Sample-Based Design of Functionally Graded Material Structures

TitleSample-Based Design of Functionally Graded Material Structures
Publication TypeConference Paper
Year of Publication2016
AuthorsLiu, X., & Shapiro V.
Published inProceedings of the ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Date Published08/2016

Spatial variation of material structures is a principal mecha-nism for creating and controlling spatially varying material properties in nature and engineering. While the spatially varyinghomogenized properties can be represented by scalar and vector fields on the macroscopic scale, explicit microscopic struc-tures of constituent phases are required to facilitate the visualization, analysis and manufacturing of functionally graded ma-terial (FGM). The challenge of FGM structure modeling lies in the integration of these two scales. We propose to represent andcontrol material properties of FGM at macroscale using the notion of material descriptors which include common geometric,statistical, and topological measures, such as volume fraction, correlation functions and Minkowski functionals. At microscale, the material structures are modeled as Markov random fields: we formulate the problem of design and (re)construction of FGMstructure as a process of selecting neighborhoods from a reference FGM, based on target material descriptors fields. The effectiveness of the proposed method in generating a spatially vary-ing structure of FGM with target properties is demonstrated bytwo examples: design of a graded bone structure and generating functionally graded lattice structures with target volume fraction fields.