Influences of properties of magneto-electro-elastic materials of piezoelectric smart shells

Magneto-electro-elastic (MEE) materials are composed of piezoelectric (PE) phases, leading to the existence of a large number of interfaces between phases. Complex interface distributions bring a challenge for the dynamic fracture analysis of magneto-electro-elastic composites, as the available fracture mechanics approaches usually need to avoid material interfaces. This work establishes a dynamic domain-independent interaction integral (DII-integral) to extract the dynamic intensity factors (IFs) for MEE materials. Due to the properties of magneto-electro-elastic intelligent material in this paper and the coupling response of these materials to environmental and systemic changes and due to the increasing development of nanotechnology and materials science, the purpose of this paper is to investigate the mechanical and thermoplastics behavior of cylindrical micro-shells made of magneto-electro-elastic material. In other words, magneto-electro-elastic materials have a combination of properties of piezoelectric and magnetoelectric materials that these materials alone are not able to provide. Magneto-electro-elastic (MEE) materials are attracting extensive concern from the research and industrial communities owing to their unique advantages of the complex service environment and the coupled ability under mechanical, electric and magnetic loads. Therefore, the analysis of existing stresses in this type of structure to stabilize and increase their efficiency and useful life seems necessary. On the other hand, for these ceramic/polymer composite structures, a purposeful calibrated functional structure is proposed to eliminate the concentration and sudden change of stress at the junction of different layers, along with thermal resistance and low weight. Extraction of functionally calibrated shell differential equations using the first-order shear theory of shells made of magneto-electro-elastic intelligent material, using the stress-dependent theory of the modified stress pair with an independent longitudinal scale parameter, under arbitrary thermal conditions of displacement and thermal conductivity boundaries are an aspect of innovation that is addressed in this study.