The Role of Unit-Cell Topology in Modulating the Compaction Response of Additively Manufactured Cellular Materials using Simulations and Validation Experiments

Nakarmi, Sushan; Kim, Jihyeon; Bezek, Lindsey B.; Leiding, Jeffery; Lee, Kwan-Soo; Daphalapurkar, Nitin P.

doi:10.1088/1361-651X/ad472f

The Role of Unit-Cell Topology in Modulating the Compaction Response of Additively Manufactured Cellular Materials using Simulations and Validation Experiments

Journal Article · Mon Jun 10 00:00:00 EDT 2024 · Modelling and Simulation in Materials Science and Engineering

DOI:https://doi.org/10.1088/1361-651X/ad472f· OSTI ID:2426737

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Los Alamos NatiLos Alamos National Laboratory (LANL), Los Alamos, NM (United States)onal Laboratory

Additive manufacturing has enabled a transformational ability to create cellular structures (or foams) with tailored topology. Compared to their monolithic polymer counterparts, cellular structures are potentially suitable for systems requiring materials with high specific energy-absorbing capability to provide enhanced damping. In this work, we demonstrate the utility of controlling unit-cell topology with the intent of obtaining a desired stress–strain response and energy density. Using mesoscale simulations that resolve the unit-cell sub-structures, we validate the role of unit-cell topology in selectively activating a buckling mode and thereby modulating the characteristic stress–strain response. Simulations incorporate a linear viscoelastic constitutive model and a hyperelastic model for simulating large deformation of the polymer under both tension and compression. Simulated results for nine different cellular structures are compared with experimental data to gain insights into three different modes of buckling and the corresponding stress–strain response.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2426737

Alternate ID(s):: OSTI ID: 2345852

Report Number(s):: LA-UR--24-20019

Journal Information:: Modelling and Simulation in Materials Science and Engineering, Journal Name: Modelling and Simulation in Materials Science and Engineering Journal Issue: 5 Vol. 32; ISSN 0965-0393; ISSN 1361-651X

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (61)

