Homogenization of size-dependent multiphysics behavior of nanostructured piezoelectric composites with energetic surfaces

Surface piezoelectricity considering the extended Gurtin--Murdoch coherent interface model has been incorporated into composite cylinder assemblage (CCA), generalized self-consistent method (GSCM), as well multiphysics finite-element micromechanics (MFEM), for simulating size-dependent response of nanoporous materials wherein stress and electric displacement prevail. In case CCA/GSCM model, is implemented through Young--Laplace equations that govern variation surface displacement. Three loading modes are utilized to identify closed-form solutions a complete set Hill's moduli, piezoelectric dielectric constants. MFEM, directly additional energies associated with elements stretch along interface. order assess accuracy developed computational approaches, Kirsch problem under far-field transverse recovering concentration in vicinity pore boundary. Homogenized properties generated critically examined broad variety parameters dimensions, predicted by MFEM methods. It shown all effective these two families homogenization techniques similar except shear moduli where they show marked differences reminiscent what observed absence electricity.