Introduction to Metal Matrix Composites by Yoshinori Nishida

Author:Yoshinori Nishida
Language: eng
Format: epub
Publisher: Springer Japan, Tokyo

(5.21)

It is difficult to obtain an analytical solution of this differential equation, but numerical integration can be used.

The pressure distribution in the infiltrated region is obtained by substitution of C(t) from Eq. (5.18) into Eq. (5.19):

(5.22)

Equation (5.22) gives the pressure distribution in the infiltrated region when the infiltration front is located at position r f (t). This relationship shows that the pressure is independent of φ and K except for the threshold pressure P c which depends on φ.

When this process is applied industrially, the thickness of the preform is finite. When the infiltration front reaches the outer surface of the preform (r = r t ), the infiltration stops and the pressure distribution in the infiltrated region changes instantaneously. Supposing that the framework of the fibrous preform is sufficiently rigid and does not deform in the infiltrated region, the centrifugal force, dF c , which acts on the metal of the region r to r + dr in the preform, is given by:

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