Electro-mechanical coupling isogeometric analysis of static characteristics in piezoelectric composite materials based on asymptotic homogenization method

Abstract

Accurate mechanical analysis is essential for reliable utilization of piezoelectric composite materials (PCMs). Isogeometric analysis (IGA) of PCMs (termed PCMIGA) based on the asymptotic homogenization method (AHM) is presented in this study and employed to investigate the static mechanical characteristics of PCMs. PCMIGA provides accurate curve representation and shorter preprocessing time, and thus demonstrates both precision and efficiency. First, AHM is utilized to calculate the effective parameters of PCMs at different volume fractions. Next, these effective parameters are combined with the basic equations and boundary conditions of PCMs to derive equations of PCMIGA based on AHM. Finally, the results from several numerical examples are compared with the reference solution to validate the convergence and precision. PCMIGA is proven to be a reliable and accurate method for analyzing the mechanical properties of PCMs.