Abstract
Crystals in the monoclinic system and composites reinforced with families of fibres in two non-orthogonal and mechanically non-equivalent directions are referred to as being clinotropic materials. In this paper, the complete and irreducible representations are established for clinotropic scalar-, vector-, second-order symmetric tensor- and second-order skew-symmetric tensor-valued functions of any finite number of second-order symmetric tensors, second-order skew-symmetric tensors and vectors. These representations constitute a rational basis for modelling the complex mechanical behaviour of clinotropic materials. As illustrative applications, the formulation of thermoelastic constitutive laws of clinotropic materials is developed.
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