A new method of analytical calculation of multipoint correlation functions of a random structure, random stress and strain fields in unidirectional fibre- and-particle-reinforced composites (i.e. 2D and 3D matrix-inclusion composites) is developed on the basis of the proven theorems for geometric sense of conditional probabilities. Theorems on the derivative sign of conditional and unconditional correlation functions of the second, third and fourth orders at the points corresponding to zero values of the arguments, and on the local isotropy of random fields for 2D and 3D matrix-inclusion composites were formulated and proved.
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