Numerical modelling of shear band localisation in biaxial test with Smoothed Particle Hydrodynamics method

Shaohan Zhao, Ha H. Bui, Vincent Lemiale, Giang D. Nguyen

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

1 Citation (Scopus)


It is well known that when solving soil large deformation problems using mesh based continuum methods such as FEM, the pronounced mesh pathology hinders the correct prediction of strain localisation phenomenon. Although non-local or enhanced gradient constitutive models are proposed to remedy this problem, FEM modelling of large deformation such as post-localisation is not fully addressed. On the other hand, the smoothed particle hydrodynamics (SPH) method has been increasingly applied to address the above problem of FEM owing to its capability to model large deformation process. In this paper, a comparison between FEM and SPH method is made by conducting biaxial tests with a Mohr-Coulomb elastoplastic constitutive model. Numerical results show that SPH method is able to yield good agreement with FEM in small deformation range when mesh-related issues are not appeared yet. However, SPH continues to capture shear band development, while FEM exhibits serious mesh pathology at large deformation stage.

Original languageEnglish
Title of host publication9th Australasian Congress on Applied Mechanics, ACAM 2017
PublisherNational Committee on Applied Mechanics
ISBN (Electronic)9781925627022
Publication statusPublished - 1 Jan 2017
EventAustralasian Congress on Applied Mechanics 2017 - University of New South Wales, Sydney, Australia
Duration: 27 Nov 201729 Nov 2017
Conference number: 9th

Publication series

Name9th Australasian Congress on Applied Mechanics, ACAM 2017


ConferenceAustralasian Congress on Applied Mechanics 2017
Abbreviated titleACAM 2017
Internet address


  • Constitutive modelling
  • Localisation
  • Mohr-Coulomb
  • SPH

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