scholarly journals Characterizing asphalt mixtures with random aggregate gradations based on the three‐dimensional locally homogeneous model

2021 ◽  
Author(s):  
Cong Du ◽  
Pengfei Liu ◽  
Yiren Sun ◽  
Jingyun Chen ◽  
Quan Liu ◽  
...  
Keyword(s):  
Homogeneous Model ◽  
Three Dimensional ◽  
Asphalt Mixtures ◽  
Random Aggregate ◽  
Locally Homogeneous

scholarly journals Evaluation of a locally homogeneous model of spray evaporation

1978 ◽  
Author(s):  
A. SHEARER ◽  
G. FAETH
Keyword(s):  
Homogeneous Model ◽  
Locally Homogeneous

scholarly journals Higher order geometric flows on three-dimensional locally homogeneous spaces

2013 ◽  
Vol 54 (1) ◽  
pp. 013509
Author(s):  
Sanjit Das ◽  
Kartik Prabhu ◽  
Sayan Kar
Keyword(s):  
Homogeneous Spaces ◽  
Three Dimensional ◽  
Higher Order ◽  
Geometric Flows ◽  
Locally Homogeneous

Three-dimensional metrics with a spherical homogeneous model

1998 ◽  
Vol 39 (2) ◽  
pp. 1189-1198
Author(s):  
Victor Patrangenaru
Keyword(s):  
Homogeneous Model ◽  
Three Dimensional

scholarly journals Effects of Aggregate Mesostructure on Permanent Deformation of Asphalt Mixture Using Three-Dimensional Discrete Element Modeling

Materials ◽  
2019 ◽  
Vol 12 (21) ◽  
pp. 3601 ◽  
Author(s):  
Deyu Zhang ◽  
Linhao Gu ◽  
Junqing Zhu
Keyword(s):  
Surface Texture ◽  
Deformation Behavior ◽  
Negative Impact ◽  
Permanent Deformation ◽  
Asphalt Mixture ◽  
Three Dimensional ◽  
Vertical Direction ◽  
Discrete Element ◽  
Asphalt Mixtures ◽  
Creep Tests

This paper investigated the effects of aggregate mesostructures on permanent deformation behavior of an asphalt mixture using the three-dimensional (3D) discrete element method (DEM). A 3D discrete element (DE) model of an asphalt mixture composed of coarse aggregates, asphalt mastic, and air voids was developed. Mesomechanical models representing the interactions among the components of asphalt mixture were assigned. Based on the mesomechanical modeling, the uniaxial static load creep tests were simulated using the prepared models, and effects of aggregate angularity, orientation, surface texture, and distribution on the permanent deformation behavior of the asphalt mixtures were analyzed. It was proven that good aggregate angularity had a positive effect on the permanent deformation performance of the asphalt mixtures, especially when approximate cubic aggregates were used. Aggregate packing was more stable when the aggregate orientations tended to be horizontal, which improved the permanent deformation performance of the asphalt mixture. The influence of orientations of 4.75 mm size aggregates on the permanent deformation behavior of the asphalt mixture was significant. Use of aggregates with good surface texture benefitted the permanent deformation performance of the asphalt mixture. Additionally, the non-uniform distribution of aggregates had a negative impact on the permanent deformation performance of the asphalt mixtures, especially when aggregates were distributed non-uniformly in the vertical direction.

scholarly journals Mathematical Modeling in the Study of the Ricci Operator on Four-Dimensional Locally Homogeneous (Pseudo)Riemannian Manifolds with Isotropic Weyl Tensor

2020 ◽  
pp. 92-95
Author(s):  
S.V. Klepikova ◽  
T.P. Makhaeva
Keyword(s):  
Riemannian Manifolds ◽  
Weyl Tensor ◽  
Three Dimensional ◽  
Isotropy Subgroup ◽  
Ricci Operator ◽  
One Dimensional ◽  
3 Dimensional ◽  
Homogeneous Riemannian Manifolds ◽  
Locally Homogeneous ◽  
The One

It is known that a locally homogeneous manifold can be obtained from a locally conformally homogeneous (pseudo)Riemannian manifolds by a conformal deformation if the Weyl tensor (or the Schouten-Weyl tensor in the three-dimensional case) has a nonzero squared length. Thus, the problem arises of studying (pseudo)Riemannian locally homogeneous and locally conformally homogeneous manifolds, the Weyl tensor of which has zero squared length, and itself is not equal to zero (in this case, the Weyl tensor is called isotropic). One of the important aspects in the study of such manifolds is the study of the curvature operators on them, namely, the problem of restoring a (pseudo)Riemannian manifold from a given Ricci operator. The problem of the prescribed values of the Ricci operator on 3-dimensional locally homogeneous Riemannian manifolds has been solved by O. Kowalski and S. Nikcevic. Analogous results for the one-dimensional and sectional curvature operators were obtained by D.N. Oskorbin, E.D. Rodionov, and O.P Khromova. This paper is devoted to the description of an example of studying the problem of the prescribed Ricci operator for four-dimensional locally homogeneous (pseudo) Riemannian manifolds with a nontrivial isotropy subgroup and isotropic Weyl tensor.

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