Iron Based Cellular Structures – Status and Prospects Stephani, G.; Andersen, O.; Göhler, H. Advanced Engineering Materials, Vol. 8, Issue 9 https://doi.org/10.1002/adem.200600078	journal	September 2006
Compaction Through Buckling in 2D Periodic, Soft and Porous Structures: Effect of Pore Shape Overvelde, J. T. B.; Shan, S.; Bertoldi, K. Advanced Materials, Vol. 24, Issue 17 https://doi.org/10.1002/adma.201104395	journal	March 2012
Polyurethanes: Versatile Materials and Sustainable Problem Solvers for Today’s Challenges Engels, Hans-Wilhelm; Pirkl, Hans-Georg; Albers, Reinhard Angewandte Chemie International Edition, Vol. 52, Issue 36 https://doi.org/10.1002/anie.201302766	journal	July 2013
A preliminary study of cushion properties of a 3D printed thermoplastic polyurethane Kelvin foam Ge, Changfeng; Priyadarshini, Lakshmi; Cormier, Denis Packaging Technology and Science, Vol. 31, Issue 5 https://doi.org/10.1002/pts.2330	journal	June 2017
The effect of topology on the quasi-static and dynamic behaviour of SLM AlSi10Mg lattice structures Maconachie, Tobias; Leary, Martin; Tran, Phuong The International Journal of Advanced Manufacturing Technology, Vol. 118, Issue 11-12 https://doi.org/10.1007/s00170-021-08203-y	journal	October 2021
Numerical implementation of an elastic-viscoplastic constitutive model to simulate the mechanical behaviour of amorphous polymers Bernard, C. A.; Correia, J. P. M.; Ahzi, Said International Journal of Material Forming, Vol. 10, Issue 4 https://doi.org/10.1007/s12289-016-1305-8	journal	July 2016
Deformation and energy absorption diagrams for cellular solids Maiti, S. K.; Gibson, L. J.; Ashby, M. F. Acta Metallurgica, Vol. 32, Issue 11 https://doi.org/10.1016/0001-6160(84)90177-9	journal	November 1984
Effective properties of the octet-truss lattice material Deshpande, V. S.; Fleck, N. A.; Ashby, M. F. Journal of the Mechanics and Physics of Solids, Vol. 49, Issue 8 https://doi.org/10.1016/S0022-5096(01)00010-2	journal	August 2001
Characterization of polymeric structural foams under compressive impact loading by means of energy-absorption diagram Avalle, M.; Belingardi, G.; Montanini, R. International Journal of Impact Engineering, Vol. 25, Issue 5 https://doi.org/10.1016/S0734-743X(00)00060-9	journal	May 2001
Study of shrinkage strains in a stereolithography cured acrylic photopolymer resin Karalekas, D.; Aggelopoulos, A. Journal of Materials Processing Technology, Vol. 136, Issue 1-3 https://doi.org/10.1016/S0924-0136(03)00028-1	journal	May 2003
Foam topology: bending versus stretching dominated architectures Deshpande, V. S.; Ashby, M. F.; Fleck, N. A. Acta Materialia, Vol. 49, Issue 6 https://doi.org/10.1016/S1359-6454(00)00379-7	journal	April 2001
Energy absorption characteristics of metallic triply periodic minimal surface sheet structures under compressive loading Zhang, Lei; Feih, Stefanie; Daynes, Stephen Additive Manufacturing, Vol. 23 https://doi.org/10.1016/j.addma.2018.08.007	journal	October 2018
Design and optimization of solid lattice hybrid structures fabricated by additive manufacturing Dong, Guoying; Tang, Yunlong; Li, Dawei Additive Manufacturing, Vol. 33 https://doi.org/10.1016/j.addma.2020.101116	journal	May 2020
Design and additive manufacturing of closed cells from supportless lattice structure Kumar, Ajeet; Collini, Luca; Daurel, Alix Additive Manufacturing, Vol. 33 https://doi.org/10.1016/j.addma.2020.101168	journal	May 2020
Effect of density and unit cell size grading on the stiffness and energy absorption of short fibre-reinforced functionally graded lattice structures Plocher, János; Panesar, Ajit Additive Manufacturing, Vol. 33 https://doi.org/10.1016/j.addma.2020.101171	journal	May 2020
Analysis of additively manufactured (3D printed) dual-material auxetic structures under compression Johnston, Ross; Kazancı, Zafer Additive Manufacturing, Vol. 38 https://doi.org/10.1016/j.addma.2020.101783	journal	February 2021
Buckling developed in 3D printed PLA cuboidal samples under compression: Analytical, numerical and experimental investigations Torre, Roberto; Brischetto, Salvatore; Dipietro, Ivan Rocco Additive Manufacturing, Vol. 38 https://doi.org/10.1016/j.addma.2020.101790	journal	February 2021
Elastically-isotropic open-cell minimal surface shell lattices with superior stiffness via variable thickness design Ma, Qingping; Zhang, Lei; Ding, Junhao Additive Manufacturing, Vol. 47 https://doi.org/10.1016/j.addma.2021.102293	journal	November 2021
Mechanical behaviors of multidimensional gradient gyroid structures under static and dynamic loading: A numerical and experimental study Lu, Chenxi; Zhang, Yufeng; Aziz, Muhammad Additive Manufacturing, Vol. 59 https://doi.org/10.1016/j.addma.2022.103187	journal	November 2022
A brief discussion on advances in polyurethane applications Das, Abhijit; Mahanwar, Prakash Advanced Industrial and Engineering Polymer Research, Vol. 3, Issue 3 https://doi.org/10.1016/j.aiepr.2020.07.002	journal	July 2020
Porous scaffold design using the distance field and triply periodic minimal surface models Yoo, Dong J. Biomaterials, Vol. 32, Issue 31 https://doi.org/10.1016/j.biomaterials.2011.07.019	journal	November 2011
