A two-scale computational homogenization approach for elastoplastic truss-based lattice structures
Advancements in metal additive manufacturing have enabled the fabrication of alloy-based lattice structures with complex geometrical features, driving the need for efficient modeling frameworks. Despite progress in the homogenization of metamaterials, most existing studies have focused on the elasti...
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Elsevier
2025-03-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123025000647 |
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| author | Hooman Danesh Lisamarie Heußen Francisco J. Montáns Stefanie Reese Tim Brepols |
| author_facet | Hooman Danesh Lisamarie Heußen Francisco J. Montáns Stefanie Reese Tim Brepols |
| author_sort | Hooman Danesh |
| collection | DOAJ |
| description | Advancements in metal additive manufacturing have enabled the fabrication of alloy-based lattice structures with complex geometrical features, driving the need for efficient modeling frameworks. Despite progress in the homogenization of metamaterials, most existing studies have focused on the elastic behavior of lattice structures (whether linear or nonlinear), while the inelastic behavior, particularly elastoplasticity, remains largely unexplored. This study develops a two-scale homogenization framework to model such structures, focusing on post-yielding deformations, using a combined nonlinear exponential isotropic-kinematic hardening model for the lattice struts. The framework is applied to three types of stretching-dominated lattice topologies, including triangular, X-braced, and X-Plus-braced unit cells. The macroscopic structure is represented as a two-dimensional continuum, while the microscale lattice is modeled as a network of truss elements, significantly reducing computational cost. The framework is validated through numerical examples, including a double-clamped beam, a square plate under tension, and a dog-bone specimen under cyclic loading. It is demonstrated that the homogenization framework accurately captures force-displacement responses as well as full-field local solutions during loading, unloading, and reverse loading. Comparisons with direct numerical simulations show that the framework provides precise results in both the elastic and elastoplastic regimes, demonstrating the importance of satisfying the principle of scale separation to ensure accuracy, particularly in the plastic regime. |
| format | Article |
| id | doaj-art-604a9df50f254746ab69a2c78f383e2f |
| institution | Kabale University |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj-art-604a9df50f254746ab69a2c78f383e2f2025-01-15T04:11:50ZengElsevierResults in Engineering2590-12302025-03-0125103976A two-scale computational homogenization approach for elastoplastic truss-based lattice structuresHooman Danesh0Lisamarie Heußen1Francisco J. Montáns2Stefanie Reese3Tim Brepols4Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany; Corresponding author.Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, GermanyETS de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Pza Cardenal Cisneros 3, 28040 Madrid, Spain; Department of Mechanical and Aerospace Engineering, Herbert Wertheim College of Engineering, University of Florida, Gainesville, FL 32611, USAInstitute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany; University of Siegen, Adolf-Reichwein-Str. 2a, 57076 Siegen, GermanyInstitute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, GermanyAdvancements in metal additive manufacturing have enabled the fabrication of alloy-based lattice structures with complex geometrical features, driving the need for efficient modeling frameworks. Despite progress in the homogenization of metamaterials, most existing studies have focused on the elastic behavior of lattice structures (whether linear or nonlinear), while the inelastic behavior, particularly elastoplasticity, remains largely unexplored. This study develops a two-scale homogenization framework to model such structures, focusing on post-yielding deformations, using a combined nonlinear exponential isotropic-kinematic hardening model for the lattice struts. The framework is applied to three types of stretching-dominated lattice topologies, including triangular, X-braced, and X-Plus-braced unit cells. The macroscopic structure is represented as a two-dimensional continuum, while the microscale lattice is modeled as a network of truss elements, significantly reducing computational cost. The framework is validated through numerical examples, including a double-clamped beam, a square plate under tension, and a dog-bone specimen under cyclic loading. It is demonstrated that the homogenization framework accurately captures force-displacement responses as well as full-field local solutions during loading, unloading, and reverse loading. Comparisons with direct numerical simulations show that the framework provides precise results in both the elastic and elastoplastic regimes, demonstrating the importance of satisfying the principle of scale separation to ensure accuracy, particularly in the plastic regime.http://www.sciencedirect.com/science/article/pii/S2590123025000647Computational homogenizationElastoplastic lattice structuresTruss elementsSeparation of scales |
| spellingShingle | Hooman Danesh Lisamarie Heußen Francisco J. Montáns Stefanie Reese Tim Brepols A two-scale computational homogenization approach for elastoplastic truss-based lattice structures Results in Engineering Computational homogenization Elastoplastic lattice structures Truss elements Separation of scales |
| title | A two-scale computational homogenization approach for elastoplastic truss-based lattice structures |
| title_full | A two-scale computational homogenization approach for elastoplastic truss-based lattice structures |
| title_fullStr | A two-scale computational homogenization approach for elastoplastic truss-based lattice structures |
| title_full_unstemmed | A two-scale computational homogenization approach for elastoplastic truss-based lattice structures |
| title_short | A two-scale computational homogenization approach for elastoplastic truss-based lattice structures |
| title_sort | two scale computational homogenization approach for elastoplastic truss based lattice structures |
| topic | Computational homogenization Elastoplastic lattice structures Truss elements Separation of scales |
| url | http://www.sciencedirect.com/science/article/pii/S2590123025000647 |
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