Single-test evaluation of directional elastic properties of anisotropic structured materials

Single-test evaluation of directional elastic properties of anisotropic structured materials

Boddapati, Jagannadh (California Institute of Technology)
Flaschel, Moritz (ETH Zürich)
Kumar, Siddhant (TU Delft Team Sid Kumar)
De Lorenzis, Laura (ETH Zürich)
Daraio, Chiara (California Institute of Technology)

2023

When the elastic properties of structured materials become direction-dependent, the number of their descriptors increases. For example, in two-dimensions, the anisotropic behavior of materials is described by up to 6 independent elastic stiffness parameters, as opposed to only 2 needed for isotropic materials. Such high number of parameters expands the design space of structured materials and leads to unusual phenomena, such as materials that can shear under uniaxial compression. However, an increased number of properties descriptors and the coupling between shear and normal deformations render the experimental evaluation of material properties more challenging. In this paper, we propose a methodology based on the virtual fields method to identify six separate stiffness tensor parameters of two-dimensional anisotropic structured materials using just one tension test, thus eliminating the need for multiple experiments, as it is typical in traditional methods. The approach requires no stress data and uses full-field displacement data and global force data. We show the accuracy of our method using synthetic data generated from finite element simulations as well as experimental data from additively manufactured specimens.

Anisotropy
Data-driven identification
Inverse problems
Metamaterial design
Shear-normal coupling
Virtual fields method

http://resolver.tudelft.nl/uuid:ad21462c-45e7-4880-ae5c-242c60cc646f

https://doi.org/10.1016/j.jmps.2023.105471

2024-04-21

0022-5096

Journal of the Mechanics and Physics of Solids, 181

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© 2023 Jagannadh Boddapati, Moritz Flaschel, Siddhant Kumar, Laura De Lorenzis, Chiara Daraio