固体物理第二章4教材

1、jiee),(321 jieeTijjiij321eee,333231232221131211TTTTTTTTT,;,;, 333231232221131211TTTTTTTTTT nnSTSTlim0kTjTiTTkTjTiTTkTjTiTTzzyzxzzzyyyxyyzxyxxxxzzST nnST xxST yzxnyyST yxTzxTxxTyyTzyTxyTyzTzzTxzTzxy zzzyzxyzyyyxxzxyxxnTTTTTTTTTTzxTxxTyyTzyTxyTyzTzzTxzTzxyyxxyxzzxzyyzTTTTTT ,)(,1654321xyzxyzzzyyxxTTTT

2、TTTTTTTT 345426561TTTTTTTTTTnyxzzTyxzTzzTxzyyTxzyTyyTzyxxTzyxTxxTxzxzxzxyxyxyxxxxxx)( xTxx )(xxTxx y x z 作用在体积元上的应力作用在体积元上的应力zTyTxTTxzxyxxx )( xTxx )(xxTxx y x z 作用在体积元上的应力作用在体积元上的应力)(2 zTyTxTTzTyTxTTzTyTxTTzzzyzxzyzyyyxyxzxyxxxzyxzTyTxTxzxyxx BAP ,kujuiuuzyx xuxudxxuuSxxxxxxx 0limyuSyyy xuxudxxuuyy

3、yyx 0lim yux yuxuSSxyyxxy21)(21 zuxuSSyuzuSSzuSxzxzzxzyzyyzzzz21,21, zzzyzxyzyyyxxzxyxxSSSSSSSSSS6,5,4,3,2,1yxxyxzzxzyyzzzyyxxxuyuSSSzuxuSSSyuzuSSSyxyxxyxzxzzxzyzyyz 654222222 tSSSSSSS654321 666262161665625215156462421414636232131362622212126162121111scscscTscscscTscscscTscscscTscscscTscscscT ScTSSS

4、SSSccccccccccccccccccccccccccccccccccccTTTTTT )(3654321666564636261565554535251464544434241363534333231262524232221161514131211654321)6,2,1(61 ScT)6,2,1(61 TsS 1 cs 662616262212161211cccccccccC 662616262212161211cccccccccC6,5,4,3,2,1yxxyxzzxzyyzzzyyxxzzxyyx ,33,12,21 2112,3231,1323,3333,1122,2211 33

5、3222111621,12513,31432,23 6646445654553634353316141513112624252321226656554645443635343326252423221615141312112112,3231,1323,3333,1122,2211 664554331221 , 66464456545536343533161415131126242523212266565546454436353433262524232216151413121166,33,120564656, 0343534, 0241524, 0142514, 0455445, 03636,26

6、16,5544,2313,2211 6604400440003316001311160013121113 , 22 , 31;23 , 32 , 11 312312665544332211 , 444444111212121112121211000000000000cccccccccccc)(1 zTyTxTfzTyTxTfzTyTxTfzzzyzxzyzyyyxyxzxyxxx)(2222222 zTyTxTtwzTyTxTtvzTyTxTtuzzzyzxyzyyyxxzxyxx )(3345224262256122 zTyTxTtwzTyTxTtvzTyTxTtu nzmylxR xR l

7、yR mzR n 222()Rlmnlxm yn z 222x lR ly mR mznR n 2221lmnRlxm yn z nzmylxR yzxR( , , )P x y zkij142536;uwvSSxyzvuwSSyzxwvuSSzxy )6,2,1(61 ScT142536uwvSlSmnRRRvuwSmSnlRRRwvuSnSlmRRR nzmylxR )(3345224262256122 zTyTxTtwzTyTxTtvzTyTxTtu )(4223322322231222223222222212222132212221122 RwRvRutwRwRvRutvRwRvRut

8、u 22211116655561516222l cm cn cmncnlclmc 2222332562434442336452546()()()l cm cn cmn ccnl cclm cc 22212211626454625()l cm cn cmn cc 2221331154635453613551456()()()l cm cn cmn ccnl cclm cc 22222662244244626222l cm cn cmncnlclmc22233554433343545222l cm cn cmncnlclmc (5) 000000000)(000000000)(lmlnmnnmlc

9、lmnlnmmnlij wvu, rqp,2222Rcteff effc)(,6 rwqvpurwqvpu 2222Rcteff )(4223322322231222223222222212222132212221122 RwRvRutwRwRvRutvRwRvRutu )(,6 rwqvpurwqvpu pututpRpceff222222rwqvRrRqRpRwRvRutu22132212221122132212221122131211rqppceff232221rqpqceff333231rqprceff)7(333231232212131211effeffeffrcrqpqcrqppc

10、rqp)(80332313232212131211 effeffeffccceffc),(;,32121 icvieff 001 nml, 444444111212121112121211000000000000cccccccccccc222111144121244131244()()()l cmn clm ccnl cc 231244222224411222334411()()()mn ccln cm clm cn c 001 nml,1111121300c 23224433440cc 0000000444411 effeffeffcccccc)7(333231232212131211eff

11、effeffrcrqpqcrqppcrqp,443442111cccccceffeffeff ),( ;,32121 icvieff 1001 1）0011111 rqpccveff,;, 0102 2）0104422 rqpccveff,;, 0013 3）1004433 rqpccveff,;, nmrBrAru )()1(0)(10100 nmrrrBrmAdrrdu)2(10mnmAnBr )3(1)(0000 nmrArBrArumnm.8)(,3000eVruAr )4()(2)(2011ruNruNEjjb ,40eVNE8eV42NE2)u(rb081)210(3AB )6(4

12、54102138)5(65613528AAAAB )/(9020AeVA )/(11809890656151100AeVB )7(0220VVUKV )8(2)(2 nmrBrANruNU)9(3rNV 00022000VdVdrrUVVVUVVVUKVVV )10(022200000VrUdVdrVrUVdVdrrrVr 2030rNdrdVr )11(31200rNdVdrr mnmnmrmArBnnmrmANrBnnrAmmNrU020202022)1(12)1()1(20 )12(2)1(122020220nmrmANnmrmANrUmmr )13()(18)(29103030204022mnrArmNrmnrmANrNKmm nmnrANruNEm0002)(2 )14(22000ENnNnEmnrAm 300rNV)15(9900300VEmnrNEmnK nmrBrAru )()17()16(nRmTrBurAu )