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In-situ stress characterization and applications (view source)
Revision as of 17:42, 28 April 2022
, 17:42, 28 April 2022no edit summary
===3-D Mohr Circle===
===3-D Mohr Circle===
Mohar diagram can also represent the state of stress in three dimensions. The state of stress is presented as three circles which connect the three principle stresses in one Mohar diagram (see figure 7). The three principle stresses are plotted in the horizontal axis. The center of each circle is calculated as follow:
Mohar diagram can also represent the state of stress in three dimensions. The state of stress is presented as three circles which connect the three principle stresses in one Mohar diagram (see figure 7). The three principle stresses are plotted in the horizontal axis. The center of each circle is calculated as follow:
C1 = ½ (σ1 + σ2)
::<math>C1 = ½ (σ_1 + σ_2) </math>
C2 = ½ (σ1 + σ3)
::<math>C2 = ½ (σ_1 + σ_3) </math>
C3 = ½ (σ2 + σ3)
::<math>C3 = ½ (σ_2 + σ_3) </math>
The radius of each circle is calculated as follow:
The radius of each circle is calculated as follow:
R3 = ½ (σ2 - σ3)
R3 = ½ (σ2 - σ3)
[[File:GeoWikiWriteOff2021-Tayyib-Figure7.png|thumbnail|Figure 7 (a) The principal stresses acting on a cube (b) Mohr Circles in three dimensions.]]
[[File:GeoWikiWriteOff2021-Tayyib-Figure7.png|framed|center|{{figure number|7}}(a) The principal stresses acting on a cube (b) Mohr Circles in three dimensions.]]
==In-situ Stress Estimation==
==In-situ Stress Estimation==