Microscopic origin of shape-dependent shear strength of granular materials: a granular dynamics perspective

Spatial Structure Characteristics of Underground Reservoir Water Storage Space in Coal Mines Considering Shape Characteristics of Crushed Rock

“…It affects the local void radius, throat radius, and void shape factor of the packing system. Irregularly shaped crushed rocks have a greater ability to prevent sliding and rotation within a specific area [48], thus enhancing the interlocking effect among them. This interlocking effect [49] facilitates the formation of larger cavities.…”

General friction law for velocity‐stress dependent phase transition in granular flow

“…Considering the similarities between granular flows and Bingham fluids, a simple linear function is firstly adopted for bridging the effective friction coefficient $${\mu _{{\rm{eff}}}}$$ and the inertial number $$I$$ 33 : $$\begin{equation}{\mu _{{\rm{eff}}}} = {\mu _{\min }} + bI\end{equation}$$where $$b$$ is a constant, and $${\mu _{{\rm{min}}}}$$ is the minimum value of effective friction coefficient . Hatano 56 found the nonlinear relation between $${\mu _{{\rm{eff}}}}$$ and $$I$$ roughly obeys a power law 100,102 as: $$\begin{equation}{\mu _{{\rm{eff}}}} = {\mu _{\min }} + s{I^\alpha }\end{equation}$$where $$s$$ and $$\alpha $$ are constants. Equations (11) and (12) imply that $${\mu _{{\rm{eff}}}}$$ could reach arbitrary values as $$I$$ increases, which is incompatible with experimental results 6,96 for large inertial number.…”

“…where 𝑏 is a constant, and 𝜇 min is the minimum value of effective friction coefficient . Hatano 56 found the nonlinear relation between 𝜇 ef f and 𝐼 roughly obeys a power law 100,102 as:…”

Interplay Between Friction and Cohesion: A Spectrum of Retrogressive Slope Failure

“…In this study, the fragmentation and damage of particles are not considered for simplicity; rather, the macroscopic failure and damage are derived from the rearrangement of particles. To characterize the intensity of the rearrangement of RVEs and represent the developing macroscopic material plasticity, a mesoscale parameter, the granular temperature 𝐴𝐴 𝐴𝐴 (Zou et al, 2022), is introduced:…”

“…In this study, the fragmentation and damage of particles are not considered for simplicity; rather, the macroscopic failure and damage are derived from the rearrangement of particles. To characterize the intensity of the rearrangement of RVEs and represent the developing macroscopic material plasticity, a mesoscale parameter, the granular temperature $$T$$ (Zou et al., 2022), is introduced: $$$T=\frac{1}{D}\langle \delta \boldsymbol{v}\cdot \delta \boldsymbol{v}\rangle $$$ where $$\delta v$$ is the fluctuating velocity and $$D$$ is the dimension of the simulation ($$D=2$$ in this study). The fluctuating velocity is defined as the velocity difference between particle $$i$$ and the corresponding neighboring particle, that is, $$\delta \boldsymbol{v}={\boldsymbol{v}}_{i}-{\boldsymbol{v}}_{\mathrm{n}\mathrm{e}\mathrm{i}\mathrm{g}\mathrm{h}}$$.…”