The implementation of a visco-hyperelastic numerical material model for simulating the behaviour of polymer foam materials Briody, Conor; Duignan, Barry; Jerrams, Steve Computational Materials Science, Vol. 64 https://doi.org/10.1016/j.commatsci.2012.04.012	journal	November 2012
Impact of filler composition on mechanical and dynamic response of 3-D printed silicone-based nanocomposite elastomers Talley, Samantha J.; Branch, Brittany; Welch, Cynthia F. Composites Science and Technology, Vol. 198 https://doi.org/10.1016/j.compscitech.2020.108258	journal	September 2020
Multiaxial mechanical characterization of additively manufactured open-cell Kelvin foams Wang, Erdong; Chen, Chao; Zhang, Guangzhou Composite Structures, Vol. 305 https://doi.org/10.1016/j.compstruct.2022.116505	journal	February 2023
Stress-strain states and energy absorption in open-cell aluminium foams under hypervelocity impact Zhao, Shengpu; Zhang, Xiaotian; Wang, Ruiqing Composite Structures, Vol. 313 https://doi.org/10.1016/j.compstruct.2023.116885	journal	June 2023
Buckling and pattern transformation of modified periodic lattice structures He, Yuhao; Zhou, Yu; Liu, Zishun Extreme Mechanics Letters, Vol. 22 https://doi.org/10.1016/j.eml.2018.05.011	journal	July 2018
An experimental and numerical investigation of compressive response of designed Schwarz Primitive triply periodic minimal surface with non-uniform shell thickness Jia, Heran; Lei, Hongshuai; Wang, Panding Extreme Mechanics Letters, Vol. 37 https://doi.org/10.1016/j.eml.2020.100671	journal	May 2020
On the effect of relative density on the crushing and energy absorption of open-cell foams under impact Gaitanaros, Stavros; Kyriakides, Stelios International Journal of Impact Engineering, Vol. 82 https://doi.org/10.1016/j.ijimpeng.2015.03.011	journal	August 2015
Multiscale modelling of soft lattice metamaterials: Micromechanical nonlinear buckling analysis, experimental verification, and macroscale constitutive behaviour Jamshidian, M.; Boddeti, N.; Rosen, D. W. International Journal of Mechanical Sciences, Vol. 188 https://doi.org/10.1016/j.ijmecsci.2020.105956	journal	December 2020
Experimental and DEM investigation of axially-loaded behaviours of IWP-based structures Fu, Hao; Kaewunruen, Sakdirat International Journal of Mechanical Sciences, Vol. 235 https://doi.org/10.1016/j.ijmecsci.2022.107738	journal	December 2022
Compressive response of open-cell foams. Part I: Morphology and elastic properties Gong, L.; Kyriakides, S.; Jang, W. -Y. International Journal of Solids and Structures, Vol. 42, Issue 5-6 https://doi.org/10.1016/j.ijsolstr.2004.07.023	journal	March 2005
On the microstructure of open-cell foams and its effect on elastic properties Jang, Wen-Yea; Kraynik, Andrew M.; Kyriakides, Stelios International Journal of Solids and Structures, Vol. 45, Issue 7-8 https://doi.org/10.1016/j.ijsolstr.2007.10.008	journal	April 2008
Comparison of hexahedral and tetrahedral elements in finite element analysis of the foot and footwear Tadepalli, Srinivas C.; Erdemir, Ahmet; Cavanagh, Peter R. Journal of Biomechanics, Vol. 44, Issue 12 https://doi.org/10.1016/j.jbiomech.2011.05.006	journal	August 2011
The effects of topology and relative density of lattice liners on traumatic brain injury mitigation Khosroshahi, Siamak Farajzadeh; Duckworth, Harry; Galvanetto, Ugo Journal of Biomechanics, Vol. 97 https://doi.org/10.1016/j.jbiomech.2019.109376	journal	December 2019
Materials selection of flexible open-cell foams in energy absorption applications Bird, Evan T.; Bowden, Anton E.; Seeley, Matthew K. Materials & Design, Vol. 137 https://doi.org/10.1016/j.matdes.2017.10.054	journal	January 2018
Fabrication of polymeric lattice structures for optimum energy absorption using Multi Jet Fusion technology Habib, F. N.; Iovenitti, P.; Masood, S. H. Materials & Design, Vol. 155 https://doi.org/10.1016/j.matdes.2018.05.059	journal	October 2018
Mechanical properties of 3D printed polymeric Gyroid cellular structures: Experimental and finite element study Abueidda, Diab W.; Elhebeary, Mohamed; Shiang, Cheng-Shen (Andrew) Materials & Design, Vol. 165 https://doi.org/10.1016/j.matdes.2019.107597	journal	March 2019
Failure and energy absorption characteristics of four lattice structures under dynamic loading Jin, Nan; Wang, Fuchi; Wang, Yangwei Materials & Design, Vol. 169 https://doi.org/10.1016/j.matdes.2019.107655	journal	May 2019
Evaluation of compressive properties of SLM-fabricated multi-layer lattice structures by experimental test and μ-CT-based finite element analysis Lei, Hongshuai; Li, Chuanlei; Meng, Jinxin Materials & Design, Vol. 169 https://doi.org/10.1016/j.matdes.2019.107685	journal	May 2019
Microstructure-topology relationship effects on the quasi-static and dynamic behavior of additively manufactured lattice structures Hazeli, Kavan; Babamiri, Behzad Bahrami; Indeck, Joseph Materials & Design, Vol. 176 https://doi.org/10.1016/j.matdes.2019.107826	journal	August 2019
