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Multiscale modelling of soft lattice metamaterials: micromechanical nonlinear buckling analysis, experimental verification, and macroscale constitutive behaviour

Jamshidian, Mostafa ; Boddeti, Narasimha ; Rosen, David W. ; Weeger, Oliver (2021):
Multiscale modelling of soft lattice metamaterials: micromechanical nonlinear buckling analysis, experimental verification, and macroscale constitutive behaviour. (Postprint)
In: International Journal of Mechanical Sciences, 188, Elsevier, ISSN 0020-7403,
DOI: 10.26083/tuprints-00019870,
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Item Type: Article
Origin: Secondary publication service
Status: Postprint
Title: Multiscale modelling of soft lattice metamaterials: micromechanical nonlinear buckling analysis, experimental verification, and macroscale constitutive behaviour
Language: English
Abstract:

Soft lattice structures and beam-metamaterials made of hyperelastic, rubbery materials undergo large elastic deformations and exhibit structural instabilities in the form of micro-buckling of struts under both compression and tension. In this work, the large-deformation nonlinear elastic behaviour of beam-lattice metamaterials is investigated by micromechanical nonlinear buckling analysis. The micromechanical 3D beam finite element model uses a primary linear buckling analysis to incorporate the effect of geometric imperfections into a subsequent nonlinear post-buckling analysis. The micromechanical computational model is validated against tensile and compressive experiments on a 3D-printed sample lattice structure manufactured via multi-material jetting. For the development and calibration of macroscale continuum constitutive models for nonlinear elastic deformation of soft lattice structures at finite strains, virtual characterization tests are conducted to quantify the effective nonlinear response of representative unit cells under periodic boundary conditions. These standard tests, commonly used for hyperelastic material characterization, include uniaxial, biaxial, planar and volumetric tension and compression, as well as simple shear. It is observed that besides the well-known stretch- and bending-dominated behaviour of cellular structures, some lattice types are dominated by buckling and post-buckling response. For multiscale simulation based on nonlinear homogenization, the uniaxial standard test results are used to derive parametric hyperelastic constitutive relations for the effective constitutive behaviour of representative unit cells in terms of lattice aspect ratio. Finally, a comparative study for compressive deformation of a sample sandwich lattice structure simulated by both full-scale beam and continuum finite element models shows the feasibility and computational efficiency of the effective continuum model.

Journal or Publication Title: International Journal of Mechanical Sciences
Journal volume: 188
Publisher: Elsevier
Collation: 33 Seiten
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
600 Technik, Medizin, angewandte Wissenschaften > 600 Technik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Date Deposited: 15 Dec 2021 13:53
Last Modified: 15 Dec 2021 13:53
DOI: 10.26083/tuprints-00019870
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-198704
Additional Information:

Lattice structures, Multiscale modelling, Micromechanics, Nonlinear buckling analysis, Hyperelastic constitutive model

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19870
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