Determine if the following strains satisfy the compatibility equations (2.6.2): a. b. c. where A, B and

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Determine if the following strains satisfy the compatibility equations (2.6.2):

a. ex=Ay, ey = ez = 0,exy = (Ax+Bz)/2, eyz = Bxz+ Cy, ezx = C.x

b. ex=2Ax, ey = Bx, ez = Cxy, exy = By/2, eyz = Cxz/2, ezx = Cyz/2

c. ex = 2Ax, ey = By, ez = Cxz, exy = By, Cyz = Cx, ezx = Cyz

where A, B and C are constants.

Equation 2.6.2

2ex, 22ex - Hey - 20exy 2  + =   Pey, Pez az 2 +  - Jez  z Pez, Fex az 2x2 aex - (   z   Hey z   Feyz z 2. :(

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