Building the Strength Criterion of Carbon-Carbon Composite Material of the 4DL Type Under Triaxial Stress

Three-dimensional reinforced carbon-carbon composite materials are used for manufacturing products that are usually subjected to triaxial stress during operation. Thus, the development of the anisotropic strength criterion for this class of materials under triaxial stress becomes an important task. Carbon-carbon composite material of the 4DL type has a frame consisting of four families of straight-lined reinforced elements. The structural analysis shows that with regards to the symmetry properties, the material belongs to the hexagonal class D₆. The tensor-polynomial and invariant-polynomial formulations of the anisotropic strength criterion are analysed. It is shown that for the materials of the D_n (4 < n < ∞) symmetry class, the tensor-polynomial criterion of the second degree does not describe strength properties. For carbon-carbon composite material of the 4DL type, the degree of this criterion should not be lower than four. The authors specify the requirements to the invariant-polynomial formulation of the strength criterion that are determined by the structure symmetry of the carbon-carbon composite material of the 4DL type.

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