MT-1620 al.2002 Results in 21 independent components of the elasticity tensor Along diagonal (6) Upper right half of matrix(15) [don 't worry about 2s Also note: 2's come out automatically. dont put them in g For example: 0,2=.Emr Er+ eum e 2 2E 2c12 These empg can be placed into 3 groups Extensional strains to extensional stresses 1111 E 1122 2222 1133 E33E23 e.g E 1122c22 Shear strains to shear stresses 1212-1213 1313=1323 2323-2312 Paul A Lagace @2001 Unit 4 -p. 12MIT - 16.20 Fall, 2002 Results in 21 independent components of the elasticity tensor • Along diagonal (6) • Upper right half of matrix (15) [don’t worry about 2’s] Also note: 2’s come out automatically…don’t put them in ε~ For example: σ12 = … E1212 ε12 + E1221 ε21 … = … 2E1212 ε12 … These Emnpq can be placed into 3 groups: • Extensional strains to extensional stresses E1111 E1122 E2222 E1133 E3333 E2233 e.g., σ11 = … E1122 ε22 … • Shear strains to shear stresses E1212 E1213 E1313 E1323 E2323 E2312 Paul A. Lagace © 2001 Unit 4 - p. 12