671017.pdf

2 o^2 r n R 4 R 3 m z p(r,z) h o 1 o t 1 Ground Slope Cavity expansion source Image source (a) β φ 1 o r 22 n R 4 R 3 m z p(r,z) ...

휎휃(0)=− 푎^3 푞 2푅^33 − 푎^3 푞 2푅^34 , (18) 푢(0)푟 = 푎^3 푞 4퐺 ( 푡+푟 푅^33 + 푡+푟−푚 푅^34 ), (19) 푢(0)푧 = 푎^3 푞 4퐺 ( 푧−ℎ 푅^33 + 푧−ℎ+푛 푅^ ...

it can be obtained that 퐴=− 푎^3 푞 4퐺 . (38) Substituting the above expression of퐴back into ( 33 ), one has 푓=− 푎^3 푞 4퐺 ( 1 푅3푡 ...

r r r C d d R R B z o l r A(r,z) Figure 6: The stress analysis of calculation point by the force on the small element. 푑휏푟耠耠푧耠= ...

andslopingsurface).Therangeoftheangle훽between the slopeandtheverticalplaneis0⩽훽⩽휋/2. When훽=0, the slope turns to be vertical pla ...

1 2 34567 8 9 10 11 1 2 13 14 15 Normal stress (kPa) Solutions for cavity expansion in an infinite space Present solutions D/a − ...

1 2 34567 0 2 4 6 8 =0 =15 =45 =60 (t+ r)/a u (mm) Figure 10: The displacement varies with distance. andChaietal.[ 20 ]. Here,푢= ...

[18] H. G. Hopkins, “Dynamic expansion of spherical cavities in metals,” inProgress in Solid Mechanics,I.N.Sneddonand R.Hill,Eds ...

Hindawi Publishing Corporation Journal of Applied Mathematics Volume 2013, Article ID 848324, 10 pages http://dx.doi.org/10.1155 ...

e force of gravity e propagation of aphanitic microcracks e slip of original joints Relaxation of aphanitic Rotation of original ...

E Eo 0 Ed p p E (a) 0 d p o p (b) 0 o d p p (c) p 0 C C d Co p C (d) (^0) p T Td To p T (e) Figure 2: Rock mass mechanical param ...

Computation of elastic trial stress Exam ination of plastic Correction of the stress and Updating of the material yielding and c ...

Y 0 B A 1 2 X B 3 (a) Evolution of the yielding surface in the휋surface Y 0 B A 1 2 X B 3 DD A (b) Isoclinic scaling of the yield ...

P (^243) P 233 P (^223) RS3311 Figure 5: Calculated model of computation. 20 10 0 76543210 80 68 21 35 34 96 e distance from t ...

(a) Normal deformation of original joints (b) Tangential deformation of joints (c) Deformation of surrounding rocks Figure 7: Nu ...

Table 3: Classification criteria of relaxation degrees. 푘푘≤00<푘≤20% 20 %<푘≤40% 푘>40% V푝/(m/s) V푝≥ 5000 5000 >V푝≥ 400 ...

0 1.02. 0 0 3. 0 4. 0 (m) (m) Figure 10: Borehole camera information of columnar joints. 0 0 0 0 0 0 0 0 0.00.51.01.52.02. ...

China; Projects N110301006, N110501001, and N110401003 were supported by the Fundamental Research Funds for the Central Universi ...

Hindawi Publishing Corporation Journal of Applied Mathematics Volume 2013, Article ID 385278, 7 pages http://dx.doi.org/10.1155/ ...

by using discrete element method (DEM) investigated the effectoffabricontheshearstrengthofgranularmaterials. They proposed an an ...