Multifractal Mechanics of Field-Coupled Materials and Structures
Abstract
This research aims to extend prior fractal analysis of multifunctional materials to under- stand how the distribution of fractal material structures across length and time scales relate to multiphysical thermodynamic and kinetic properties. This will be done by formulating a self-consistent set of balance equations and constitutive relations using information theory to accommodate multifractality (distribution of fractals) to more accurately quantify realis- tic material complexity in a broad class of multifunctional materials and structures. Since Mandelbrot s inception of fractals (e.g., self-replicating structures across all length scales) this fascinating geometric property describes the structure of many natural systems (e.g., turbulence, lungs, complex terrain, arteries, etc.).
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 06, 2025
- Source ID
- FA95502510045
Entities
People
- William S Oates
Organizations
- Air Force Office of Scientific Research
- Florida A&M University
- United States Air Force