On Why and Where GSH Is Rate-Independent

  • Yimin Jiang
  • Mario LiuEmail author
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)


This exposition is dedicated to Professor Gert Gudehus on his 80\(^\mathrm{th}\) Birthday, who was among the first to realise the potential of GSH, presciently and more clearly than we did. In what follows, we shall first generalising the notion of rate-independence to invariance under a scale transformation in time. We then demonstrate this invariance of GSH (granular solid hydrodynamics) at typical shear rates of soil-mechanical experiments, for both slowly varying and suddenly changing rates, and in the presence of shear bands. Scale invariance is lost, and rate-dependence appears, at higher shear rates such as given in chute flows.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Central South UniversityChangshaChina
  2. 2.Theoretische PhysikUniversität TübingenTübingenGermany

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