Changes

==Notation of Stress==

==Notation of Stress==

Stress is often represented by the Greek letter sigma (σ) and can be defined as the force applied over an area. When the force acts perpendicular to a plane, the stress is called a Normal Stress (σn), whereas when the force acts parallel to a plane, the stress is called a Horizontal Stress (σs or ). Generally, the stress acting on a plane is oblique which means it is neither parallel nor at a right angle to that plane. Therefore, the stress vector is resolved into normal and shear components that are aligned with the three cartesian axes: x, y and z. Since the shear stress component is generally not aligned with these axes, it needs to be resolved further into two components (see [[:File:GeoWikiWriteOff2021-Tayyib-Figure3.png|Figure 3]]).  

Stress is often represented by the Greek letter sigma (σ) and can be defined as the force applied over an area. When the force acts perpendicular to a plane, the stress is called a Normal Stress (σn), whereas when the force acts parallel to a plane, the stress is called a Horizontal Stress (σs or ). Generally, the stress acting on a plane is oblique which means it is neither parallel nor at a right angle to that plane. Therefore, the stress vector is resolved into normal and shear components that are aligned with the three cartesian axes: x, y and z. Since the shear stress component is generally not aligned with these axes, it needs to be resolved further into two components (see [[:File:GeoWikiWriteOff2021-Tayyib-Figure3.png|Figure 3]]).  

[[File:GeoWikiWriteOff2021-Tayyib-Figure3.png|framed|center|{{Figure number|3}} Illustration of resolving an oblique stress vector into normal and shear components.]]

[[File:GeoWikiWriteOff2021-Tayyib-Figure3.png|framed|{{Figure number|3}} Illustration of resolving an oblique stress vector into normal and shear components.]]

These components act on each visible face of an infinitesimal cube used to represent a point within a rock mass. This results in a total of nine stress components that can be organized in a 3x3 matrix, called the stress tensor (see figure 4). Assuming the rock is at rest, the stresses of equal magnitudes and opposite directions will cancel out each other and prevent the cube from rotating. There is a special orientation in space where all shear stresses equal to zero and only three normal compressive components exist, called principle stresses (see Figure 5). The three principle stresses are the vertical stress (σV), the maximum horizontal stress (σH), and the minimum horizontal stress (σh).  

These components act on each visible face of an infinitesimal cube used to represent a point within a rock mass. This results in a total of nine stress components that can be organized in a 3x3 matrix, called the stress tensor (see figure 4). Assuming the rock is at rest, the stresses of equal magnitudes and opposite directions will cancel out each other and prevent the cube from rotating. There is a special orientation in space where all shear stresses equal to zero and only three normal compressive components exist, called principle stresses (see Figure 5). The three principle stresses are the vertical stress (σV), the maximum horizontal stress (σH), and the minimum horizontal stress (σh).  

[[File:GeoWikiWriteOff2021-Tayyib-Figure4.png|thumbnail|Figure 4 Stress tensor components of an infinitesimal cube, representing a point in the rock, and their alignment with the cartesian axes. (from Zhang, L., 2016) [3.1]]]  

[[File:GeoWikiWriteOff2021-Tayyib-Figure4.png|thumbnail|Figure 4 Stress tensor components of an infinitesimal cube, representing a point in the rock, and their alignment with the cartesian axes. (from Zhang, L., 2016) [3.1]]]  

[[File:GeoWikiWriteOff2021-Tayyib-Figure5.png|thumbnail|Figure 5 Special orientation in space where all shear stresses equal to zero. (from Zhang, L., 2016) [3.2]]]  

[[File:GeoWikiWriteOff2021-Tayyib-Figure5.png|thumbnail|Figure 5 Special orientation in space where all shear stresses equal to zero. (from Zhang, L., 2016) [3.2]]]

==Mohr Circle and Diagram==

==Mohr Circle and Diagram==