3,川 planes of mechanical symmetry Figure 13.1 Orthotropic Medium Application of Relation 13.1 above leads to Φ111=p1111;Φ1mm=p1122;④11mm=p1133 ①mmmm=p2222;Φunmm=p2233中mmmm=p3333 Φummm=p2323;④1m1m=p1313;④1n=p1212 and: Φ11Ⅱm=-p1123 However,because the mechanical properties in the coordinates 1,2,3 and I,II,III are identical,one has Φ11nm=p1123 from this: Φ11mm=91123=-p1123=0 In an analogous manner: p1mmm=0;Φmmnm=0 Φ1m=0;Φu1m=0;Φmm1m=0 Φam1m=0;④1m1m=0 finally: Φ1n=p1112;Φu1n=p2212;④mm1n=p3312 Φum11m=92313 2003 by CRC Press LLCApplication of Relation 13.1 above leads to and: However, because the mechanical properties in the coordinates 1,2,3 and I,II,III are identical, one has from this: In an analogous manner: finally: Figure 13.1 Orthotropic Medium FI I I I j1111; FI I II II j1122 == = ; FI I III III j1133 FII II II II j2222; FII II III III j2233 == = ; FIII III III III j3333 FII III II III j2323; FI III I III j1313 == = ; FI II I II j1212 FI I II III j1123 = – ; FI I II III = j1123 FI I II III == = j1123 –j1123 0 jII II II III = = 0; FIII III II III 0 FI I I III == = 0; FII II I III 0; FIII III I III 0 FII III I II = = 0; FI III I II 0 FI I I II j1112; FII II I II j2212 == = ; FIII III I II j3 3 12 FII III I III = j2313 TX846_Frame_C13 Page 260 Monday, November 18, 2002 12:29 PM © 2003 by CRC Press LLC