Time‐harmonic analysis of cracks in functionally graded piezoelectric materials

Abstract

Modern piezoelectric structures offer certain performance advantages over conventional ones due to their capability of converting electrical energy into mechanical energy and vice versa. In recent years composites with a continuously change of the material properties are getting increasing attention in advanced engineering applications. An important advantage over conventional laminates is that interfaces and stress discontinuities are avoided. Piezoelectric composites are very brittle and have a low fracture toughness. The analysis of functionally graded materials (FGMs) is mathematically complex and analytical solutions are possible only for very simple geometry and loading conditions. Therefore, efficient numerical methods are needed to solve more general problems.

Investigation of the semi-strip’s stress state in the case of steady-state oscillations

“…У [3] було розглянуто напру-жено-деформівний стан середовища, що містить тріщини та жорсткі включення, у динамічних постановках. Метод однорідних розв'язків запропоновано у [4] [5].…”