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

della Ventura, Nicolò Maria; Dong, Connie Q.; Messina, Sara A.; Collino, Rachel Renee; Balbus, Glenn H.; Donegan, Sean P.; Miller, Jonathan D.; Gianola, Daniel S.; Begley, Matthew R.

doi:10.1016/j.matdes.2024.112695

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

Journal Article · Mon Jan 22 00:00:00 UTC 2024 · Materials & Design

DOI:https://doi.org/10.1016/j.matdes.2024.112695· OSTI ID:2282179

della Ventura, Nicolò Maria ^[1]; Dong, Connie Q. ^[1]; ^[1]; ^[2]; ^[3]; ^[4]; Miller, Jonathan D. ^[4]; ^[1]; Begley, Matthew R. ^[1]

Univ. of California, Santa Barbara, CA (United States)
Univ. of California, Santa Barbara, CA (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Univ. of California, Santa Barbara, CA (United States); Lehigh Univ., Bethlehem, PA (United States)
Air Force Research Lab. (AFRL), Wright-Patterson AFB, OH (United States)

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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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Institute for Collaborative Biotechnologies (ICB); National Science Foundation (NSF); US Air Force Office of Scientific Research (AFOSR); USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); University of California

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2282179

Alternate ID(s):: OSTI ID: 3007510

Report Number(s):: LA-UR--21-27634; 10.1016/j.matdes.2024.112695

Journal Information:: Materials & Design, Journal Name: Materials & Design Vol. 238; ISSN 0264-1275

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (58)

