Механика очага землятресения. Спецкурс. Воронина Е.В. - 62 стр.

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МГУ | Москва

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60
22 2
22 2
22
22 2
10,
10,

∂φ ∂φ
−+=


′
α∂ ∂


∂ψ ∂ψ
−+=


′
β∂ ∂

(13.2)
λ+ µ
α=
ρ
— -
µ
=
ρ
β —
S-
2
2
2
2
exp 1 ,
exp 1 ,


′
φ= ± −

α



′
ψ
=±−

β

(13.3)
ω
= —

∂∂ ∂
τ=λ + +µ =

∂∂ ∂

y = 0, (13.4)

∂∂
τ=µ +

∂∂

. (13.5)
V,
— –
=α.
()
′
+∞
−∞
∆∆
′
−=−
∫
π
.
()
=
()
′
=
=
.
π
. 
60

                                   Y 2  ∂ 2φ ∂ 2φ
                              1 −   2
                                              +     = 0,
                                    α    ∂[′2 ∂\ 2
                                       
                                                                                  (13.2)
                              Y  ∂ 2ψ ∂ 2ψ
                              1 − 2  2 + 2 = 0,
                              β  ∂[′          ∂\

]^_ α = λ + µ — kdhjhklv jZkijhkljZg_gby J-\heg β = µρ — kdhjhklv
           ρ
jZkijhkljZg_gby S-\heg MjZ\g_gby  bf_xl j_r_gb_ \ \b^_ wdkihg_g
pbZevguo nmgdpbc hibku\Zxsbo jZkijhkljZg_gb_ g_h^ghjh^guo \heg
                                              Y
                                                 2 
                         φ = exp LN[ ′ ± N\ 1 − 2  ,
                                
                                              α 
                                                                                 (13.3)
                                              Y
                                                 2 
                         ψ = exp LN[ ′ ± N\ 1 − 2  ,
                                
                                              β 
                                
]^_ N = ω — \hegh\h_ qbkeh
         F
       =jZgbqgu_ mkeh\by ^ey gZijy`_gbc
                               ∂8 ∂9              ∂9
                     τ \\ = λ    +           + µ ∂ =             ijb y = 0,   (13.4)
                               ∂[ ∂\               \

                                                ∂8 ∂9 
                                      τ [\ = µ      +     .                     (13.5)
                                                ∂ \   ∂ [ 
      =jZgbqgu_ mkeh\by ^ey kf_s_gbc  b mkeh\b_ g_ij_ju\ghklb V,
Z lZd`_ — ^ey gZijy`_gbc  –  iha\heyxl ihkljhblv kbkl_fm
mjZ\g_gbc ^ey hij_^_e_gby ihl_gpbZeh\   Hij_^_ebl_ev __ jZ\_g gm
ex ^ey Y = α .
      Ij_h[jZah\Zgb_ Nmjv_ hl ]jZgbqgh]h mkeh\by  ijb\h^bl _]h d
\b^m
                              ∆X                      ∆X +∞ HLN[′
                                      + ( − [′) = −       ∫       GN .
                                                     π −∞ LN

     Kf_s_gb_ 8 ( [ \ W ) bkiulu\Z_l kdZq_d ijb \ =   Ihi_j_qgZy dhf
                             

ihg_glZ 9 ( [ \ W ) bf__l hkh[_gghklv ijb [′ = beb [ = YW .
                                                            

     < ki_dljZevghf ij_^klZ\e_gbb h[_ wlb nmgdpbb bf_xl h^gm b lm `_
ki_dljZevgmx iehlghklv g_aZ\bkbfh hl qZklhlu b ihklhygguc k^\b] nZa
jZ\guc π .
         

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