Isogeometric analysis of two-dimensional piezoelectric structures

Abstract

The isogeometric analysis (IGA) that integrates Computer Aided Design (CAD) and Computer Aided Engineering (CAE) is found so far the effectively numerical tool for the analysis of a variety of practical problems. In this paper, the authors develop further the NURBS based isogeometric analysis framework for piezoelectric structures. The method employs the NURBS basis functions in both geometry representation and analysis. The main advantages of the present method are capable of handling the exact geometry of conic sections and making the flexibility of refinement and degree elevation with an arbitrary continuity of basic functions. These features results in high accuracy of approximate solutions for practical applications, especially piezoelectric problems. Three numerical examples are provided to validate excellent performance of the present method.