The standard description of quasicrystal linear elasticity may produce non-physical results

In static setting, the standard formulation of quasicrystal linear elasticity, obtained neglecting phason diffusion in addition to inertia, implies - it is shown here - non-physical results for common choices of the constitutive tensors. Two examples of this type are presented: they involve a 2D-quasicrystal filling half-plane, subjected to in-plane concentrated forces. -- Highlights: → Standard quasicrystal linear elasticity may produce non-physical results. → There is, in fact, absence of phason field decay in unbounded domains. → We propose corrections to the standard theory.