The elastic tensor of given symmetry nearest to an anisotropic elastic tensor
The elastic tensor of given symmetry nearest to an anisotropic elastic tensor
Given an arbitrary tensor in an n-dimensional Euclidean space, it is required to find its 'nearest' tensor of some preassigned symmetry, i.e. the tensor of this symmetry which has the minimum invariant 'distance' from the given tensor.General theorems are given concerning the construction and properties of these nearest tensors.The theorems …