Анизотропные жидкости. Биологические структуры. Петрова Г.П. - 25 стр.

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24
0
11 1
...
23 4
ij ji ij jk ki ij jk kl li
F F AQQ BQQ Q CQQ QQ
=+ + + +
, (7)
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Q
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00 23
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zz xx yy
QQQ
=− =−
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xy
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xy z
.
F
F
ij
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.
(1 2)
ij ji
AQ Q
222
13 13
1161
13 13
2293
23 23
AQ AQ AQ
−−
−−==
.
234
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121
32718
F F AQ BQ CQ
=+ +
. (8)
wg_j]bb \ jy^ ih kl_i_gyf l_gahjgh]h iZjZf_ljZ ihjy^dZ
                   1            1               1
        F = F0 +     AQij Q ji + BQij Q jk Qki + CQij Q jk Qkl Qli + ... ,        (7 )
                   2            3               4
F0 —   iehlghklv k\h[h^ghc wg_j]bb bahljhighc nZau A, B, C —
dhwnnbpb_glu jZaeh`_gby nmgdpbb T b p .
     ey g_fZlbq_kdhc kljmdlmju g_baf_ggufb dhfihg_glZfb l_g
ahjZ y\eyxlky Qzz = −2Qxx = −2Qyy .
     Iehkdhklv xy — iehkdhklv a_jdZevgh]h hljZ`_gby lZdhc
kljmdlmju
     Khklhygb_ Qij khhl\_lkl\m_l hjb_glZpbb Q ih ]  Z khklhygb_ k
−Qij — hjb_glZpbb Q \ iehkdhklb xy ⊥ z .
     Ihkdhevdm wlb khklhygby g_ wd\b\Ze_glgu g_l lZdh]h kbff_l
jbqgh]h ij_h[jZah\Zgby dhlhjh_ i_j_\h^beh [u h^gh khklhygb_ \
^jm]h_  \ jZaeh`_gbb ^ey F bf__lky bg\ZjbZgl lj_lv_]h ihjy^dZ
Ij_h[jZam_f \ujZ`_gb_ ^ey F k mq_lhf aZ\bkbfhklb Qij hl 4 .
     >ey (1 2) AQij Q ji bf__f
                 −1 3                  −1 3
        1                                                       1     6 1
          AQ 2           −1 3                 −1 3         =      AQ 2 = AQ 2 .
        2                                                       2     9 3
                                  23                 23

    Ijh\_^_f ZgZeh]bqgu_ \uqbke_gby ^ey hklZevguo qe_gh\ \
jZaeh`_gbb )  \ j_amevlZl_ ihemqbf
                                1       2      1
                        F = F0 + AQ 2 − BQ 3 + CQ 4 .                             (8 )
                                3      27     18
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