Effect of unit cell topology on the tensile loading responses of additive manufactured CoCrMo triply periodic minimal surface sheet lattices Park, So-Yeon; Kim, Kyu-Sik; AlMangour, Bandar Materials & Design, Vol. 206 https://doi.org/10.1016/j.matdes.2021.109778	journal	August 2021
Influence of geometrical notches and form optimization on the mechanical properties of additively manufactured lattice structures Meyer, Guillaume; Wang, Haixu; Mittelstedt, Christian Materials & Design, Vol. 222 https://doi.org/10.1016/j.matdes.2022.111082	journal	October 2022
Coupled effect of microstructure and topology on the mechanical behavior of Inconel718 additively manufactured lattices Banait, S.; Liu, C.; Campos, M. Materials & Design, Vol. 224 https://doi.org/10.1016/j.matdes.2022.111294	journal	December 2022
Analysis of 3-D printing technologies, materials, and its medical application aspects Ramaiah, Gurumurthy B.; Gebrecherkos Weldeanenia, Kidu; Tegegne, Asmamaw Materials Today: Proceedings, Vol. 92 https://doi.org/10.1016/j.matpr.2023.04.191	journal	January 2023
Polymer Design for 3D Printing Elastomers: Recent Advances in Structure, Properties, and Printing Herzberger, Jana; Sirrine, Justin M.; Williams, Christopher B. Progress in Polymer Science, Vol. 97 https://doi.org/10.1016/j.progpolymsci.2019.101144	journal	October 2019
Chemical Bond Scission and Physical Slippage in the Mullins Effect and Fatigue Behavior of Elastomers Wan, Haixiao; Gao, Ke; Li, Sai Macromolecules, Vol. 52, Issue 11 https://doi.org/10.1021/acs.macromol.9b00128	journal	May 2019
Photopolymerization in 3D Printing Bagheri, Ali; Jin, Jianyong ACS Applied Polymer Materials, Vol. 1, Issue 4 https://doi.org/10.1021/acsapm.8b00165	journal	February 2019
Mechanical metamaterials at the theoretical limit of isotropic elastic stiffness Berger, J. B.; Wadley, H. N. G.; McMeeking, R. M. Nature, Vol. 543, Issue 7646 https://doi.org/10.1038/nature21075	journal	February 2017
Additive manufacturing technology of polymeric materials for customized products: recent developments and future prospective Pal, Akhilesh Kumar; Mohanty, Amar K.; Misra, Manjusri RSC Advances, Vol. 11, Issue 58 https://doi.org/10.1039/d1ra04060j	journal	January 2021
A Theory of Large Elastic Deformation Mooney, M. Journal of Applied Physics, Vol. 11, Issue 9 https://doi.org/10.1063/1.1712836	journal	September 1940
Molecular dynamics simulations to understand the mechanical behavior of functional gradient nano-gyroid structures Dai, Rui; Li, Dawei; Liao, Wenhe Journal of Applied Physics, Vol. 132, Issue 13 https://doi.org/10.1063/5.0102297	journal	October 2022
Finite element modelling approaches for well-ordered porous metallic materials for orthopaedic applications: cost effectiveness and geometrical considerations Quevedo González, Fernando José; Nuño, Natalia Computer Methods in Biomechanics and Biomedical Engineering, Vol. 19, Issue 8 https://doi.org/10.1080/10255842.2015.1075009	journal	August 2015
Tomography and Simulation of Microstructure Evolution of a Closed-Cell Polymer Foam in Compression Daphalapurkar, N. P.; Hanan, J. C.; Phelps, N. B. Mechanics of Advanced Materials and Structures, Vol. 15, Issue 8 https://doi.org/10.1080/15376490802470523	journal	December 2008
Mechanical properties and energy–absorption capabilities of thermoplastic sheet gyroid structures Higuera, S.; Miralbes, R.; Ranz, D. Mechanics of Advanced Materials and Structures, Vol. 29, Issue 25 https://doi.org/10.1080/15376494.2021.1919803	journal	May 2021
Post-processing treatments to enhance additively manufactured polymeric parts: a review Tamburrino, F.; Barone, S.; Paoli, A. Virtual and Physical Prototyping, Vol. 16, Issue 2 https://doi.org/10.1080/17452759.2021.1917039	journal	March 2021
The design of impact absorbing structures for additive manufacture Brennan-Craddock, J.; Brackett, D.; Wildman, R. Journal of Physics: Conference Series, Vol. 382 https://doi.org/10.1088/1742-6596/382/1/012042	journal	August 2012
Large Deformation Isotropic Elasticity - On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids Ogden, R. W. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 326, Issue 1567 https://doi.org/10.1098/rspa.1972.0026	journal	February 1972
The properties of foams and lattices Ashby, M. F. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 364, Issue 1838 https://doi.org/10.1098/rsta.2005.1678	journal	November 2005
Compressive Strain at the Onset of Densification of Cellular Solids Li, Q. M.; Magkiriadis, I.; Harrigan, J. J. Journal of Cellular Plastics, Vol. 42, Issue 5 https://doi.org/10.1177/0021955X06063519	journal	September 2006
Applications of Cellular Materials – An Overview Prabhu, S.; Raja, V. K. Bupesh; Nikhil, Rajan Applied Mechanics and Materials, Vol. 766-767 https://doi.org/10.4028/www.scientific.net/AMM.766-767.511	journal	June 2015
Some Forms of the Strain Energy Function for Rubber Yeoh, O. H. Rubber Chemistry and Technology, Vol. 66, Issue 5 https://doi.org/10.5254/1.3538343	journal	November 1993

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