Morpho-synthetic continua with long range spatial dependence as energy harvesting materials

This project aims to develop a comprehensive quantitative theory of coupled fields with long-range spatial dependence, leveraging thermodynamics to deduce constitutive laws across a wide array of materials.

By integrating thermodynamic principles and homogenization theory, the goal is to enhance our understanding and control over material behavior, particularly in intricate systems like structural colors, organ forms, and anomalous diffusion.The approach involves establishing a rigorous theoretical framework rooted in thermodynamic laws and employing a generalized Coleman-Noll procedure to derive constitutive laws.

Subsequently, these laws will be refined using homogenization techniques, considering factors such as morphology, volume fraction, and the size of the representative volume element—a novel inclusion in homogenization theory, which typically can solely focus on morphology and volume fraction.Through this interdisciplinary approach, the project aims to unlock insights into complex material behaviors and pave the way for innovative applications in materials science and engineering.