In this first paper of a series on the effective elasticproperties of alumina-zirconia composite ceramics the theoretical framework inwhich these properties arise, the linear theory of elasticity, is presented inan unconventional way. A rational continuum approach is chosen, but without theformal details necessary for a mathematically strict formulation. Using areferential (Lagrangian) formulation as long as useful, the constitutiveequation for the stress tensor is derived for isotropic as well as foranisotropic materials. Particular emphasis is laid on the distinction betweenthe (geometrical) linearization of the kinematic measures (strain tensors) andthe (physical) linearization of the constitutive equation (material model).Recent results occurring in the literature are mentioned. Some standard textbookformulae are recalled for the purpose of easy reference in the subsequent papersof this series.