The Impact of Size and Loading Direction on the Strength of Architected Lattice Materials Bauer, Jens; Schroer, Almut; Schwaiger, Ruth Advanced Engineering Materials, Vol. 18, Issue 9 https://doi.org/10.1002/adem.201600235	journal	July 2016
Microstructural statistics for fatigue crack initiation in polycrystalline nickel-base superalloys Stinville, J. C.; Lenthe, W. C.; Echlin, M. P. International Journal of Fracture, Vol. 208, Issue 1-2 https://doi.org/10.1007/s10704-017-0241-z	journal	September 2017
The Origin of Microstructural Diversity, Texture, and Mechanical Properties in Electron Beam Melted Ti-6Al-4V Al-Bermani, S. S.; Blackmore, M. L.; Zhang, W. Metallurgical and Materials Transactions A, Vol. 41, Issue 13 https://doi.org/10.1007/s11661-010-0397-x	journal	August 2010
Microstructure and Mechanical Properties of Wire and Arc Additive Manufactured Ti-6Al-4V Wang, Fude; Williams, Stewart; Colegrove, Paul Metallurgical and Materials Transactions A, Vol. 44, Issue 2 https://doi.org/10.1007/s11661-012-1444-6	journal	September 2012
Microstructures and Mechanical Properties of Ti6Al4V Parts Fabricated by Selective Laser Melting and Electron Beam Melting Rafi, H. K.; Karthik, N. V.; Gong, Haijun Journal of Materials Engineering and Performance, Vol. 22, Issue 12 https://doi.org/10.1007/s11665-013-0658-0	journal	August 2013
From Topology Optimization Design to Additive Manufacturing: Today’s Success and Tomorrow’s Roadmap Meng, Liang; Zhang, Weihong; Quan, Dongliang Archives of Computational Methods in Engineering, Vol. 27, Issue 3 https://doi.org/10.1007/s11831-019-09331-1	journal	March 2019
The topological design of multifunctional cellular metals Evans, A. G.; Hutchinson, J. W.; Fleck, N. A. Progress in Materials Science, Vol. 46, Issue 3-4 https://doi.org/10.1016/S0079-6425(00)00016-5	journal	January 2001
Optimized structure based representative volume element sets reflecting the ensemble-averaged 2-point statistics Niezgoda, Stephen R.; Turner, David M.; Fullwood, David T. Acta Materialia, Vol. 58, Issue 13 https://doi.org/10.1016/j.actamat.2010.04.041	journal	August 2010
Estimating the response of polycrystalline materials using sets of weighted statistical volume elements Qidwai, Siddiq M.; Turner, David M.; Niezgoda, Stephen R. Acta Materialia, Vol. 60, Issue 13-14 https://doi.org/10.1016/j.actamat.2012.06.026	journal	August 2012
A statistical sampling approach for measurement of fracture toughness parameters in a 4330 steel by 3-D femtosecond laser-based tomography Echlin, McLean P.; Pollock, Tresa M. Acta Materialia, Vol. 61, Issue 15 https://doi.org/10.1016/j.actamat.2013.06.023	journal	September 2013
Anisotropic tensile behavior of Ti–6Al–4V components fabricated with directed energy deposition additive manufacturing Carroll, Beth E.; Palmer, Todd A.; Beese, Allison M. Acta Materialia, Vol. 87 https://doi.org/10.1016/j.actamat.2014.12.054	journal	April 2015
Graded microstructure and mechanical properties of additive manufactured Ti–6Al–4V via electron beam melting Tan, Xipeng; Kok, Yihong; Tan, Yu Jun Acta Materialia, Vol. 97 https://doi.org/10.1016/j.actamat.2015.06.036	journal	September 2015
Effects of nodal fillets and external boundaries on compressive response of an octet truss Latture, Ryan M.; Rodriguez, Ricardo X.; Holmes, Larry R. Acta Materialia, Vol. 149 https://doi.org/10.1016/j.actamat.2017.12.060	journal	May 2018
Prediction of tensile stiffness and strength of Ti-6Al-4V using instantiated volume elements and crystal plasticity Chatterjee, Kamalika; Echlin, McLean P.; Kasemer, Matthew Acta Materialia, Vol. 157 https://doi.org/10.1016/j.actamat.2018.07.011	journal	September 2018
Micromechanical behavior and thermal stability of a dual-phase α+α’ titanium alloy produced by additive manufacturing de Formanoir, Charlotte; Martin, Guilhem; Prima, Frédéric Acta Materialia, Vol. 162 https://doi.org/10.1016/j.actamat.2018.09.050	journal	January 2019
In situ characterization of a high work hardening Ti-6Al-4V prepared by electron beam melting Sofinowski, K.; Šmíd, M.; Kuběna, I. Acta Materialia, Vol. 179 https://doi.org/10.1016/j.actamat.2019.08.037	journal	October 2019
Influence of cell shape on mechanical properties of Ti–6Al–4V meshes fabricated by electron beam melting method Li, S. J.; Xu, Q. S.; Wang, Z. Acta Biomaterialia, Vol. 10, Issue 10 https://doi.org/10.1016/j.actbio.2014.06.010	journal	October 2014
A review of topology optimization for additive manufacturing: Status and challenges Zhu, Jihong; Zhou, Han; Wang, Chuang Chinese Journal of Aeronautics, Vol. 34, Issue 1 https://doi.org/10.1016/j.cja.2020.09.020	journal	January 2021
Multi-objective design optimization of 3D micro-architected implants Garner, Eric; Wu, Jun; Zadpoor, Amir A. Computer Methods in Applied Mechanics and Engineering, Vol. 396 https://doi.org/10.1016/j.cma.2022.115102	journal	June 2022
Impact of node geometry on the effective stiffness of non-slender three-dimensional truss lattice architectures Portela, Carlos M.; Greer, Julia R.; Kochmann, Dennis M. Extreme Mechanics Letters, Vol. 22 https://doi.org/10.1016/j.eml.2018.06.004	journal	July 2018
