Механика очага землятресения. Спецкурс. Воронина Е.В. - 17 стр.

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МГУ | Москва

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15
()
ρ
—
() ()
,
λ
µ
—
() ()
— S
γ
—
()
0
,
σ —
,
∂

ζ

∂

—
1.
2.
()
,
.
3.
2
,
2
∂τ
∂
+=ρ
∂
∂
. (4.1)
,,

∂
∂
τ=λδε+µ +


∂∂

. (4.2)
()
=
;
()
∂
=
∂
= . (4.3)
τν=
, (4.4
a) 
                                                                    15

q_gbb b gZ wlhf hkgh\Zgbb knhjfmebjh\Zlv h[jZlgmx aZ^Zqm Ijb j_r_
gbb h[jZlghc aZ^Zqb g_h[oh^bfh hp_gb\Zlv __ jZaj_rbfhklv
     H;S:Y IHKL:GH:QB
      JZkkfhljbf mijm]mx h^ghjh^gmx bahljhigmx kj_^m >himklbf
qlh gZf ba\_klgu      
      ρ ( [ ) — iehlghklv kj_^u
          &


      λ ( [ ), µ ( [ ) — mijm]b_ dhgklZglu
           &        &


      9 S ( [ ) 9V ( [ ) — kdhjhklb jZkijhkljZg_gby J b S \heg
      γ HII — m^_evgZy jZ[hlZ jZajmr_gby
      σL0, M ( [ ) — jZkij_^_e_gb_ gZqZevguo gZijy`_gbc
               &


         ∂X & 
     ζL  L , [  — aZdhg lj_gby
         ∂W    
     G_h[oh^bfh hij_^_eblv
     1. AZ\bkbfhklv ih\_joghklb jZaju\Z hl dhwnnbpb_glZ
                                                  & &
                                                              lj_gby
     2. JZkij_^_e_gb_ kdZqdZ kf_s_gbc gZ jZaju\_ 8 ( [ , W ) .
     3. Baf_g_gb_ gZijy`_gbc b kf_s_gbc \ kj_^_ \ ex[hf f_kl_ b \
         ex[hc fhf_gl \j_f_gb
     JZkkfhljbf mjZ\g_gby ^\b`_gby gZijbf_j ^ey lZg]_gpbZevguo gZ
ijy`_gbc lZd dZd k^\b] hibku\Z_lky baf_g_gb_f lZg]_gpbZevghc khklZ\
eyxs_c gZijy`_gbc 
                         ∂τL , M              ∂XL 2
                                   + IL = ρ           .          (4.1)
                          ∂[ M                ∂W 2
     MjZ\g_gb_ khklhygby kj_^u beb aZdhg =mdZ 
                                               ∂X ∂X M 
                    τL , M = λδL , M ε NN + µ  L +
                                               ∂[ M ∂[L 
                                                            .    (4.2)
                                                         
     I_j_^ gZqZehf \kiZju\Zgby kj_^Z gZoh^blky \ ihdh_ Ihwlhfm gZ
qZevgu_ mkeh\by bf_xl \b^
                           XL ( [L  ) =  ;
                     ∂XL &
                        ( [  ) =              ijb W =  .     (4.3)
                     ∂[
     =jZgbqgu_ mkeh\by bf_xl \b^
     Z ^g_\gZy ih\_joghklv k\h[h^gZ hl gZijy`_gbc
                                    τL M ν =  ,
                                         
                                                                (4.4 a)

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