Dear Ms Bayat i think the following links can help you:
http://esag.harvard.edu/rice/020_RiceTracey_DuctileVoid_JMPS69.pdf http://ijd.sagepub.com/content/19/1/75.abstract http://www.sciencedirect.com/science/article/pii/S0013794404001869 http://www.scirp.org/journal/PaperDownload.aspx?paperID=24720 procedure to calibrate the ductile damage material model in Abaqus using tensile test data. It is described in the following paper: http://www.sciencedirect.com/science/article/pii/S0143974X13001314
(if you have any problem to download this papers, please contact me.)