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

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MPa<br />

MPa<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2<br />

(a)<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

0 5 10 15 20 25<br />

(b)<br />

Distance from tip (m)<br />

Distance from flank (m)<br />

Figure 2.14. Comparison <strong>of</strong> the normal stress component distributions with distance<br />

from the model compaction b<strong>and</strong> tip (a) <strong>and</strong> flank (b) calculated using the BEM anticrack<br />

solution (solid lines) <strong>and</strong> Eshelby inclusion solution (dotted lines). Beyond 2 cm from the<br />

tip, the two solutions agree to within 1%. They increasingly diverge as the anticrack<br />

solution goes toward infinity at the tip, while the Eshelby solution remains finite.<br />

Adjacent to the flank, differences between the two solutions are less than 1% everywhere.<br />

69<br />

σ11 σ22 σ 33<br />

σ 11<br />

σ 22<br />

σ 33

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