F. dell'Isola, G. Sciarra, S. Vidoli, Generalized Hooke's Law for Isotropic Second Gradient Materials, Proceedings: Mathematical, Physical and ... Linear isotropic constitutive relations for stress ...

For a generalized three-dimensional stress field a tensor form of the above relation is appropriate to characterize the linear elastic response of a Hookian material: s ij = C ijkl e kl. Here, s ij is ...