Microstructure, static properties, and fatigue crack growth mechanisms in Ti-6Al-4V fabricated by additive manufacturing: LENS and EBM Zhai, Yuwei; Galarraga, Haize; Lados, Diana A. Engineering Failure Analysis, Vol. 69 https://doi.org/10.1016/j.engfailanal.2016.05.036	journal	November 2016
Representative volume: Existence and size determination Gitman, I. M.; Askes, H.; Sluys, L. J. Engineering Fracture Mechanics, Vol. 74, Issue 16 https://doi.org/10.1016/j.engfracmech.2006.12.021	journal	November 2007
The static and dynamic shear-tension mechanical response of AM Ti6Al4V containing spherical and prolate voids Fadida, Refael; Shirizly, Amnon; Rittel, Daniel International Journal of Engineering Science, Vol. 141 https://doi.org/10.1016/j.ijengsci.2019.05.003	journal	August 2019
Cranial reconstruction: 3D biomodel and custom-built implant created using additive manufacturing Jardini, André Luiz; Larosa, Maria Aparecida; Filho, Rubens Maciel Journal of Cranio-Maxillofacial Surgery, Vol. 42, Issue 8 https://doi.org/10.1016/j.jcms.2014.07.006	journal	December 2014
Periodic truss structures Zok, Frank W.; Latture, Ryan M.; Begley, Matthew R. Journal of the Mechanics and Physics of Solids, Vol. 96 https://doi.org/10.1016/j.jmps.2016.07.007	journal	November 2016
Microstructures and mechanical properties of electron beam-rapid manufactured Ti–6Al–4V biomedical prototypes compared to wrought Ti–6Al–4V Murr, L. E.; Esquivel, E. V.; Quinones, S. A. Materials Characterization, Vol. 60, Issue 2 https://doi.org/10.1016/j.matchar.2008.07.006	journal	February 2009
Evaluation of microstructural development in electron beam melted Ti-6Al-4V Safdar, A.; Wei, L. -Y.; Snis, A. Materials Characterization, Vol. 65 https://doi.org/10.1016/j.matchar.2011.12.008	journal	March 2012
Effect of build geometry on the β-grain structure and texture in additive manufacture of Ti6Al4V by selective electron beam melting Antonysamy, A. A.; Meyer, J.; Prangnell, P. B. Materials Characterization, Vol. 84 https://doi.org/10.1016/j.matchar.2013.07.012	journal	October 2013
Enhancing the tensile properties of EBM as-built thin parts: Effect of HIP and chemical etching Persenot, Théo; Martin, Guilhem; Dendievel, Rémy Materials Characterization, Vol. 143 https://doi.org/10.1016/j.matchar.2018.01.035	journal	September 2018
Effects of thickness and orientation on the small scale fracture behaviour of additively manufactured Ti-6Al-4V Dzugan, J.; Seifi, M.; Prochazka, R. Materials Characterization, Vol. 143 https://doi.org/10.1016/j.matchar.2018.04.003	journal	September 2018
Influence of defects on mechanical properties of Ti–6Al–4V components produced by selective laser melting and electron beam melting Gong, Haijun; Rafi, Khalid; Gu, Hengfeng Materials & Design, Vol. 86 https://doi.org/10.1016/j.matdes.2015.07.147	journal	December 2015
Prediction of non-propagating fretting fatigue cracks in Ti6Al4V sheet tested under pin-in-dovetail configuration: Experimentation and numerical simulation Anjum, Zeeshan; Qayyum, Faisal; Khushnood, Shahab Materials & Design, Vol. 87 https://doi.org/10.1016/j.matdes.2015.08.070	journal	December 2015
Effect of porosity variation strategy on the performance of functionally graded Ti-6Al-4V scaffolds for bone tissue engineering Zhang, Xiang-Yu; Fang, Gang; Xing, Lei-Lei Materials & Design, Vol. 157 https://doi.org/10.1016/j.matdes.2018.07.064	journal	November 2018
Systematic design of high-strength multicomponent metamaterials Momeni, Kasra; Mofidian, S. M. Mahdi; Bardaweel, Hamzeh Materials & Design, Vol. 183 https://doi.org/10.1016/j.matdes.2019.108124	journal	December 2019
Efficient optimization framework for L-PBF fatigue enhanced Ti6Al4V lattice component De Biasi, Raffaele; Murchio, Simone; Sbettega, Elia Materials & Design, Vol. 230 https://doi.org/10.1016/j.matdes.2023.111975	journal	June 2023
Static and dynamic shear-compression response of additively manufactured Ti6Al4V specimens with embedded voids Fadida, R.; Shirizly, A.; Rittel, D. Mechanics of Materials, Vol. 147 https://doi.org/10.1016/j.mechmat.2020.103413	journal	August 2020
Effects of processing on microstructure and mechanical properties of a titanium alloy (Ti–6Al–4V) fabricated using electron beam melting (EBM), part 1: Distance from build plate and part size Hrabe, Nikolas; Quinn, Timothy Materials Science and Engineering: A, Vol. 573 https://doi.org/10.1016/j.msea.2013.02.064	journal	June 2013
Effects of processing on microstructure and mechanical properties of a titanium alloy (Ti–6Al–4V) fabricated using electron beam melting (EBM), Part 2: Energy input, orientation, and location Hrabe, Nikolas; Quinn, Timothy Materials Science and Engineering: A, Vol. 573 https://doi.org/10.1016/j.msea.2013.02.065	journal	June 2013
Electron beam melted Ti–6Al–4V: Microstructure, texture and mechanical behavior of the as-built and heat-treated material de Formanoir, Charlotte; Michotte, Sébastien; Rigo, Olivier Materials Science and Engineering: A, Vol. 652 https://doi.org/10.1016/j.msea.2015.11.052	journal	January 2016
