Date of Award

Spring 2022

Project Type


Program or Major

Mechanical Engineering

Degree Name

Master of Science

First Advisor

Marko Knezevic

Second Advisor

Igor Tsukrov

Third Advisor

Todd Gross


Numerical modeling of sheet metal forming is of growing interest for industry and academia. Metal forming operations often involve non-monotonic deformation paths with frequent unloading. This research explores the use of elasto-plastic self-consistent (EPSC) modeling in predicting the monotonic and load reversal deformation of aluminum alloys, and dual-phase steels. The EPSC model considers anisotropic elasticity, dislocation density-hardening, and intra granular slip system-level backstress fields in addition to accounting for inter granular stress fields; the detailed contribution of this helps in properly predicting the phenomena such as unloading non-linearity, the Bauschinger effect (BE), and changes in hardening rates during reversals. In this study the EPSC model is also linked with Finite element analysis software ABAQUS in predicting the spring back profiles in hat- shaped draw bending for various dualphase steels namely DP 780, DP 980, and DP 1180 which have various strengths based on the percentage of martensite and ferrite content.