Stress-induced anisotropy in granular materials: fabric, stiffness, and permeability
By Matthew R. Kuhn, WaiChing Sun, Qi Wang. 2015
133 citations recorded by the source corpus.
The loading of a granular material induces anisotropies of the particle arrangement (fabric) and of the material’s strength, incremental stiffness, and permeability. Thirteen measures of fabric anisotropy are developed, which are arranged in four categories: as preferred orientations of the particle bodies, the particle surfaces, the contact normals, and the void space. Anisotropy of the voids is described through image analysis and with Minkowski tensors. The thirteen measures of anisotropy change during loading, as determined with three-dimensional discrete element simulations of biaxial plane strain compression with constant mean stress. Assemblies with four different particle shapes were simulated. The measures of contact orientation are the most responsive to loading, and they change greatly at small strains, whereas the other measures lag the loading process and continue to change beyond the state of peak stress and even after the deviatoric stress has nearly reached a steady state. The paper implements a methodology for characterizing the incremental stiffness of a granular assembly during biaxial loading, with orthotropic loading increments that preserve the principal axes of the fabric and stiffness tensors. The linear part of the hypoplastic tangential stiffness is monitored with oedometric loading increments. This stiffness increases in the direction of the initial compressive loading but decreases in the direction of extension. Anisotropy of this stiffness is closely correlated with a particular measure of the contact fabric. Permeabilities are measured in three directions with lattice Boltzmann methods at various stages of loading and for assemblies with four particle shapes. Effective permeability is negatively correlated with the directional mean free path and is positively correlated with pore width, indicating that the anisotropy of effective permeability induced by loading is produced by changes in the directional hydraulic radius.
Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/108b64e61ca64298c91eba619ddefb62bf38c6ad
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Citations in the corpus
- A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning (2018, methodology): “Our major point of departure is the use of a graph-based concept previously presented in Pawlowski et al. [2012], Sun [2015] and Salinger et al. [2016] to design the information flow from smaller to larger scales and the use of recurrent neural network to automatically generate one surrogate model…”
- Meta-modeling game for deriving theoretical-consistent, micro-structural-based traction-separation laws via deep reinforcement learning (2018, methodology): “…Rege, 1997] Figure 9: Five examples of blind predictions from the optimal digraph configuration (the 4th digraph in Figure 8) against unseen data among test database of 150 loading cases. and post-bifurcation behaviors in granular materials [Sun et al., 2013a, Wang and Sun, 2015, Liu et al., 2018].”
- Geometric deep learning for computational mechanics Part I: Anisotropic Hyperelasticity (2020, background): “…is the connectivity graph used in granular mechanics community where the formations and evolution of force chains are linked to macroscopic phenomena, such as shear band formation and failures (Satake, 1992; Kuhn et al., 2015; Sun et al., 2013; Tordesillas et al., 2014; Wang and Sun, 2019a,b).”