The polymer matrix material in a linear viscoelastic, unidirectional composite material has a relaxation modulus that can be characterized by the Maxwell model in Figure 8.8. The fibers are assumed to be linear elastic. If the composite longitudinal strain-time history is as shown in Figure 8.31, express the composite longitudinal stress as a function of time.

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(a) k 1 (2) FIGURE 8.8 (b) S(t) (c) C(t) k t