During my PhD, I studied wave propagation in piezoelectric composite materials, including dielectric and semiconductor structures, with a focus on flexoelectric effects at the nanoscale. I developed mathematical models to analyse the influence of material heterogeneity, layer thickness, initial stress, and interface conditions on wave behaviour. Using techniques such as generalized Hooke’s law, Gauss’s equation, Snell’s law, and Green’s function methods, I derived dispersion and frequency relations, which were analysed and visualised using Mathematica and Origin.

My current research focuses on layered structures and their applications in advanced engineering materials. During my postdoctoral research at National Yang Ming Chiao Tung University (NYCU), I contributed to an NSTC-funded project on the fatigue and rutting life design of layered flexible pavements in Taiwan. My work involves developing mathematical models and organising databases for analysing the static and dynamic responses of layered pavements under surface loading.

I also supervised PhD and Master’s students in developing the MultiSmart3D Dynamic GUI, an advanced user-friendly platform for analysing and designing multi-layer flexible pavements. The software integrates mathematical techniques such as Fourier–Bessel series, Green’s functions, and the dual variable and position method to evaluate pavement performance under moving loads.

In parallel, my research explores layered structures composed of innovative materials, including piezoelectric, microstructured piezoelectric, and magneto-electro-elastic materials.