A perturbation force based approach to creasing instability in soft materials under general loading conditions
The formation and control of surface creases in soft materials under compression have intrigued the mechanics community for decades and recently found many applications in tissue biomechanics, soft robotics and tunable devices. In spite of a rapidly growing literature in this field, existing methods...
| Main Authors: | , , , , , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/159564 |
| _version_ | 1826113157472452608 |
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| author | Yang, Pengfei Fang, Yaopeng Yuan, Yanan Meng, Shun Nan, Zihao Xu, Hui Imtiaz, Haroon Liu, Bin Gao, Huajian |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Yang, Pengfei Fang, Yaopeng Yuan, Yanan Meng, Shun Nan, Zihao Xu, Hui Imtiaz, Haroon Liu, Bin Gao, Huajian |
| author_sort | Yang, Pengfei |
| collection | NTU |
| description | The formation and control of surface creases in soft materials under compression have intrigued the mechanics community for decades and recently found many applications in tissue biomechanics, soft robotics and tunable devices. In spite of a rapidly growing literature in this field, existing methods of analysis often rely on a presumed crease configuration and consequently there is still a lack of profound theoretical understanding on crease nucleation. In this study, we propose a force based perturbation approach to predicting the occurrence of crease nucleation without assuming a post-instability configuration. In a set of carefully controlled FEM simulations, by considering the relative magnitudes among the element size, perturbation displacement and sample size, we find that beyond a critical strain around −0.36, a flat surface under uniform deformation becomes metastable, while the creased configuration becomes stable, with energy barrier for creasing proportional to the square of the FEM element size and therefore vanishing in the continuum limit. Beyond the Biot critical strain of−0.46, the uniformly deformed configuration of a flat surface becomes unstable. Our force-based instability criterion also enabled us to determine the critical conditions of crease formation for different materials under general loading conditions, leading to a set of crease diagrams. Interestingly, it is shown theoretically and validated experimentally that some highly compressible soft materials do not undergo creasing under loading conditions close to equibiaxial compression. |
| first_indexed | 2024-10-01T03:18:36Z |
| format | Journal Article |
| id | ntu-10356/159564 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:18:36Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1595642022-06-28T00:36:47Z A perturbation force based approach to creasing instability in soft materials under general loading conditions Yang, Pengfei Fang, Yaopeng Yuan, Yanan Meng, Shun Nan, Zihao Xu, Hui Imtiaz, Haroon Liu, Bin Gao, Huajian School of Mechanical and Aerospace Engineering Institute of High Performance Computing, A*STAR Engineering::Mechanical engineering Solid Instability Creasing The formation and control of surface creases in soft materials under compression have intrigued the mechanics community for decades and recently found many applications in tissue biomechanics, soft robotics and tunable devices. In spite of a rapidly growing literature in this field, existing methods of analysis often rely on a presumed crease configuration and consequently there is still a lack of profound theoretical understanding on crease nucleation. In this study, we propose a force based perturbation approach to predicting the occurrence of crease nucleation without assuming a post-instability configuration. In a set of carefully controlled FEM simulations, by considering the relative magnitudes among the element size, perturbation displacement and sample size, we find that beyond a critical strain around −0.36, a flat surface under uniform deformation becomes metastable, while the creased configuration becomes stable, with energy barrier for creasing proportional to the square of the FEM element size and therefore vanishing in the continuum limit. Beyond the Biot critical strain of−0.46, the uniformly deformed configuration of a flat surface becomes unstable. Our force-based instability criterion also enabled us to determine the critical conditions of crease formation for different materials under general loading conditions, leading to a set of crease diagrams. Interestingly, it is shown theoretically and validated experimentally that some highly compressible soft materials do not undergo creasing under loading conditions close to equibiaxial compression. This work was supported by the National Natural Science Foundation of China [grant numbers 11720101002, 11921002, and 11890674], and Science Challenge Project No. TZ2018001. 2022-06-28T00:36:47Z 2022-06-28T00:36:47Z 2021 Journal Article Yang, P., Fang, Y., Yuan, Y., Meng, S., Nan, Z., Xu, H., Imtiaz, H., Liu, B. & Gao, H. (2021). A perturbation force based approach to creasing instability in soft materials under general loading conditions. Journal of the Mechanics and Physics of Solids, 151, 104401-. https://dx.doi.org/10.1016/j.jmps.2021.104401 0022-5096 https://hdl.handle.net/10356/159564 10.1016/j.jmps.2021.104401 2-s2.0-85104114607 151 104401 en Journal of the Mechanics and Physics of Solids © 2021 Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Solid Instability Creasing Yang, Pengfei Fang, Yaopeng Yuan, Yanan Meng, Shun Nan, Zihao Xu, Hui Imtiaz, Haroon Liu, Bin Gao, Huajian A perturbation force based approach to creasing instability in soft materials under general loading conditions |
| title | A perturbation force based approach to creasing instability in soft materials under general loading conditions |
| title_full | A perturbation force based approach to creasing instability in soft materials under general loading conditions |
| title_fullStr | A perturbation force based approach to creasing instability in soft materials under general loading conditions |
| title_full_unstemmed | A perturbation force based approach to creasing instability in soft materials under general loading conditions |
| title_short | A perturbation force based approach to creasing instability in soft materials under general loading conditions |
| title_sort | perturbation force based approach to creasing instability in soft materials under general loading conditions |
| topic | Engineering::Mechanical engineering Solid Instability Creasing |
| url | https://hdl.handle.net/10356/159564 |
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