Numerical investigation of dynamic shear bands in inelastic solids as a problem of mesomechanics
The main objective of the present paper is to discuss very efficient procedure of the numerical investigation of the propagation of shear band in inelastic solids generated by impact-loaded adiabatic processes. This procedure of investigation is based on utilization the finite element method and ABAQUS system for regularized thermo-elasto-viscoplastic constitutive model of damaged material. A general constitutive model of thermo-elasto-viscoplastic polycrystalline solids with a finite set of internal state variables is used. The set of internal state variables is restricted to only one scalar, namely equivalent inelastic deformation. The equivalent inelastic deformation can describe the dissipation effects generated by viscoplastic flow phenomena.
As a numerical example we consider dynamic shear band propagation in an asymmetrically impact-loaded prenotched thin plate. The impact loading is simulated by a velocity boundary condition, which are the results of dynamic contact problem. The separation of the projectile from the specimen, resulting from wave reflections within the projectile and the specimen, occurs in the phenomenon.
A thin shear band region of finite width which undergoes significant deformation and temperature rise has been determined. Shear band advance, shear band velocity and the development of the temperature field as a function of time have been determined. Qualitative comparison of numerical results with experimental observation data has been presented. The numerical results obtained have proven the usefulness of the thermo-elasto-viscoplastic theory in the investigation of dynamic shear band propagations.
KeywordsShear Band Adiabatic Shear Band Velocity Boundary Condition Internal State Variable Polycrystalline Solid
- 1.Chi YC, Lee SH, Cho K and Duffy J (1988). The effects of tempering and test temperatures on the dynamic fracture initiation behaviour of on AISI 4340 VAR steel. Brown University Technical Report, August Google Scholar
- 2.Cho K, Chi YC and Duffy J (1988). Microscopic observations of adiabatic shear bands in three different steels. Brown University Report No DAAL03-88-K-0015/3, September Google Scholar
- 4.Dornowski W, Perzyna P (2005) Numerical investigation of localized fracture phenomena in inelastic solidsGoogle Scholar
- 6.Duszek-Perzyna MK, Perzyna P (1994) Analysis of the influence of different effects on criteria for adiabatic shear band localization in inelastic solids. In: Batra RC, Zbib HM (eds) Proceedings material instabilities: theory and applications, ASME Congress, Chicago, 9–11 November 1994, AMD-vol 183/MD-vol 50, ASME, New York, pp 59–85Google Scholar
- 7.Glema A, Kakol W and Łodygowski T (1997). Numerical modelling of adiabatic shear band formation in a twisting test. Eng Trans 45(3–4): 419–431 Google Scholar
- 8.Glema A, Łodygowski T, Perzyna P (2004) Numerical investigation of dynamic shear bands in inelastic solids as a problem of mesomechanisc. International congress of theoretical and applied mechanics, 15–21 August 2004, Warsaw, Poland, 240 (+ CDROM)Google Scholar
- 9.Glema A, Łodygowski T, Perzyna P (2004) Estimation of shear band propagation velocity in metal specimens and failure phenomenon under impact loading VI world congress on computational mechanics in conjunction with APCOM’04, 5–10 September 2004, Beijing, China, Computational Mechanics (Abstracts), Tsinghua University Press & Springer, Heidelberg, 272 (+ CDROM)Google Scholar
- 16.Perzyna P (1966). Fundamental problems in viscoplasticity. Adv Appl Mech 9: 343–377 Google Scholar
- 20.Perzyna P (1995) Interactions of elastic-viscoplastic waves and localization phenomena in solids. In: Wegner JL, Norwood FR (eds) Proceedings IUTAM Symposium on Nonlinear Waves in Solids, August 15–20, 1993, Victoria, Canada, ASME 1995, pp 114–121Google Scholar
- 22.Perzyna P (2001). Thermo-elasto-viscoplasticity and damage. In: Lemaitre, J (eds) Handbook of Materials Behaviour Models, pp 821–834. Academic, New York Google Scholar