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The creep behavior equation of NASC can be expressed by Eq. (48).
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Because the strain in both fiber and interface is much smaller than that in matrix, only the strain in matrix is considered under compressive load. Then the stress-strain relationship of the third part in Fig.6 resulted from the resilience constitutive equation is in the form
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The stress-resilience equation of NASC is in the form
The detailed derivation of Eqs. (7)-(51) can be found elsewhere (Zhu, 2008).