This paper presents four different problems of ceramic matrix composites (C
MC) with matrix cracks. They include an evaluation of material constants an
d the stiffness matrix of a unidirectional lamina with bridging cracks. A n
onlinear stress-strain relationship for a lamina subjected to an increasing
uniaxial tension is derived accounting for the process of a continuous cra
ck density change. Forced and free vibrations of woven ceramic matrix beams
with matrix cracks are also considered by assumption that the dynamic stre
sses are sufficiently small to neglect their effect on the stiffness. Final
ly, theoretical foundations of thermography for a woven ceramic matrix beam
are discussed and a closed-form solution for the surface temperature prese
nted as a function of the matrix crack spacing and other parameters, (C) 20
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