Considerably simplified models of macroscopic material behavior, such as
the idealization for metals of elastic-time independent plastic response
with a yield (onset) criterion, have served the engineering profession
well for many years. They are still basic to the design and analysis of
most structural applications. In the need to use materials more
effectively, there are circumstances where those traditional models are
not adequate, and constitutive laws that are more physically realistic
have to be employed. This is especially relevant to conditions where the
inherent time dependence of inelastic deformations, referred to as
"viscoplasticity", is pronounced such as at elevated temperatures and
for high strain rates. Unified theories of elastic-viscoplastic material
behavior, which are primarily applicable for metals and metallic alloys,
combine all aspects of inelastic response into a set of time dependent
equations with a single inelastic strain rate variable. For such
theories, creep under constant stress, stress relaxation under constant
strain, and stress-strain relations at constant rates are each special
cases of a general formulation. Those equations mayor may not include a
yield criterion, but models which do not separate a fully elastic region
from the overall response could be considered "unified" in a more
general sense. The theories have reached a level of development and
maturity where they are being used in a number of sophisticated
engineering applications. However, they have not yet become a standard
method of material representation for general engineering practice.