Novel hybrid minimal surface-based lattice materials

• The Schwartz Primitive architecture is reinforced internally with other TPMS architectures and a simple cubic plate lattice to achieve isotropic properties. • Reinforcing the Schwartz Primitive architecture with the simple cubic plate structure resulted in a 47% increase in combined stiffness. • Hybridization caused a delay in the formation of shear bands, with predominantly layer-wise deformations, during the compression test. The sheet-based triply periodic minimal surface (TPMS) architecture exhibits effective properties below the stiffness Hashin-Shtrikman upper bound and the strength Suquet upper bound (SU). However, some plate-based architectures have achieved these upper bounds, but limited by their inability to effectively eliminate stress concentrations and manufacturing difficulty. This study introduces a new class of isotropic sheet/shell-based lattice-based metamaterials by reinforcing the Schwartz Primitive TPMS architecture, due to its inherent high shear properties, with minimal surface-based (Schwartz Diamond and F-Rhombic Dodecahedron) and plate-based (simple cubic) architectures, inspired by their known high compressive properties. The aim is to design cubic symmetrical and isotropic lattice-based metamaterials capable of providing a combined high stiffness, strength, and specific energy absorption (SEA), rare in the literature. Effective mechanical properties are estimated using quasi-static finite element simulations validated by compression testing of 3D printed lattices. Reinforcing the Schwartz Primitive architecture with the simple cubic plate structure resulted in an open-cell isotropic lattice material providing a 47% increase in combined stiffness over the parent structure, effective yield strength reaching the SU bound in uniaxial loading, and high SEA beyond regular sheet-based TPMS architectures. This work has designed mechanically-efficient isotropic metamaterials that harness the advantages of minimal surface-based structures.

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Institutions

Publication Details

Journal
Materials & Design
Published
2025-04-14
DOI
https://doi.org/10.1016/j.matdes.2025.113959
Citations
16
Primary Topic
Cellular and Composite Structures
Type
article
Field-Weighted Citation Impact
11.41
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article

Novel hybrid minimal surface-based lattice materials

Rashid K. Abu Al‐Rub, Chukwugozie J. Ejeh, Imad Barsoum
16 citations
Materials & Design
Cellular and Composite Structures
11.41
article

Novel hybrid minimal surface-based lattice materials

Rashid K. Abu Al‐Rub, Chukwugozie J. Ejeh, Imad Barsoum
article en
16 citations

Abstract

• The Schwartz Primitive architecture is reinforced internally with other TPMS architectures and a simple cubic plate lattice to achieve isotropic properties. • Reinforcing the Schwartz Primitive architecture with the simple cubic plate structure resulted in a 47% increase in combined stiffness. • Hybridization caused a delay in the formation of shear bands, with predominantly layer-wise deformations, during the compression test. The sheet-based triply periodic minimal surface (TPMS) architecture exhibits effective properties below the stiffness Hashin-Shtrikman upper bound and the strength Suquet upper bound (SU). However, some plate-based architectures have achieved these upper bounds, but limited by their inability to effectively eliminate stress concentrations and manufacturing difficulty. This study introduces a new class of isotropic sheet/shell-based lattice-based metamaterials by reinforcing the Schwartz Primitive TPMS architecture, due to its inherent high shear properties, with minimal surface-based (Schwartz Diamond and F-Rhombic Dodecahedron) and plate-based (simple cubic) architectures, inspired by their known high compressive properties. The aim is to design cubic symmetrical and isotropic lattice-based metamaterials capable of providing a combined high stiffness, strength, and specific energy absorption (SEA), rare in the literature. Effective mechanical properties are estimated using quasi-static finite element simulations validated by compression testing of 3D printed lattices. Reinforcing the Schwartz Primitive architecture with the simple cubic plate structure resulted in an open-cell isotropic lattice material providing a 47% increase in combined stiffness over the parent structure, effective yield strength reaching the SU bound in uniaxial loading, and high SEA beyond regular sheet-based TPMS architectures. This work has designed mechanically-efficient isotropic metamaterials that harness the advantages of minimal surface-based structures.

Materials & DesignVol. 253
Khalifa University of Science and Technology (AE), KTH Royal Institute of Technology (SE)
Openalex Percentile: Top 1%
Cellular and Composite Structures
11.41
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