10.4 SHEAR MODULUS Ga Load application that can be used to evaluate the shear modulus G is shown schematically in the Figure 10.3,both with the angular deformations that are produced.The state of stress,identical for both the matrix and fiber material,can be written as: 0 Tur Σ→ 0 0 10 0 0 The corresponding strains can be written as: 0 Et → Ett 0 0 @ or① 10 0 Using the constitutive equation,one has Et= 1+v E Tu= 2G then: 碧 Ya= Also,from Figure 10.3,one has Ye,(em+e）=Yem+Ye @+① m e → e 2 Figure 10.3 Shear modulus Ga 2003 by CRC Press LLC10.4 SHEAR MODULUS G
t Load application that can be used to evaluate the shear modulus G
t is shown schematically in the Figure 10.3, both with the angular deformations that are produced. The state of stress, identical for both the matrix and fiber material, can be written as: The corresponding strains can be written as: Using the constitutive equation, one has then: Also, from Figure 10.3, one has Figure 10.3 Shear modulus Gt S 0 t
t 0 t
t 0 0 0 00 Æ e m or f 0 e
t 0 e
t 0 0 0 00 Æ e
t 1 + n E ------------t
t t
t 2G = = ------- g
t t
t G = ----- g
t m f + em + ef ( ) g
tem m g
tef f = + TX846_Frame_C10 Page 218 Monday, November 18, 2002 12:25 PM © 2003 by CRC Press LLC