The Hypoplastic Model Expressed by Mean Stress and Deviatoric Stress Ratio

  • Xuzhen HeEmail author
  • Wei Wu
  • Dichuan Zhang
  • Jong Kim
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)


Over the past several decades, hypoplasticity has been shwon to be a powerful tool to predict the non-linear behaviour of soils. Early hypoplastic models were developed from trial-and-error procedures and these models are usually expressed in a unique tensorial equation regarding the stress tensor. However, most models for fluid-like soil are expressed in the deviatoric stress ratio and the mean stress and these variables are usually modelled differently. This paper presents the hypoplastic model in a new format and written in these two variables. Additionally, parameters of hypoplastic models usually do not have any clear physical meaning and the authors try to investigate the meaning of parameters in the new equations.


Hypoplastic model Dilatancy 



The first author acknowledges the financial support from the Otto Pregl Foundation for Geotechnical Fundamental Research, Vienna, Austria and Jiangsu Province natural sciences fund subsidisation project (BK20170677). The research is also partly funded by the project “GEORAMP” within the RISE programme of Horizon 2020 under grant number 645665.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Institut für GeotechnikUniversität für BodenkulturWienAustria
  2. 2.Nazarbayev UniversityAstanaKazakhstan

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