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1581554214Lv1
18 Oct 2023
Triaxial compression tests are a common laboratory
technique for determining elastic properties and
strengths of rocks at various pressures p and temperatures.
Figure 3.6 is a schematic of the experimental
method. A cylindrical rock specimen is
loaded axially by a compressive stress σ1. The sample
is also uniformly compressed laterally by stresses
σ2 = σ3 < σ1.
Show that
ε2 = ε3
and
σ1 − σ2 = 2G(ε1 − ε2).
Thus if the measured stress difference σ1−σ2 is plotted
against the measured strain difference ε1−ε2, the
slope of the line determines 2G.
Triaxial compression tests are a common laboratory
technique for determining elastic properties and
strengths of rocks at various pressures p and temperatures.
Figure 3.6 is a schematic of the experimental
method. A cylindrical rock specimen is
loaded axially by a compressive stress σ1. The sample
is also uniformly compressed laterally by stresses
σ2 = σ3 < σ1.
Show that
ε2 = ε3
and
σ1 − σ2 = 2G(ε1 − ε2).
Thus if the measured stress difference σ1−σ2 is plotted
against the measured strain difference ε1−ε2, the
slope of the line determines 2G.
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