ABSTRACT
CHAPTER 9
PHENOMENOLOGICAL PLASTICITY
This chapter contains a detailed analysis of phenomenological constitutive
equations for large deformation elastoplasticity. First eight sections are de-
voted to rate-independent models of isothermal elastoplastic behavior. For-
mulations in stress and strain space are both given. Dierent hardening
models of metal plasticity are discussed, including isotropic, kinematic, com-
bined and multisurface hardening models. Constitutive equations accounting
for the yield vertices are also included. Pressure-dependent and nonassocia-
tive ow rules are then analyzed, with an application to rock mechanics.
Constitutive theories of thermoplasticity, rate-dependent plasticity and vis-
coplasticity are considered in Sections 9.9 and 9.10. The nal section of the
chapter deals with the deformation theory of plasticity.
