The relation between the longitudinal stress {sigma} and the transverse strain {var_epsilon}{sub tr} during monotonic tension testing of unidirectional fiber toughened ceramic matrix composites (UD-CMCs) has been studied experimentally and theoretically by several authors. Matrix cracking and interface debonding generally causes {var_epsilon}{sub tr} to increase or to become positive. Recently, this has been theoretically explained by a model taking into account the Poisson contraction of fiber and matrix, the redistribution of mechanical stress and the relief of residual thermal strain upon damage development, and the built-up of compressive radical stresses at the interface caused by the radial interfacial mismatch after interface debonding and sliding. In this paper, the {var_epsilon}{sub tr} response of a series of Hi-Nicalon (SiC) fiber reinforced silicon nitride matrix composites is reported and described by a previously developed model. This paper focuses on the extension of the model to composites with a radial gap {delta} after interface debonding, which was necessary to model the present CMC materials.
Read full abstract