Matrix laminates are obtained by iterative lamination of an already built composite with the same initial materials at each step of the procedure.
Structure of a second rank matrix laminate
After several steps, we end up with a structure in which the disconnected inclusions of one of the materials is wrapped into another; the first material forms the envelope (matrix), and the second forms the nuclei. (The nuclei can be arbitrary elongated). This structure mimics a composite with inclusions. The effective properties do not depend on the sequence of wrapping; only the relative fractions in the enforced directions are valid.
The symmetric matrix laminates structure has the same properties as the structure of coated spheres, .
An anisotropic matrix laminates structure has the same effective properties as a laminate from the outer material and a matrix laminates made of remaining part of this material with the nucleus from the other one.The effective properties of the structure are given by the formula:
The matrix laminates are known to have:
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