Анизотропные жидкости. Биологические структуры. Петрова Г.П. - 13 стр.

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12
0
xx yy zz
QQQ
++=
,
22
22
2
31
sin cos ,
22
31
sin sin ,
22
31
cos ,
22
xx
yy
zz
Q
Q
Q
βγ
βγ
β
=−
=−
=−
()
2
00 2
cos .
zz
QDP
β
==
()
0
00
,1
D
βγ
=
,
() ( )
2
00 2
,cos
DP
βγ β
=
,
()
222
02
3
,sin
8
i
De
γ
βγ β
±
=
,
() ( )
4
00 4
,cos
DP
βγ β
=
,
()
46422
02
,1014cos14cos3cos
222
i
De
γ
βββ
βγ
±
±

=−+


,
()
4444
04
, 70 cos sin
22
i
De
γ
ββ
βγ
±
=
.
2
00
D
Z
2
02
Re
D
x
y
,
x
y
.
-
                                     Qxx + Qyy + Qzz = 0 ,
]^_
                                          3 2             1
                                Qxx =       sin β cos2 γ − ,
                                          2               2
                                          3 2              1
                                Q yy =      sin β sin 2 γ − ,
                                          2                2
                                         3         1
                                Qzz =      cos2 β − ,
                                         2         2
ijb wlhf Qzz = D002 = P2 (cos β ).
    >ey ^\mohkguo fhe_dme \hafh`gh kms_kl\h\Zgb_ iylb iZjZ
f_ljh\ ihjy^dZ
                                                                             3 2 # i 2γ
       0
      D00 ( β , γ ) = 1, D00
                          2
                             ( β , γ ) = P2 ( cos β ) , D02± 2 ( β , γ ) =     sin β e  ,
                                                                             8
                                    4
                                   D00 ( β , γ ) = P4 ( cos β ) ,
                                             β          β            β
           D04± 2 ( β , γ ) = 10 14cos6 − 14cos 4 + 3cos 2  e ± i 2γ ,
                                             2           2           2
                                                     β      β
                          D04± 4 ( β , γ ) = 70 cos 4 sin 4 e# i 4γ .
                                                     2      2
         2
        D00   — hij_^_ey_l mihjy^hq_gb_ hk_c Z fhe_dme ih hlghr_
gbx d ^bj_dlhjm
           2
       Re D02   ^\mhkguc iZjZf_lj ihjy^dZ dhlhjuc ihdZau\Z_l
                     —
jZaebqb_ \ hjb_glZpbb fhe_dme `b^dbo djbklZeeh\ ih hkyf x b y ,
beb bf__l kfuke ^ey fhe_dme k aZljm^g_gguf \jZs_gb_f \hdjm]
hk_c x b y .
           Ohe_kl_jbq_kd_ `b^db_ djbklZeeu
     @ Njb^_ev hlg_k bo d h^ghfm lbim k g_fZlbq_kdbfb @D gh
lhevdh ^ey kemqZy lZdbo fhe_dme dhlhju_ h[eZ^Zxl k\hckl\hf ob
jZevghklb hl keh\Z ©o_cjª – jmdZ  Wlb fhe_dmeu hlebqgu hl k\h
_]h a_jdZevgh]h bah[jZ`_gby hilbq_kdb Zdlb\gu bf_xl Zkbff_l
jbqgh_ kljh_gb_
     Ijbf_j objZevghc fhe_dmeu — fhe_dmeZ ohe_kl_jbe-
i_eZj]hgZlZ


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