multicrystalline materials analysis based on their microstructure with emphasis on predicting forming limit diagrams

Phenomenological methods are more diagnostic tools than a predictor, so multi-crystalline materialapproaches based on their microstructures have been proposed during the last years. the purpose of this researchis to review methods taking into account the effect of microstructures and texture deformation on predicting thebehavior of sheet metals. these methods can be categorized into six general groups: taylor-type models, crystalplasticity finite element methods, strain gradient methods, methods that consider dislocations, self-consistentmethods, methods based on fast fourier transform. this paper attempts to explain and compare these methods thathave been used to forecasting forming limits or stress-strain curves.