Fabric evolution and dilatancy within anisotropic critical state theory guided and validated by DEM

Wang, Rui; Dafalias, Yannis F.; Fu, Pengcheng; Zhang, Jian-Min

doi:10.1016/j.ijsolstr.2019.10.013

Fabric evolution and dilatancy within anisotropic critical state theory guided and validated by DEM

Journal Article · Tue Oct 29 00:00:00 EDT 2019 · International Journal of Solids and Structures

DOI:https://doi.org/10.1016/j.ijsolstr.2019.10.013· OSTI ID:1835678

^[1]; Dafalias, Yannis F. ^[2]; Fu, Pengcheng ^[3]; Zhang, Jian-Min ^[1]

Tsinghua Univ., Beijing (China). State Key Laboratory of Hydroscience and Engineering
Univ. of California, Davis, CA (United States); National Technical Univ. of Athens (Greece); Czech Technical Univ., Prague (Czech Republic). Inst. of Thermomechanics
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Fabric, expressed by means of an evolving deviatoric fabric tensor F, plays a very important role in the anisotropic mechanical response of granular materials. The Anisotropic Critical State Theory (ACST) addresses fabric anisotropy by rendering dilatancy a function of F, in addition to other state variables. In this paper, 3D DEM is used to guide the specific grain-level definition of F, the formulation of its continuum evolution equation and its effect on anisotropic dilatancy within ACST. DEM provides stress-ratio and shear strain variations as input for ACST analytical calculations of evolving fabric tensor and dilatancy, which are then favourably compared with totally independent direct measurements of these quantities by DEM. Furthermore, dilatancy is shown to be strongly affected by the contact normal-based fabric tensor Fc, whose evolution is best described by a continuum equation within ACST that includes dilatancy and a quantity related to particle orientation-based fabric tensor Fp. The aforementioned favourable comparison of the results for fabric tensor and dilatancy obtained independently by ACST and DEM, confirms the validity of the core framework of ACST irrespective of any constitutive model that addresses the deviatoric stress-strain relations.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: European Research Council (ERC); General Secretariat for Research and Technology of Greece; National Natural Science Foundation of China (NSFC); Tsinghua University Initiative Scientific Research Program; USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1835678

Alternate ID(s):: OSTI ID: 1691900

Report Number(s):: LLNL-JRNL--783568; 978947

Journal Information:: International Journal of Solids and Structures, Journal Name: International Journal of Solids and Structures Vol. 188-189; ISSN 0020-7683

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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