Transient behavior of a stress-strain curve within Cottrell-Stokes law

The transient behavior of stress-strain curves in view of the Cottrell-Stokes law was examined by employing stress-strain constitutive relationships within Gilman-Johnston and Alexander-Haasen models. Focusing on the two traditional theories, the constitutive equation of stress-displacement relation was formulated. In both models, two kinds of expression for the internal stress were assumed such that temperature dependencies of dislocation mobility and multiplication process were revealed. The interaction between mobile and immobile dislocations to play an essential role to observe the Cottrell-Stokes law.