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Stress-strain hysteresis shape estimation of different soils using deformation-history integral (DHI) model

Research output: Contribution to journalArticleScientificpeer-review


Original languageEnglish
Pages (from-to)221-228
Number of pages8
Issue number2
Publication statusPublished - 10 Jul 2020
Publication typeA1 Journal article-refereed


Different soils show different nonlinear stress-strain patterns. Hence, it is difficult to come up with a general model to predict these shapes. This study investigated the suitability of the DHI model which was not originally formulated for geomaterials. This model was applied to different loading cycles of various types of soils and the model’s variables were optimized using nonlinear generalized reduced gradient (GRG) method. Up to five hysteresis springs were considered in the study. The computed error criteria indicated that the DHI model approximated the nonlinear hysteresis shapes appropriately and using three hysteresis springs presented the best estimation for almost all cases. In addition, this model approximated the initial loading cycles better than the final ones.


  • cyclic direct simple shear (CDSS) test, DHI model, dynamic loading, nonlinear plasticity, optimization, soil modeling

Publication forum classification

Field of science, Statistics Finland