2-DIMENSIONAL TENSOR FUNCTION REPRESENTATION FOR ALL KINDS OF MATERIAL SYMMETRY

All kinds of physically possible material symmetry in two-dimensional space were investigated in a recent work of Q.-S. Zheng and J. P. Boeh ler. In this paper, we establish the complete and irreducible represen tations with respect to every kind of material symmetry for scalar-, v ector-, and second-order tensor-valued functions in two-dimensional sp ace of any finite number of vectors and second-order tensors. These re presentations allow general invariant forms of physical and constituti ve laws of anisotropic materials to be developed in plane problems.