Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial design

The effective design of metallic metamaterials, characterized by interconnected struts or 'lattices,' hinges on the ability to predict strut and strut intersection ('node') responses. This is critical for predicting the macroscopic properties of structures comprised of thousands...

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Main Authors: Nicolò Maria della Ventura, Connie Q. Dong, Sara A. Messina, Rachel R. Collino, Glenn H. Balbus, Sean P. Donegan, Jonathan D. Miller, Daniel S. Gianola, Matthew R. Begley
Format: Article
Language:English
Published: Elsevier 2024-02-01
Series:Materials & Design
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0264127524000674
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author Nicolò Maria della Ventura
Connie Q. Dong
Sara A. Messina
Rachel R. Collino
Glenn H. Balbus
Sean P. Donegan
Jonathan D. Miller
Daniel S. Gianola
Matthew R. Begley
author_facet Nicolò Maria della Ventura
Connie Q. Dong
Sara A. Messina
Rachel R. Collino
Glenn H. Balbus
Sean P. Donegan
Jonathan D. Miller
Daniel S. Gianola
Matthew R. Begley
author_sort Nicolò Maria della Ventura
collection DOAJ
description The effective design of metallic metamaterials, characterized by interconnected struts or 'lattices,' hinges on the ability to predict strut and strut intersection ('node') responses. This is critical for predicting the macroscopic properties of structures comprised of thousands of struts. Computationally efficient beam descriptions, defined by strut properties like cross-sectional area, modulus, and yield stress, can significantly expedite the prediction of lattice structures and ultimately enable topology optimization. This paper provides a comprehensive examination of the properties of electron-beam melted three-dimensional printed struts and their 'nodes'—four intersecting struts. The findings elucidate the efficacy of various strategies for defining effective properties that accurately capture mechanical response. The study reveals that using a single set of effective properties can introduce inconsistencies between strut stiffness, peak load, and critical displacement. Stiffness correlates with averaged cross-sectional areas, while the peak load capacity correlates more closely with minimum inscribed cross-sectional areas. Analysis of nodes indicates that the interaction of surface defects and heterogeneity within the node strongly influences multi-strut response. Data from CT scans, EBSD scans, and nanoindentation maps highlight spatial variations comparable to the strut diameter, posing a significant challenge in defining effective homogenized properties. This study emphasizes the need for future efforts to integrate statistical property distributions with high throughput simulations to overcome the difficulty in defining a representative volume element (RVE) at the strut scale.
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spelling doaj.art-55abccd9f25e414e9b20871a6b970d042024-02-21T05:24:07ZengElsevierMaterials & Design0264-12752024-02-01238112695Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial designNicolò Maria della Ventura0Connie Q. Dong1Sara A. Messina2Rachel R. Collino3Glenn H. Balbus4Sean P. Donegan5Jonathan D. Miller6Daniel S. Gianola7Matthew R. Begley8Department of Materials, The University of California, Santa Barbara, Santa Barbara, CA 93106, USA; Corresponding authors at: Department of Mechanical Engineering, The University of California, Santa Barbara, Santa Barbara, CA 93106, USA.Department of Mechanical Engineering, The University of California, Santa Barbara, Santa Barbara, CA 93106, USADepartment of Mechanical Engineering, The University of California, Santa Barbara, Santa Barbara, CA 93106, USADepartment of Mechanical Engineering, The University of California, Santa Barbara, Santa Barbara, CA 93106, USA; Materials Science & Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USADepartment of Materials, The University of California, Santa Barbara, Santa Barbara, CA 93106, USAAir Force Research Laboratory, Materials and Manufacturing Directorate, Wright-Patterson Air Force Base, OH 45433, USAAir Force Research Laboratory, Materials and Manufacturing Directorate, Wright-Patterson Air Force Base, OH 45433, USADepartment of Materials, The University of California, Santa Barbara, Santa Barbara, CA 93106, USADepartment of Materials, The University of California, Santa Barbara, Santa Barbara, CA 93106, USA; Department of Mechanical Engineering, The University of California, Santa Barbara, Santa Barbara, CA 93106, USA; Corresponding authors at: Department of Mechanical Engineering, The University of California, Santa Barbara, Santa Barbara, CA 93106, USA.The effective design of metallic metamaterials, characterized by interconnected struts or 'lattices,' hinges on the ability to predict strut and strut intersection ('node') responses. This is critical for predicting the macroscopic properties of structures comprised of thousands of struts. Computationally efficient beam descriptions, defined by strut properties like cross-sectional area, modulus, and yield stress, can significantly expedite the prediction of lattice structures and ultimately enable topology optimization. This paper provides a comprehensive examination of the properties of electron-beam melted three-dimensional printed struts and their 'nodes'—four intersecting struts. The findings elucidate the efficacy of various strategies for defining effective properties that accurately capture mechanical response. The study reveals that using a single set of effective properties can introduce inconsistencies between strut stiffness, peak load, and critical displacement. Stiffness correlates with averaged cross-sectional areas, while the peak load capacity correlates more closely with minimum inscribed cross-sectional areas. Analysis of nodes indicates that the interaction of surface defects and heterogeneity within the node strongly influences multi-strut response. Data from CT scans, EBSD scans, and nanoindentation maps highlight spatial variations comparable to the strut diameter, posing a significant challenge in defining effective homogenized properties. This study emphasizes the need for future efforts to integrate statistical property distributions with high throughput simulations to overcome the difficulty in defining a representative volume element (RVE) at the strut scale.http://www.sciencedirect.com/science/article/pii/S0264127524000674Additive manufacturingTitanium alloyHomogenizationMaterial heterogeneityEffective properties
spellingShingle Nicolò Maria della Ventura
Connie Q. Dong
Sara A. Messina
Rachel R. Collino
Glenn H. Balbus
Sean P. Donegan
Jonathan D. Miller
Daniel S. Gianola
Matthew R. Begley
Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial design
Materials & Design
Additive manufacturing
Titanium alloy
Homogenization
Material heterogeneity
Effective properties
title Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial design
title_full Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial design
title_fullStr Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial design
title_full_unstemmed Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial design
title_short Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial design
title_sort heterogeneity in millimeter scale ti 6al 4v lattice primitives challenges in defining effective properties for metamaterial design
topic Additive manufacturing
Titanium alloy
Homogenization
Material heterogeneity
Effective properties
url http://www.sciencedirect.com/science/article/pii/S0264127524000674
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