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A continuous and aligned glass reinforced composite consists of 40 vol% glass fiber having E = 69 GPa and a polyester resin matrix, that when hardened, has E = 3.4 GPa.

a) Compute modulus of elasticity under longitudinal and transverse loading.
b) If the cross-sectional area is 250 mm2 and a stress of 50 MPa is applied longitudinally, compute magnitude of load carried by each the fiber and matrix phases.
c) Determine strain on each phase@qsywp@qsywp@qsywp
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2Â¥: Originally posted by kingspin at 2018-06-29 21:30:51
a) with different method, you can obtained different result on this. E1 with different methods should be very close, 29.658G with Mori-Tanaka and 29.676G with Double Inclusion. But the results on E2  ...

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a) with different method, you can obtained different result on this. E1 with different methods should be very close, 29.658G with Mori-Tanaka and 29.676G with Double Inclusion. But the results on E2 are always different. With Mori-Tanaka, the result is 7.126G, but 8.108G with Double Inclusion.
b) and c), for the RVE you mention, when the loading is along the fiber direction, the Strain11 in fiber and matrix should be the same with macro strain11. So the stress11 in fiber can be computed as 50/29658*69000. With Mori-Tanaka, the average von-Mises stress in matrix will be 5.674MPa, the average strain11 can be 1.686e-3 and average strain 22 = 33 can be -5.64e-4. With different model, the result may be different

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