(Solved): Determine longitudinal modulus, transverse modulus Inplane shear modulus and majorPoisson's ratio of ...
Determine longitudinal modulus, transverse modulus Inplane shear modulus and majorPoisson's ratio of your choice of long fiber composite material using micromechanics model. Use material properties of constituent materials listed in the appendix in your text book. You can choose appropriate fiber volume ratio of your own. Determine the aspect ratio(
(1)/(r)of fiber in the short fiber composite material of your own choice with length correction factor of (short fiber)/E1(long fiber]. Use the elastic stress transfer model (shear lag analysis) and material properties of constituent materials listed in the appendix of your text book. You can choose appropriate fiber volume ratio. Derive the transformation relationships in Eqs. (4.81) in your text book. Using the transformation relations of elastic constants, prove that
Ex(elastic modulus in the xdirection) attains its maximum value
E1at
\theta =0oand its minimum value
E2at
\theta =90owhen
\sigma 0=\sigma x=\sigma yx(\epsi x,\epsi y,dots)\sigma 0\tau 0xy\tau 0(E1,E2,dots)30opE1,E2G12E12[(E1E2)+v12].
(a) An off axis unidirectional lamina of your own choice of fiber orientation is under biaxial tension \sigma 0=\sigma x=\sigma y in the x and y- axes. Determine the strain components (\epsi x,\epsi y,dots) as a function of applied stress \sigma 0 and lamina properties (E1,E2, ... ). (b) If off axis unidirectional lamina of your own choice of fiber orientation is under pure shear \tau 0 in the x - and y axes. Determine the strain components as a function of applied stress \tau 0 and lamina properties (E1,E2,dots). (50)
A thin cylindrical pressure vessels made of unidirectional composite lamina with fiber orientations of 30o. If the thin cylindrical composite pressure vessels is loaded with internal pressure p and the hoop direction normal strain measured is Ehoop, determine lamina moduli E1,E2 and G12. You can choose your own values for vessel diameter (D), vessel thickness (h), internal pressure (p) and hoop direction normal strain ( Ehoop). (50)