Electromechanical coupling effects are known to significantly impact the physical properties of wurtzite (nitrides, ZnO, …) semiconductor nanostructure devices. However, there has not been to date a systematic study of the fully-coupled multiphysics problem and there are discrepancies within and between experimental and theoretical studies. We present a systematic study of various contributions to the problem for quantum-well structures. Some of the results obtained so far include a resolution of discrepancies among theoretical calculations and the original study of dynamic and nonlinear piezoelectric effects.