HOOKE’S LAW AS A LIE GROUP
We propose a classification of anisotropic linear elastic materials with residual deformations in this paper. We assume that the material constants depend on the residual strain. We put each generalized Hooke law in correspondence with a certain point Lie group, and to it in turn the Lie algebra. Each two-dimensional subalgebra of this algebra corresponds to some experiment on complex loading, which allows us to determine the dependence of material constants on residual deformations. This allows for the classification of such materials and break them down into a reasonably larger number of classes.