The development of analytical theories and numerical models that capture with realism the time evolution of polarization domains in polycrystalline lead-containing and lead-free ferroelectric materials is being pursued. Specifically, variational principles are being built based on Landau-like free energy formulations and by introducing the adequate kinetic laws to describe the switching dynamics for materials in thin film and bulk form. The focus lies on integrating simulation and experiments to provide research and development tools to the community (e.g., oof and piezos3D), as it has become a key national priority through the Materials Genome Initiative. Here, we determine the effect of texture of ferroelectric, ferroelastic, and piezoelectric materials to drive the simulation work. The models are being validated directly through coordinated experiments to test their predictions, leading to the development of material microstructures, textures and compositions that enhance its macroscopic performance and reliability. Undergraduate, graduate and postdoctoral researchers we have established a thriving research community that extends to collaborations overseas and to open source applications.