The elasto-viscoplastic constitutive equation considering damage is formulated, based on the concept of continuum damage mechanics. It employs the viscoplastic strain, which was originally given by Perzyna and extended by Murakami to consider the effect of damage. The unified form of damage evolution equation given by Lemaitre is extended to consider the effect of damage type and strain rate. The constitutive modeling is identified, based on static/dynamic tensile tests and fatigue tests for steel (SM490A) and aluminum (2219-T87). The identified models are used to predict the static/dynamic, tensile behaviors of pre-strained steel and pre-fatigued aluminum. The predicted results have agreed well with the corresponding experimental results.
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