Two new recently proposed classes of topological phases, namely fractons and higher order insulators (HOTIs), share at least superficial similarities. The wide variety proposals for these phases calls a universal field theory description that captures their key characteristic physical phenomena. In this work, we construct multipolar response theories capture the essential features some insulato...

Ostrogradsky’s, Dirac’s, and Horowitz’s techniques in terms of higher-order theories gravity produce identical phase-space structures. The problem with these is manifested the case Gauss–Bonnet–dilatonic coupled action presence term, which case, classical correspondence cannot be established. Here, we explore another technique developed by Buchbinder their collaborators (BL) show that it also s...

In this research effort, the generalized warping and distortional problem of straight or horizontally curved composite beams of arbitrary cross section, loading and boundary conditions is presented. An inclined plane of curvature is considered. Additionally, the stiffness of diaphragmatic plates has been introduced in the formulation in order to compare with the case where rigid diaphragms are ...