• Sol R. Bodner
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 47)


At this stage, the B-P constitutive theory is well developed and provides a set of equations that adequately represents the main features of rate dependent inelastic behavior of metals and alloys over an extensive range of strain rates and temperatures. Relatively few material parameters appear in the equations and these could generally be related to specific response characteristics which indicates a satisfactory physical basis of the governing equations. As a consequence, the parameters have physical interpretations and in most cases their values can be obtained from a limited band of conventional test data such as stress-strain curves at constant strain rates. Techniques for parameter identification from such test data have been devised. The equations have been incorporated into finite element and finite difference computer programs with applications for a variety of loading and environmental conditions. They appear to be suitable for characterizing components of composite materials for which purpose the lack of a yield criterion and loading/unloading conditions makes them particularly suitable. Those properties also make the equations useful in problems of dynamic fracture mechanics and in formulating failure criteria for ductile materials. The emphasis on the use of load history dependent state variables in the basic equations with suitable evolution equations for those variables permits applications to problems involving complicated thermo-mechanical loading histories and to stability considerations.


Constant Strain Rate Constitutive Theory Back Stress Stability Consideration Dynamic Fracture Mechanic 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Sol R. Bodner
    • 1
  1. 1.Technion-Israel Institute of TechnologyHaifaIsrael

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