Homogenization of architected materials incorporating shearable beams
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914182185615360 |
|---|---|
| author | Franzoi, Matteo Bigoni, Davide Piccolroaz, Andrea |
| author_facet | Franzoi, Matteo Bigoni, Davide Piccolroaz, Andrea |
| contents | Two-dimensional architected materials are often realized as periodic grids of elastic beams. Conventional homogenization methods represent these structures as equivalent elastic solids but neglect shear deformation in the constituent beams. This article addresses this limitation by incorporating shear deformability through Timoshenko beam theory, enabling accurate modeling of stubby beams. Moreover, shearable beams with extreme mechanical characteristics can be obtained through the design of appropriate microstructures. Introducing shearable beams into the grid expands the design space, allowing, for instance, the control of the effective Poisson's ratio beyond the limits achievable with slender beams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05575 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogenization of architected materials incorporating shearable beams Franzoi, Matteo Bigoni, Davide Piccolroaz, Andrea Classical Physics Two-dimensional architected materials are often realized as periodic grids of elastic beams. Conventional homogenization methods represent these structures as equivalent elastic solids but neglect shear deformation in the constituent beams. This article addresses this limitation by incorporating shear deformability through Timoshenko beam theory, enabling accurate modeling of stubby beams. Moreover, shearable beams with extreme mechanical characteristics can be obtained through the design of appropriate microstructures. Introducing shearable beams into the grid expands the design space, allowing, for instance, the control of the effective Poisson's ratio beyond the limits achievable with slender beams. |
| title | Homogenization of architected materials incorporating shearable beams |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2512.05575 |