structural geology, propagation mechanics and - Stanford School of ...

MPa
10 4
10 3
10 2
10 1
10 −5 10 −4 10 −3 10 −2 10 −1
10 0
Distance from tip, r (m)
Figure 2.15. Log-log plot of the distribution of σ11 with distance from the model
compaction band tip: BEM anticrack solution (solid line), Eshelby inclusion solution
(dashed line), crack-like contours of 1/sqrt(r) (dotted lines), dislocation-like contours of
1/r (dash-dot lines). At the distance r = 1 cm from the tip, the two solutions effectively
coincide. As r decreases, the Eshelby solution approaches the 1/sqrt(r) distribution,
although it remains finite. The BEM anticrack solution, which is composed of a step-wise
distribution of constant closing-mode displacement discontinuity elements, goes to
infinity as 1/r.
Distance (m)
0.4
0.3
0.2
0.1
0
−0.1
−0.2
−0.3
−0.4
12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13
Distance (m)
Figure 2.16. Contour plot of mean normal stress at the tip of the model anticrack
compaction band (band represented by white slot). The remote mean normal stress is 30
MPa. Tick marks indicate the local orientation of the maximum principal stress.
70
MPa
38
37
36
35
34
33
32
31
30