By Lauge Fuglsang Nielsen
This ebook bargains with the mechanical and actual habit of composites as prompted by means of composite geometry. The monograph presents a accomplished creation for researchers and scholars to fashionable composite fabrics learn with a distinct emphasis at the impression of geometry to fabrics homes. Composite fabrics permits the reader to a greater realizing of the habit of ordinary composites, development of such fabrics, and layout of latest fabrics with prescribed properties.
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Extra resources for Composite materials: properties as influenced by phase geometry
Example text
Typical eigenstrains are hygro-thermal strains like shrinkage, swelling and thermal expansion that develop in solids without external forces and surface restraint. Another example of eigenstrain is strain developed during phase transformation such as in solidification of a liquid impregnant. The analysis is a modified version of similar analysis made by the author in [56–58]. 3) describes the stressstrain state in a composite subjected to external load. Stresses and strains are volume averages (leaving no averages of deviatoric stress and deviatoric strain).
1. In fact, the results subsequently presented in the following summary, Sect. 3, are complete duplicates of results obtained in Sect. 1 except that bulk properties are replaced with shear properties. This means that the bulk stiffness ratio nk is replaced with the shear stiffness ratio ng = GP /GS , the bulk Poisson parameters κS , κP are replaced with the shear Poisson parameters γS , γP (see Appendix A), and the bulk geo-function θk is replaced with the shear geofunction θg . The modified bulk stiffness ratio Nk is at the same time replaced with the modified shear stiffness ratio Ng = ng γP /γS .
2 are consistent with the concept of composite materials being isotropic. At this time we do not know more about stress. Stress prediction still has to be related to type of composite as classified in Chap. 2. As a first step to establish such relationship we observe that θk obviously is a function of not only nk , vP , vS , but also of the more detailed geometry of phase P and phase S. 6). 3) claiming that the first expression (σP ) must equal the latter expression (σS ) when subscripts P and S are interchanged (including c ⇔ 1 − c).