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4020-F-2011-Lecture-5b

4020-F-2011-Lecture-5b - TWW,fiw‘M 0 CIA/t(ac/MC...

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Unformatted text preview: TWW ,fiw‘M' 0% CIA/t (ac/MC Deg/0450”” .///_x aw [:3% [I nppt' “Woo/L ; 2:92 yw awe (‘Lc 1.: u 34sz ,9 «e {UM \ 6140" bee‘ ‘ (4,2qu “HA“ £1 W VWM/ \ /- _- «at eatscuuh'wous 7W “36 UMa/{H‘ou {m— ‘HA‘Q dQRHCCcDquKQ 0/ (WW WM; . Q9 W I The {await/w ,1 (5’= 5‘2 MW HA2 ale/Mecca NSF Mew/w g”; t Eiim, €14... 0‘4 e/ [9, €01). W } "2n + £WFWIK2>'8,1 .— + (014/? WH’3>‘€12 4' [Wig/J“ 5w 1‘4 OLW CUM/0M : ' 5;“ WWW W 8W huh/1f [M +90; 91mg” w/vww, va 2,, ,Lc, £53 Gtz DGL‘ 6(2) :(93' éz'a >537, Sam Cum/€00, Mada; L79 CL MW €748.44 m wtw‘obc Ml/LCLU‘Q/ ers W (99.09, MMLW ; . mu) nofial.m Cm _ 6V: 627. . G; 453 6V3 6 ‘2 (: évz') 99; [WSW My’la/(C‘W ' [Vyg We 10% m‘oé 04/ ML 05W I‘mob‘ceg 3 We CW mm‘ée 6/, = CH; 2a: (wz‘éu We, 1.th Fwd MJ , fad a (3’ mm 0m; we I‘vcoéeir I's a 6’3 WNW rm Nye mmm) Tl/(‘Q (0&02, M6004: 'LUA have MW ca "cuéuwm WW0€4IWW V‘oeoo‘o‘bcé flu, comfiév‘Wtfe SYC'LW 442le MM (DO/(AMMQ/QCMQ I Q W. §c7 005W“& flag, xx ' ‘2 CIQWOKIMQLQQVQ£W WU“ (De 6!: {0&(‘M . 71 4/ Q'lt‘wm 156W [\M at MEWS CAI/WV J/ 7‘F y ' Syn/1W4 er, ' 'W ’ch awe,” .v . 9 W‘Z X .. Ag Cray/14’ \I/‘LQ yum _\to \:.M.. fADAa/404;1 y 1 7V v ywv WW I JD, JW [Vt-WVLVl/Vl Jco Vic/é a comoumk equ COMVWW I 1m meow/Law oeW - WWW41LWWW WWW ~ C wwté WI‘HA a} ImLQQ, H T), 790% /) TM Magma GM 6" Cu (A1 C1; (N. C; ((4 :( I 2 (22 C2! Cf; Ca; (w (as C 25 a z: j \ \ Q» 6': ‘ x 2} ““5 “CAM; WWW/t “g Af a fame”, /\ Juef 0L Ina/WWW, ”AWN Zoe Cy WWW/WE [OCM gémLe/fiuwwu Meagan ) ct WW W G9 G! Cu (l2 ([3 CW C15 Cw \ 62 C22 C23: (19' Ca; Cab Q?) 3 C53 (34 CatCsc ‘ 6L9 CALL-L CL}; C: fig fl/C <79 ( . QC: N“, __ ————-—. “WV/6b flaw/(AM, admit/9m, ,3; engHL waafg ‘ Pwa/JfCQ/C WW0” §4 ELASTICITY 141 TETRAGONAL Classes 4, Z, 4/m Classes 4mm, ZZmJ' 422, 4/mmm \Z I ' ‘ 1 \' I ' ' ' ‘ . ° (6) _ TRIGONAL Classes 3, 3 ' Classes 32, 3m, 3m \I I (\I ‘I HEXAGONAL All classes \‘I ' ' . . ' ' Isornorro s; x\ The form of the matrix given in 'the table for a completely isotropic uterial is obtained from the cubic matrix by requiring that the com- , uents' should be unaltered by rotations of 45° about the reference as. It may be verified that the form so given is unaltered by any ation of axes. For second-rank tensor properties cubic crystals'Were The same matrix holds for both possible orientations of class 22m (2 H 2:1 and 771. L31) :e the addition of a centre of symmetry makes the two orientations indistinguishable X)5) >(2) 140 EQUILIBRIUM PROPERTIES ' CH. VIII FF LABLE 9 Form of the (82:5) and (01.3.) matrices KEY TO NOTATION - zero component 0 non-zero component H equal components o—o components numerically equal, but opposite in sign For 8 © twice the numerical equal of the heavy dot component to which it is joined For '0 Q the nuinerical equal of the heavy dot component to which it is joined Force? X 2(811—812) For a X flan—cm) All the matrices are symmetrical about the leading diagonal. TRICLINIC 'Both classes 0 O O O O MONOCLINIC All classes ‘ . . ’Diadllxa ' ‘ ’ ' 7 ° (standard - . 0‘ o - ‘ o orientation) ‘ . .. . . O 0 ' . . ‘ O (13) OBTHORHOMBIC ' :CUBIC All classes ‘ All classes ...
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