Effects of embedded spherical pore on the tensile properties of a selective laser melted Ti6Al4V alloy Meng, L. X.; Ben, D. D.; Yang, H. J. Materials Science and Engineering: A, Vol. 815 https://doi.org/10.1016/j.msea.2021.141254	journal	May 2021
Revival of pure titanium for dynamically loaded porous implants using additive manufacturing Wauthle, Ruben; Ahmadi, Seyed Mohammad; Amin Yavari, Saber Materials Science and Engineering: C, Vol. 54 https://doi.org/10.1016/j.msec.2015.05.001	journal	September 2015
Properties and applications of additively manufactured metallic cellular materials: A review du Plessis, Anton; Razavi, Seyed Mohammad Javad; Benedetti, Matteo Progress in Materials Science, Vol. 125 https://doi.org/10.1016/j.pmatsci.2021.100918	journal	April 2022
Material spatial randomness: From statistical to representative volume element Ostoja-Starzewski, Martin Probabilistic Engineering Mechanics, Vol. 21, Issue 2 https://doi.org/10.1016/j.probengmech.2005.07.007	journal	April 2006
Specific analysis of EBSD data to study the texture inheritance due to the β → α phase transformation Gey, N.; Humbert, M. Journal of Materials Science, Vol. 38, Issue 6, p. 1289-1294 https://doi.org/10.1023/A:1022842712172	journal	January 2003
Fiji: an open-source platform for biological-image analysis Schindelin, Johannes; Arganda-Carreras, Ignacio; Frise, Erwin Nature Methods, Vol. 9, Issue 7 https://doi.org/10.1038/nmeth.2019	journal	June 2012
Rationally designed meta-implants: a combination of auxetic and conventional meta-biomaterials Kolken, Helena M. A.; Janbaz, Shahram; Leeflang, Sander M. A. Materials Horizons, Vol. 5, Issue 1 https://doi.org/10.1039/C7MH00699C	journal	January 2018
A strategy to improve the work-hardening behavior of Ti–6Al–4V parts produced by additive manufacturing de Formanoir, Charlotte; Brulard, Alice; Vivès, Solange Materials Research Letters, Vol. 5, Issue 3 https://doi.org/10.1080/21663831.2016.1245681	journal	October 2016
Next-generation biomedical implants using additive manufacturing of complex, cellular and functional mesh arrays Murr, L. E.; Gaytan, S. M.; Medina, F. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, Issue 1917 https://doi.org/10.1098/rsta.2010.0010	journal	April 2010
Diffraction-based determination of single-crystal elastic constants of polycrystalline titanium alloys Heldmann, Alexander; Hoelzel, Markus; Hofmann, Michael Journal of Applied Crystallography, Vol. 52, Issue 5 https://doi.org/10.1107/S1600576719010720	journal	September 2019
Microstructure and mechanical properties of Ti‐6Al‐4V produced by electron beam melting of pre‐alloyed powders Facchini, Luca; Magalini, Emanuele; Robotti, Pierfrancesco Rapid Prototyping Journal, Vol. 15, Issue 3 https://doi.org/10.1108/13552540910960262	journal	May 2009
Dynamic Mechanical Behavior of Additively Manufactured Ti6Al4V With Controlled Voids Fadida, Refael; Rittel, Daniel; Shirizly, Amnon Journal of Applied Mechanics, Vol. 82, Issue 4 https://doi.org/10.1115/1.4029745	journal	April 2015
Dynamic Tensile Response of Additively Manufactured Ti6Al4V With Embedded Spherical Pores Fadida, Refael; Shirizly, Amnon; Rittel, Daniel Journal of Applied Mechanics, Vol. 85, Issue 4 https://doi.org/10.1115/1.4039048	journal	February 2018
Metal Additive Manufacturing: A Review of Mechanical Properties Lewandowski, John J.; Seifi, Mohsen Annual Review of Materials Research, Vol. 46, Issue 1 https://doi.org/10.1146/annurev-matsci-070115-032024	journal	July 2016
ASTM F3001-14: Standard Specification for Additive Manufacturing Titanium-6 Aluminum-4 Vanadium ELI (Extra Low Interstitial) with Powder Bed Fusion No authors listed American Society for Testing and Materials (ASTM) https://doi.org/10.1520/F3001-14	standard	October 2021
Experimental and numerical investigation of selective laser melting–induced defects in Ti–6Al–4V octet truss lattice material: the role of material microstructure and morphological variations El Elmi, Asma; Melancon, David; Asgari, Meisam Journal of Materials Research, Vol. 35, Issue 15 https://doi.org/10.1557/jmr.2020.75	journal	April 2020
High-speed nanoindentation mapping of a near-alpha titanium alloy made by additive manufacturing Liu, Zhiying; Zhang, Jiahui; He, Bei Journal of Materials Research, Vol. 36, Issue 11 https://doi.org/10.1557/s43578-021-00204-7	journal	April 2021
Design and Optimization of Lattice Structures: A Review Pan, Chen; Han, Yafeng; Lu, Jiping Applied Sciences, Vol. 10, Issue 18 https://doi.org/10.3390/app10186374	journal	September 2020
Auxetic Metamaterials for Biomedical Devices: Current Situation, Main Challenges, and Research Trends Lvov, Vladislav A.; Senatov, Fedor S.; Veveris, Alnis A. Materials, Vol. 15, Issue 4 https://doi.org/10.3390/ma15041439	journal	February 2022

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36 MATERIALS SCIENCE
42 ENGINEERING
Additive manufacturing
Effective properties
Homogenization
Material heterogeneity
Titanium alloy

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

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