Comparison of different implementation algorithms for HiSS constitutive models in fem

Relative accuracy\ stability and e.ciency of four popular algorithms to implement elasto!plastic consti! tutive models in non!linear _nite element procedures have been compared[ Elastic Predictor Plastic Cor! rector "EP PC# method\ Plastic Predictor Plastic Corrector "PP PC# method\ Implicit Integration "Implicit# method and Modi_ed Euler "ME# method were used to implement Hierarchical Single Surface "HiSS# d9 model into the general purpose _nite element program ABAQUS[ First\ these algorithms were used outside the _nite element program to simulate various triaxial stress paths[ After that\ they were used in ABAQUS to simulate two strip footings] "a# displacement controlled rigid footing and "b# load controlled ~exible footing[ The e}ect of the sub!strain increment size on the accuracy\ stability and e.ciency of each algorithm during these simulations have been compared[ Implicit Method and ME performed well for some problems but performed poorly on others[ EP PC and PP PC methods performed equally well for all the problems[ This also showed the importance of testing algorithms under various stress paths and boundary value problems to assess their relative performance