Dislocation singularities in layered magneto-electro-elastic plates

A general and unified theory is formulated to investigate static time-harmonic field solutions induced by dislocation loops arrays in three-dimensional multilayered structures. Each homogeneous plate consists of an orthotropic magneto-electro-elastic material including nonlocal effects. While the constitutive relations with multi-phase coupling are treated means original Eringen model using a Helmholtz-type operator, expressions based on mathematically elegant computationally powerful Stroh formalism matrix form, consistently combined double Fourier series expansions dual variable position technique propagate extended among different layers systems. The represented discontinuity prescribed elastic displacement, electric potential, magnetic potential arbitrarily-located rectangular elliptical surfaces structures, while composed infinitely long, straight uniformly spaced parallel dislocations same local Burgers vectors. new first validated against existing frameworks limited elasticity these two types extrinsic intrinsic dislocations, subsequently applied analyze several unexplored effects dislocation-induced fields, namely anisotropy, interaction internal heterophase interfaces, coupling, core-spreading parameter, finite-valued driving forces, vibration frequency, stacking sequences. numerical outcomes indicate that each effect significant neglecting any one them leads erroneous prediction response, thus providing suitable route for design advanced fabrication devices energy harvesting applications.