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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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