On the correlation between static and dynamic mechanical properties in architected lattice materials

Metamaterials are multiscale architected structures with design inspired by nature, which can offer multifunctional properties that surpass those of conventional materials. The static and dynamic mechanical properties of architected materials have been extensively investigated, however, their interr...

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Main Authors: Abdulla Alhembar, Imad Barsoum, Fabrizio Scarpa
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Materials & Design
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Online Access:http://www.sciencedirect.com/science/article/pii/S026412752500735X
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author Abdulla Alhembar
Imad Barsoum
Fabrizio Scarpa
author_facet Abdulla Alhembar
Imad Barsoum
Fabrizio Scarpa
author_sort Abdulla Alhembar
collection DOAJ
description Metamaterials are multiscale architected structures with design inspired by nature, which can offer multifunctional properties that surpass those of conventional materials. The static and dynamic mechanical properties of architected materials have been extensively investigated, however, their interrelationships are yet to be explored. This study correlates quasi-static and dynamic responses in 13 bio-inspired, topology-optimized, TPMS, plate- and truss-based lattices. Strong correlation between compressive modulus (Ec) and specific energy absorption (SEA) is found through experimental compression tests and low-velocity impact tests, supported by validated numerical modeling. For a subset of these lattices, the perforation limit (Vp) also exhibits a robust correlation between compressive modulus and SEA. Two in-house designs, the topology-optimized CompIED and the insect-elytra-inspired EBEP topologies achieve the highest Ec and the highest Vp simultaneously, demonstrating that the usual trade-off between stiffness and impact resistance can be overcome. A parametric study introduces the impactor-to-cell ratio (χ) metric which is defined as the impactor’s cross-sectional area divided by the square of the unit cell size. The perforation limit decreases exponentially for cell sizes above 2.5 mm (χ = 12.5) and stabilizes beyond 15 mm (χ = 1.4), implying that, beyond this point, larger unit cells do not contribute in augmenting the Vp as the improvement in impact stiffness diminishes.
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spelling doaj-art-af6cbbd5f16b49ec9a98d7d1464b29092025-07-02T04:49:25ZengElsevierMaterials & Design0264-12752025-08-01256114315On the correlation between static and dynamic mechanical properties in architected lattice materialsAbdulla Alhembar0Imad Barsoum1Fabrizio Scarpa2Department of Mechanical and Nuclear Engineering, College of Engineering and Physical Sciences, Khalifa University of Science and Technology, P.O Box 127788, Abu Dhabi, United Arab Emirates; Advanced Digital & Additive Manufacturing (ADAM) Group, Khalifa University of Science and Technology, P.O Box 127788, Abu Dhabi, United Arab EmiratesDepartment of Mechanical and Nuclear Engineering, College of Engineering and Physical Sciences, Khalifa University of Science and Technology, P.O Box 127788, Abu Dhabi, United Arab Emirates; Advanced Digital & Additive Manufacturing (ADAM) Group, Khalifa University of Science and Technology, P.O Box 127788, Abu Dhabi, United Arab Emirates; Department of Engineering Mechanics, Royal Institute of Technology – KTH, Teknikringen 8, 100 44 Stockholm, Sweden; Corresponding author at: Department of Mechanical and Nuclear Engineering, College of Engineering and Physical Sciences, Khalifa University of Science and Technology, P.O Box 127788, Abu Dhabi, United Arab Emirates.Bristol Composites Institute, School of Civil, Aerospace and Design Engineering (CADE), University of Bristol, Bristol BS8 1TR, UKMetamaterials are multiscale architected structures with design inspired by nature, which can offer multifunctional properties that surpass those of conventional materials. The static and dynamic mechanical properties of architected materials have been extensively investigated, however, their interrelationships are yet to be explored. This study correlates quasi-static and dynamic responses in 13 bio-inspired, topology-optimized, TPMS, plate- and truss-based lattices. Strong correlation between compressive modulus (Ec) and specific energy absorption (SEA) is found through experimental compression tests and low-velocity impact tests, supported by validated numerical modeling. For a subset of these lattices, the perforation limit (Vp) also exhibits a robust correlation between compressive modulus and SEA. Two in-house designs, the topology-optimized CompIED and the insect-elytra-inspired EBEP topologies achieve the highest Ec and the highest Vp simultaneously, demonstrating that the usual trade-off between stiffness and impact resistance can be overcome. A parametric study introduces the impactor-to-cell ratio (χ) metric which is defined as the impactor’s cross-sectional area divided by the square of the unit cell size. The perforation limit decreases exponentially for cell sizes above 2.5 mm (χ = 12.5) and stabilizes beyond 15 mm (χ = 1.4), implying that, beyond this point, larger unit cells do not contribute in augmenting the Vp as the improvement in impact stiffness diminishes.http://www.sciencedirect.com/science/article/pii/S026412752500735XLattice materialsImpact performanceBio-inspired designFinite element analysisEnergy absorptionMechanical testing
spellingShingle Abdulla Alhembar
Imad Barsoum
Fabrizio Scarpa
On the correlation between static and dynamic mechanical properties in architected lattice materials
Materials & Design
Lattice materials
Impact performance
Bio-inspired design
Finite element analysis
Energy absorption
Mechanical testing
title On the correlation between static and dynamic mechanical properties in architected lattice materials
title_full On the correlation between static and dynamic mechanical properties in architected lattice materials
title_fullStr On the correlation between static and dynamic mechanical properties in architected lattice materials
title_full_unstemmed On the correlation between static and dynamic mechanical properties in architected lattice materials
title_short On the correlation between static and dynamic mechanical properties in architected lattice materials
title_sort on the correlation between static and dynamic mechanical properties in architected lattice materials
topic Lattice materials
Impact performance
Bio-inspired design
Finite element analysis
Energy absorption
Mechanical testing
url http://www.sciencedirect.com/science/article/pii/S026412752500735X
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