Related Experiment Video
Updated: Feb 20, 2026
07:39
The Role of Fabric in Frictional Properties of Phyllosilicate-Rich Tectonic Faults
Published on: November 6, 2021
3.6K
Extrinsic faulting in 3C close-packed crystal structures: computational mechanics analysis
Ernesto Estevez-Rams1, Raimundo Lora-Serrano2, Arbelio Penton-Madrigal1
1Facultad de Física - Instituto de Ciencia y Tecnología de Materiales (IMRE), Universidad de la Habana, San Lazaro y L. CP 10400 C., Habana, Cuba.
Acta Crystallographica. Section A, Foundations and Advances
|October 27, 2017
Summary
This study introduces a computational mechanics framework to analyze extrinsic faulting, enabling comparisons of disordering processes and providing new analytical expressions for statistical complexity and entropy.
Area of Science:
- Materials Science
- Statistical Mechanics
- Computational Mechanics
Background:
- Extrinsic faulting previously analyzed using difference method and random walk calculations.
- Need for a unified framework to quantify disordering processes in faulting.
Purpose of the Study:
- Revisit extrinsic faulting within computational mechanics.
- Derive expressions for statistical complexity, entropy density, and excess entropy.
- Compare extrinsic faulting with other faulting types.
Main Methods:
- Application of computational mechanics framework.
- Development of ℇ-machine description for faulting mechanics.
- Derivation of analytical expressions for statistical properties.
Main Results:
- Expressions for statistical complexity, entropy density, and excess entropy as a function of faulting probability.
- Analytical expressions for probability of consecutive symbols in Hägg coding and hexagonality.
- Derived analytical expression for the pairwise correlation function of layers.
Conclusions:
- Computational mechanics provides a robust framework for analyzing extrinsic faulting.
- The study offers new analytical tools to quantify and compare faulting-induced disorder.
- Results provide insights into the effect of faulting on material properties and diffraction patterns.
Related Concept Videos
01:23Components of Stress
565
Stress analysis under multiple loading conditions is intricate, necessitating a comprehensive grasp of normal and shearing stresses. Consider a small cube at point O, subjected to stress on all six faces, visible or not. Normal stress components σx, σy, σz act perpendicularly to the x, y, and z axes. Shearing stress components τxy and τxz are exerted on faces perpendicular to these axes.
Interestingly, the hidden cube faces also experience these stresses, equal and...
Interestingly, the hidden cube faces also experience these stresses, equal and...
565
01:29Three-Dimensional Analysis of Strain
646
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
646
02:37Metallic Solids
21.0K
Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
21.0K
02:46Crystal Field Theory - Tetrahedral and Square Planar Complexes
48.8K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
48.8K
02:33Lattice Centering and Coordination Number
13.0K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
Types of Unit Cells
Imagine taking a large number of identical...
13.0K
01:20Elastic Strain Energy for Shearing Stresses
536
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
536