Srivastava, C and Mahesh, V and Guruprasad, PJ and Petrinic, N and Scarpa, F and Harursampath, D and Ponnusami, SA (2024) Effect of damage evolution on the auxetic behavior of 2D and 3D re-entrant type geometries. In: Mechanics of Materials, 193 .
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Abstract
In this work, a mathematical formulation based on variational asymptotic method (VAM) has been proposed to determine the effect of damage on the auxetic properties of two-dimensional (2D) and three-dimensional (3D) re-entrant geometries. The influence of damage progression on the auxetic behavior was captured using a geometrically exact one-dimensional beam theory and an isotropic damage law, implemented in a nonlinear finite element framework. The effect of material degradation on the macroscale effective elastic properties such as the elastic modulus and Poisson's ratio for the two-dimensional and three-dimensional re-entrant auxetic geometries was quantified. The mechanical behavior as predicted by the in-house Python-based implementation of the proposed VAM-based formulation is verified with the results from the commercial finite element solver Abaqus, wherein the user material subroutine was used to capture damage evolution. The numerical examples presented in this paper reveal that the macroscale auxetic behavior of the geometries was affected significantly by damage progression. The results of this research will provide insights into the design and analysis of auxetic materials for applications that warrant consideration of damage evolution. © 2024 The Author(s)
| Item Type: | Journal Article |
|---|---|
| Publication: | Mechanics of Materials |
| Publisher: | Elsevier B.V. |
| Additional Information: | The copyright for this article belongs to authors. |
| Keywords: | ABAQUS; Poisson ratio, Auxetic behavior; Auxetic materials; Auxetics; Damage evolution; Damage progression; Macroscales; Negative Poisson ratio; Re-entrant geometry; Two-dimensional; Variational asymptotic methods, Geometry |
| Department/Centre: | Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering) |
| Date Deposited: | 09 Jul 2024 06:34 |
| Last Modified: | 09 Jul 2024 06:34 |
| URI: | http://eprints.iisc.ac.in/id/eprint/84754 |
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