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For the differential element in Figure 6

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For the differential element in Figure 6.4 and the stress distributions given in Example 6.3, find the corresponding equation for the longitudinal composite modulus Ec1. Assume that the fiber and matrix materials are linear elastic and that the fiber length L is less than the ineffective length Li . material has total length e and longitudinal CTE αm. Develop a micromechanical equation for predicting the effective longitudinal thermal expansion coefficient, αeff, for the RVE, which has a total length L + e.