Interrelations and Bounds on Moduli in Composite Materials.
ARMY MATERIALS AND MECHANICS RESEARCH CENTER WATERTOWN MASS
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REINFORCED COMPOSITES, FIBER COMPOSITESThe governing linear anisotropic elastic field equations for composite materials are reviewed. It is well known that applications of tensor formalism to the general anisotropic constitutive relations lead to invariant relations and transformation laws for compliances and stiffnesses. These results combined with considerations of material volume change, the restrictions associated with positive definite strain energy density, and the requirements of physically meaningful response can be used to derive bounds and interrelationships between the anisotropic moduli for the various classes of material symmetry. These theoretical requirements are compared to available experimentally determined materials constants for filamentary composites and the applicability of the different anisotropic constitutive relations is discussed. Author-PL
- Laminates and Composite Materials