Page 230 - Mechanics Analysis Composite Materials
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Chapter 4.  Mechanics of a composite layer     215













                             Fig. 4.90. Geometric parameters of a lattice structure.


            the layer plane) stiffness and strength are substantiaIly lower than the corresponding
            in-plane characteristics. To improve material properties under tension or compres-
            sion in the z-direction and in shear in the xz-and the p-planes (see, e.g., Fig. 4.18),
            material  should be additionally reinforced with fibers or yarns directed  along the
            z-axis or making some angles (less than the right angle) with this axis.
              A simple and natural way of such a triaxial reinforcement is provided  by imple-
            mentation  of  three-dimensionally  woven  or  braided  fabrics.  Three-dimensional
            weaving or braiding is a variant of the corresponding planar process wherein some
            yarns  are going  in  the  thickness  direction.  Another  way  involves assembling  of
            elementary fabric layers or unidirectional plies into a three-dimensionally reinforced
            structure by sewing or stitching. Depending on the size of the additional yarn and
            frequency  of  sewing  or  stitching,  transverse  mechanical  properties  of  the  two-
            dimensionally  reinforced composite can be improved  to a greater or lesser extent.
            The third way is associated with introduction of composite or metal pins parallel to
            the z-axis that can be inserted in the material before or after it is cured. The close to
            this effect is reached  by  the  so-called needle punching.  The needles puncture the
            fabric, break the fibers that compose the yarns, and direct the broken fibers through
            the layer thickness. Short fibers (or whiskers) may also be introduced into the matrix
            with which the fabrics or the systems of fibers are impregnated.
              Another class of spatially reinforced composites used  mainly in carbon-carbon
            technology  is  formed  by  bulk  materials  multi-dimensionally  reinforced  with  fine
            rectilinear  yarns  composed  of  carbon  fibers  bound  with  a  polymeric  or carbon
            matrix. The basic structural element of these materials is a parallelepiped shown in
            Fig. 4.91. The  simplest spatial  structure is the so-called 3D (three-dimensionally
            reinforced) in which reinforcing elements are directed along the ribs AAI,AB and AD
            of the basic parallelepiped in Fig. 4.9 1. This structure is shown in Fig. 4.92 (Vasiliev
            and Tarnopol’skii, 1990). More complicated 4D structure with reinforcing elements
            directed  along  the diagonals ACI,AIC,BDI and BID (see Fig. 4.91)  is shown  in
            Fig. 4.93 (Tarnopol’skii et al.,  1987). An example of this structure is presented  in
            Fig.  1.22. Cross-section of a 5D structure reinforced along diagonals AD1 ,A IDand
            ribs AAI,AB, AD is shown in  Fig. 4.94 (Vasiliev and Tarnopol’skii,  1990). There
            exist  structures  with  higher  numbers  of  reinforcing  directions.  For  example,
            combination  of a 4D structure (Fig. 4.93) with  reinforcements  along the ribs AB
            and AD (see Fig. 4.91) results in a 6D structure; addition of reinforcements in the
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