Computational Mechanics

, 41:219 | Cite as

Numerical investigation of dynamic shear bands in inelastic solids as a problem of mesomechanics

Original Paper


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.


Shear Band Adiabatic Shear Band Velocity Boundary Condition Internal State Variable Polycrystalline Solid 
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Copyright information

© Springer Verlag 2007

Authors and Affiliations

  1. 1.Institute of Structural EngineeringPoznań University of TechnologyPoznańPoland
  2. 2.Institute of Fundamental Technological ResearchPolish Academy of SciencesWarsawPoland

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