ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
8
ɬɪɚɧɫɜɟɪɫɚɥɶɧɨ-ɢɡɨɬɪɨɩɧɵɦ ɦɚɬɟɪɢɚɥɨɦ, ɟɟ ɨɫɶ ɬɪɚɧɫɜɟɪɫɚɥɶɧɨɣ
ɢɡɨɬɪɨɩɢɢ
1
O
c
[
(
ɢɥɢ
2
O
c
[
ɞɥɹ 2-ɣ ɫɢɫɬɟɦɵ ɧɢɬɟɣ) ɹɜɥɹɟɬɫɹ ɩɟɪɟɦɟɧ-
ɧɨɣ: ɜ ɤɚɠɞɨɣ ɬɨɱɤɟ
k
[
ɨɧɚ ɧɚɤɥɨɧɟɧɚ ɩɨ ɤɚɫɚɬɟɥɶɧɨɣ ɤ ɫɪɟɞɧɟɣ ɥɢ-
ɧɢɢ ɧɢɬɢ (ɫɦ. ɪɢɫ. 2).
Ɋɢɫ. 2. Ɇɨɞɟɥɶ ɢɫɤɪɢɜɥɟɧɧɨɣ ɧɢɬɢ ɜ əɉ ɢ 1D-ɷɥɟɦɟɧɬ ɫ ɦɨɧɨɜɨɥɨɤɧɚɦɢ ɜ ɫɨ-
ɫɬɚɜɟ ɧɢɬɢ
Ⱦɥɹ ɜɵɱɢɫɥɟɧɢɹ ɤɨɦɩɨɧɟɧɬ ɬɟɧɡɨɪɚ ɦɨɞɭɥɟɣ ɭɩɪɭɝɨɫɬɢ ɧɢɬɢ
( )
1 2
1 2
( , , )
( , , ),
ijkl
k
ijkl
k
k
C z z C z z
V

D
[
D
[
[
[
(
V
[
D
—
ɨɛɥɚɫɬɶ ɜ əɉ, ɡɚɧɹɬɚɹ
D
-
ɣ ɧɢɬɶɸ ɜ ɫɢɫɬɟɦɟ ɤɨɨɪɞɢɧɚɬ
,
i
O
[
ɫɜɹɡɚɧɧɨɣ ɫ əɉ) ɜɨɫɩɨɥɶɡɭɟɦɫɹ
ɩɪɢɛɥɢɠɟɧɧɨɣ ɦɨɞɟɥɶɸ ɫɦɟɫɟɜɨɝɨ ɬɢɩɚ [12], ɜ ɤɨɬɨɪɨɣ ɧɢɬɶ ɪɚɫ-
ɫɦɚɬɪɢɜɚɟɬɫɹ ɤɚɤ ɫɢɫɬɟɦɚ ɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨ ɪɚɫɩɨɥɨɠɟɧɧɵɯ ɨɞɧɨɧɚ-
ɩɪɚɜɥɟɧɧɵɯ (1D) ɷɥɟɦɟɧɬɨɜ, ɩɨɜɟɪɧɭɬɵɯ ɧɚ ɧɟɤɨɬɨɪɵɣ ɭɝɨɥ
( ),
k
D
M [
ɫɨɨɬɜɟɬɫɬɜɭɸɳɢɣ ɭɝɥɭ ɩɨɜɨɪɨɬɚ ɫɪɟɞɧɟɣ ɥɢɧɢɢ
D
-
ɣ ɧɢɬɢ. ȼ ɫɨɛ-
ɫɬɜɟɧɧɨɣ ɫɢɫɬɟɦɟ ɤɨɨɪɞɢɧɚɬ
,
i
O
c
[
ɫɜɹɡɚɧɧɨɣ ɫ ɧɢɬɶɸ (ɨɫɶ
O
c
D
[
ɧɚɩɪɚɜɥɟɧɚ ɩɨ ɤɚɫɚɬɟɥɶɧɨɣ ɤ ɫɪɟɞɧɟɣ ɥɢɧɢɢ ɧɢɬɢ), ɬɟɯɧɢɱɟɫɤɢɟ
ɭɩɪɭɝɢɟ ɤɨɧɫɬɚɧɬɵ ɧɢɬɢ ɜɵɱɢɫɥɹɸɬɫɹ ɩɨ ɫɥɟɞɭɸɳɢɦ ɮɨɪɦɭɥɚɦ:
(1 ),
l
f f
m f
E E E
M
M
1
1
;
f
f
t
f
m
E
E E
§
·
¨
¸
¨
¸
©
¹
M
M
(1 ),
l
f f
m f
Q
Q M
Q
M
;
t
m
Q
Q
(3)