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Fall 2024
Structure dictates every property and behavior of a material. Concepts of structure used within the field of materials science and engineering (MSE) are diverse, ranging from quantum level phenomena, to the practical development of macroscale components. The sheer volume of variables, scales, and
of a functional framework for the analysis of aspects of materials systems on the basis of criteria of equivalence. If structure is more generally defined as that which is invariant across change, then equivalence is a natural determinate of shared structure. A multi-component structural equivalence
framework is proposed, composed of five different senses of structure: definitional, empirical, informational, categorical, and theoretical. The proposed structural equivalence framework organizes the different forms of structure which are drawn out of the multivariate analysis offered by each individual