equation has shown to be accurate for a wide range of strains, stresses and strain rates.

Keywords

References

  1. Alves, M. (1996), 'Damage mechanics applied to structural impact', Ph.D. Thesis, University of Liverpool
  2. Alves, M. (2000), 'Material constitutive law for large strains and strain rates', J. Eng. Mech., 126(2),215-218 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:2(215)
  3. Alves, M. and Jones, N. (2002a), 'Impact failure of beams using Damage Mechanics: Part I - Analytical model', Int. J. Impact Eng., 27(8), 837-861 https://doi.org/10.1016/S0734-743X(02)00017-9
  4. Alves, M. and Jones, N. (2002b), 'Impact failure of beams using Damage Mechanics: Part II - Application', Int. J. Impact Eng., 27(8), 863-890 https://doi.org/10.1016/S0734-743X(02)00018-0
  5. Jones, N. (1989), Structural Impact, Cambridge University Press, Cambridge
  6. Knauss, W. (2000), 'Perspectives in experimental solid mechanics', Int. J. Solids Struct., 251-266
  7. Lee, W, Shyu, J. and Chiou, S. (2000), 'Effect of strain rate on impact response and dislocation substructure of 6061-T6 aluminium alloy', Scripta Mater., 51-56
  8. Lee, W.-S. and Lin, C.-F. (2001), 'Impact properties and microstructure evolution of 3041 stainless steel', Mater. Sci. Eng., 124-135
  9. Nemat-Nasser, S. and Guo, W. (2000), 'High strain rate response of commercially pure vanadium', Mechanics of Materials, 243-260
  10. Nemat-Nasser, S., Guo, W. and Cheng, J. (1999), 'Mechanical properties and deformation mechanisms of a comercially pure titanium', Acta Materialia, 3705-3720

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  2. Scaling of structures subject to impact loads when using a power law constitutive equation vol.46, pp.18-19, 2009, https://doi.org/10.1016/j.ijsolstr.2009.05.014
  3. Dynamic Elastic-Plastic Buckling of Structural Elements: A Review vol.61, pp.4, 2008, https://doi.org/10.1115/1.2939481
  4. Inelastic response of structures due to large impact and blast loadings vol.45, pp.6, 2010, https://doi.org/10.1243/03093247JSA611