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Abstract
In this paper, six new invariants associated with an anisotropic material made of one fiber family are calculated by presenting a systematic constructive and original approach. This approach is based on the development of mathematical techniques from the theory of invariants:•Definition of the material symmetry group.•Definition of the generalized Reynolds Operator.•Calculation of an integrity basis for invariant polynomials.•Comparison between the new (constructed) invariants and the classical ones.
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