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Design: isotropic vs. orthotropic lamina. In-class exercise CTE problems Material replacement example. Coefficient of thermal expansion. This is an important design element, particularly for material replacement opportunities
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Coefficient of thermal expansion • This is an important design element, particularly for material replacement opportunities • The composite part is likely to have different expansion and contraction strains than the non-composite original • We expect differences in temperature to induce strains and stresses • We expect changes in stresses to lead to different dimensional changes in the part • These changes will affect the overall product design for the expected environmental conditions
P3.29 • A unidirectional continuous fiber lamina contains carbon fibers in an epoxy matrix. The fiber volume fraction is 0.55. the coefficient of longitudinal thermal expansion for the lamina is measured as -0.61e-06 per C and that of the matrix is 54e-06 per C. Estimate the coefficient of thermal expansion for the fiber. The longitudinal modulus of the lamina is 163.3 GPa and the matrix modulus is 3.5 GPa. • plan your solution approach
Problem P3.30 • Parameters • axial and transverse thermal expansion, vf = 0.60, 0 degree unidirectional Spectra 900 fiber-reinforced epoxy composites: • -9e-06; 100e-06 • n12 = 0.32; Em=2.8 Gpa; nm = 0.38; a=60e-06. • Estimate the Poisson’s ratio of the fiber • Estimate afl, afr • Find vf for which the CTE is zero • Plan your solution approach
Example 3.5Material replacement problem • A thin plate is subjected to: sxx = 1 Gpa; syy=0.5GPa; • Compute the strains in the x and y directions if the plate is: • Steel • 0 degree boron-epoxy composite • 45 degree boron-epoxy composite • Plan your solution strategy