Elastic – Plastic Solids

  • George J. Dvorak
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 186)


This chapter provides a short introduction to constitutive relations for materials that exhibit incremental elastic-plastic deformation in response to an applied loading path which extends beyond their initial yield surface. In a certain sense, it is analogous to  Chap. 2 on Anisotropic Elastic Solids, with which it shares the results pertaining to isotropic elasticity. Moreover, the instantaneous tangential stiffness or compliance matrices may have as many as 21 nonzero coefficients, as in triclinic elastic materials. In preparation  Chap. 12, attention is focused on those parts of incremental plasticity theory that are useful in modeling of metal matrix composites.


Plastic Strain Yield Surface Strain Increment Flow Rule Kinematic Hardening 
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Copyright information

© Springer Science+Business Media B.V. 2013

Authors and Affiliations

  • George J. Dvorak
    • 1
  1. 1.Mechanical, Aeronautical and Nuclear EngineeringRensselaer Polytechnic InstituteTroyUSA

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