Dichotomy property of dispersion equation of guided waves propagating in anisotropic composite plates

Accurate prediction of dispersion curves for ultrasonic guided waves propagation in multi-layered composite laminates is crucial the deployment nondestructive testing procedures and structural health monitoring algorithms dedicated to aerospace materials. However, existing efforts mainly focused on finding ways build complex-valued equations (see transfer matrix method (TMM), global (GMM) stiffness (SMM) example) with little focus developing efficient stable numerical solving methods associated derived equations. In this paper, conditions under which are either real- or purely imaginary-valued (termed as dichotomy property) both single- plates. With such a property, can be efficiently numerically solved within real number field via standard bisection corrected phase change method. It thus now possible overcome issues frequently reported literature. Besides, parallel computing technique proposed paper improve computational efficiency traditional GMM. The methodology provides new framework solve stable, multipurpose, efficient.