Sample-Based Synthesis of Functionally Graded Material Structures

Liu, Xingchen; Shapiro, Vadim

doi:10.1115/1.4036552

Cited by 11 publications

(3 citation statements)

References 67 publications

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“…The Yeong-Torquato stochastic reconstruction procedure [36,37] is a popular algorithm to (re)construct digitized multi-phase media from correlation functions in physical (or direct) space. Liu and Shapiro have further employed advanced structure synthesis techniques that utilize a variety of microstructure descriptors in physical space to design functionally graded materials [38]. We note that there is a variety of other methods that have been developed to generate or reconstruct microstructures from limited structural information in the direct space; see Refs.…”

Section: Algorithm Descriptionmentioning

confidence: 99%

Designing disordered hyperuniform two-phase materials with novel physical properties

2018

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Heterogeneous materials consisting of different phases are ideally suited to achieve a broad spectrum of desirable bulk physical properties by combining the best features of the constituents through the strategic spatial arrangement of the different phases. Disordered hyperuniform heterogeneous materials are new, exotic amorphous matter that behave like crystals in the manner in which they suppress volume-fraction fluctuations at large length scales, and yet are isotropic with no Bragg peaks. In this paper, we formulate for the first time a Fourier-space numerical construction procedure to design at will a wide class of disordered hyperuniform two-phase materials with prescribed spectral densities, which enables one to tune the degree and length scales at which this suppression occurs. We demonstrate that the anomalous suppression of volume-fraction fluctuations in such two-phase materials endow them with novel and often optimal transport and electromagnetic properties. Specifically, we construct a family of phase-inversion-symmetric materials with variable topological connectedness properties that remarkably achieves a well-known explicit formula for the effective electrical (thermal) conductivity. Moreover, we design disordered stealthy hyperuniform dispersion that possesses nearly optimal effective conductivity while being statistically isotropic. Interestingly, all of our designed materials are transparent to electromagnetic radiation for certain wavelengths, which is a common attribute of all hyperuniform materials. Our constructed materials can be readily realized by 3D printing and lithographic technologies. We expect that our designs will be potentially useful for energy-saving materials, batteries and aerospace applications.

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Section: Algorithm Descriptionmentioning

confidence: 99%

Designing disordered hyperuniform two-phase materials with novel physical properties

2018

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“…Varying material properties (such as in FGMs) can be created and controlled by spatial variation of material structures. In the work [LS17], Liu and Shapiro propose to represent and control material structures using techniques for texture synthesis. Material structures are modeled with Markov Random Fields.…”

Section: Grid Interpolationmentioning

confidence: 99%

Modeling and Visualization of Multi-material Volumes

Fayolle¹,

McLoughlin²,

Sanchez³

et al. 2021

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The terminology of multi-material volumes is discussed. The classification of the multimaterial volumes is given from the spatial partitions, spatial domain for material distribution, types of involved scalar fields and types of models for material distribution and composition of several materials points of view. In addition to the technical challenges of multi-material volume representations, a range of key challenges are considered before such representations can be adopted as mainstream practice.

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“…FGLs by the variation of the cell definitions using a voxel-based approach. Liu and Shapiro (2016) developed a technique that allows the generation of a spatially varying structure of FGM to match the properties of CT scanned image or TO results. Panesar et al (2018) defined different latticing strategies for the direct realization of TO solutions and benchmarked these in terms of their performance such as load-bearing capability and the AM specific design related manufacturing considerations.…”

Section: Introductionmentioning

confidence: 99%

A new sensitivity-based mapping scheme for topology optimization of graded TPMS designs

Parlayan,

Ozdemir,

Gayir

et al. 2023

Int J Adv Manuf Technol

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Graded TPMS topologies display excellent mechanical and thermal properties. Design schemes targeting optimal performance exist, but final reconstructed designs still suffer from performance degradation. To overcome this challenge, we propose an automated design framework based on the integration of a homogenization-based topology optimization scheme and a new mapping strategy. Optimized designs obtained using a modified SIMP technique are reconstructed as graded gyroid structures. Unlike mapping strategies using relative density values prior to TPMS infill, for the first time we make use of readily available adjoint sensitivities for mapping optimal densities to graded gyroid structures. Results show that the proposed framework delivers performance preserving graded designs when compared to original optimized designs obtained using OPTISTRUCT and superior performance in comparison to standard density-based mapping methods. The resulting graded design is manufactured using additive manufacturing and three-point bending tests are performed confirming simulation results and demonstrating the applicability of presented design scheme.

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Sample-Based Synthesis of Functionally Graded Material Structures

Cited by 11 publications

References 67 publications

Designing disordered hyperuniform two-phase materials with novel physical properties

Designing disordered hyperuniform two-phase materials with novel physical properties

Modeling and Visualization of Multi-material Volumes

A new sensitivity-based mapping scheme for topology optimization of graded TPMS designs

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