2. ΜΗΧΑΝΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΗΣ...

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  • . , 3/5/2004 2-1

    2

    2.

    2.1 . ( ) ( ). ( ' ), - . , . .

    2.2 , (v h ) :

    ov uh = , voh K = : h = = uo = = 23-26 kN/m3. : du wo = (w) (10 kN/m3) (d) . , () 0.4-1.0 . , : = 0.6-1.0. : = 0.4-0.7. ( 4 ) ( = 0-0.3 ). ( 400-500 ) ( = 1), , (100-400m) . ( ,

  • . , 3/5/2004 2-2

    , ) ( ). () . : 1. . 2. . 3. (overcoring). , : 1. .

    .

    2. , .

    3. (.. ) .

    2.3 :

    ERMRci=

    100

    1040

    alog (1)

    ci ( MPa) ( ), RMR Bieniawski (Rock Mass Rating) GSI (Geological Strength Index) GPa. Hoek (1997) Serafim and Pereira (1983). Poisson :

    Poisson

    0.20-0.25

    0.30-0.35 , 0.35-0.40

    0.30-0.35

    0.25-0.30

    2.4 Mohr Mohr-Coulomb ( ).

  • . , 3/5/2004 2-3

    Hoek-Brown . Hoek-Brown :

    1 33= + +

    ci b

    cim s (2)

    : 1, 3 = ci = ( ) mb, s, = (ci) Hoek-Brown. , (ci) 1 2. (mb, s, ) :

    m mRMR

    b i=

    exp

    10028

    (3)

    RMR > 25: sRMR

    =

    exp

    1009

    , = 0.50 (3)

    RMR < 25: s = 0 , = 0 65200

    .RMR

    (3)

    (mi) 3. , RMR GSI ( RMR < 40 RMR ). Hoek-Brown ( 2) (c = 1 3 = 0) : c ci s= (4) :

    RMR GSI c / ci 80 0.329 70 0.189 60 0.108 50 0.062 40 0.036 30 0.020 20 - 10 -

    . Hoek-Brown . , Hoek (1999) :

  • . , 3/5/2004 2-4

    =

    20exp019.0 GSIcic (4)

    , c / ci = 0.085 GSI = 30, (4) : c / ci = 0.02. , (2) (t = -3 1 = 0):

    [ ] t ci b bm s m= + 2 42 (5) - ( RMR > 25). - Hoek-Brown Mohr-Coulomb. , (c, ) Mohr-Coulomb Hoek-Brown. ( Hoek-Brown Mohr-Coulomb) Hoek-Brown . (c, ) Hoek-Brown ( 3): 1. :

    1 33= + +

    ci b

    cim s

    (1). 2. :

    1

    3

    3

    1 1

    ++==

    smmk

    cibb

    ( )31 =k . 3. :

    k

    ka +

    +=

    131 ( ) ( )

    kkka +

    ==

    131

    3

    () () . 4. () (c) :

    tan

    =

    +

    12

    1 3

    aa 1

    1sin+

    =kk

    c a a= tan 5. , ()

    (1) :

    ka

    a =

    =3

    tan

  • . , 3/5/2004 2-5

    2.5 , : 1. (..

    ) .

    2. (.. ).

    ( RMR) ( ). , (k) . ( - ) k = 0.10, 10% () . , , () 2%, 2.2% , 2.4% 2.6% . , . :

    ( )[ ]oeteoet ttkttk /log1)/log( +=+= k , t (t), e () , (to) . 1 2 t1 t2 t2=10xt1, : ek = 12 , (k) . , ( 1). , eoE / ( to) /E (t), :

    ( )oo ttkEE

    /log11

    +=

    , n- ( o

    n tt =10 ), to=1.2 (n = 1 1 , n = 2 10 n = 3 100 ) :

  • . , 3/5/2004 2-6

    nkEE o +

    =1

    1

    :

    / k 1 10 100

    0.02 0.980 0.961 0.943 0.05 0.952 0.909 0.870 0.10 0.909 0.833 0.769 0.15 0.870 0.769 0.690

    30% . Hoek E. (1999) "Support for very weak rock associated with faults and shear zones" Proc. Intern. Symp. on Rock Support and Reinforcement Practice in Mining, Kalgoorlie, Australia, March 1999.