Механика очага землятресения. Спецкурс. Воронина Е.В. - 67 стр.

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65
0
v =
(
()
22
2
12
3
22
0,
xx
St x t
uv

== +



.
u v
σ
τ
σ+τ
33
0τ=
3
0x =
12
0uu==
()
St
.
                                                                          65

      <  ]h^m f_oZgbdZ jZajmr_gby [ueZ knhjfmebjh\ZgZ Bj\bghf
gZ hkgh\_ dhgp_ipbb dhwnnbpb_glh\ bgl_gkb\ghklb GZ gZqZevghc klZ^bb
ijhp_kkZ \kiZju\Zgby dh]^Z v = 0  djbl_jbc Bj\bgZ jZ\_g djbl_jbx
=jbnnblkZ ?keb dhwnnbpb_gl bgl_gkb\ghklb ij_\ukbl k\h_ djblbq_kdh_
agZq_gb_ lh lj_sbgZ [m^_l jZkijhkljZgylvky


      E_dpby  
      IHE? < ;EB@G?C AHG? J:KLMS?C
      WEEBILBQ?KDHC LJ?SBGU
       KqblZ_f qlh \ bkoh^ghf khklhygbb kj_^Z gZoh^blky ih^ h^ghjh^ghc
gZ]jmadhc b \ g_dhlhjuc fhf_gl \j_f_gb \ gZqZe_ dhhj^bgZl aZjh`^Z_lky
iehkdZy k^\b]h\Zy lj_sbgZ ih
\_joghklv jZaju\Z dhlhjhc hij_
^_ey_lky weebikhf aZ^Zgguf \ ^_
dZjlh\hc kbkl_f_ dhhj^bgZl dZd
(jbk  
                    x2 x 2         
   S (t ) =  x3 = 0, 12 + 22 ≤ t 2  .
                   u     v        
       Kdhjhklb jZkijhkljZg_gby
jZaju\Z u b v — ihklhyggu b g_
ij_\urZxl kdhjhklb jZkijhkljZ
g_gby ihi_j_qguo \heg \ kj_^_
       Ij_^\Zjbl_evgh gZijy`_g
gh_ khklhygb_ oZjZdl_jbam_lky
l_gahjhf gZijy`_gbc σ Z l_gahj
gZijy`_gbc k\yaZgguc k ih^\b`
dhc τ lZd qlh ihegh_ gZijy`_gb_
jZ\gh σ + τ  DZd b \ aZ^Zq_ h ieh
kdhc lj_sbg_ jZaju\ g_ij_ju\
ghklb \ iehkdhklb lj_sbgu ^Z_lky
lhevdh ijh^hevgufb kf_s_gbyfb
=jZgbqgu_ mkeh\by bf_xl \b^
τ33 = 0 \kx^m gZ iehkdhklb x3 = 0
b u1 = u2 = 0 \g_ S (t ) .
       Nmgdpby ih^\b`db ijb jZk
lms_c weebilbq_kdhc lj_sbg_               Jbk JZkijhkljZgyxsZyky we
                                                                  

k^\b]Z hij_^_ey_lky dZd                  ebilbq_kdZy lj_sbgZ