Bioinspired, mechanical, deterministic fractal model for hierarchical suture joints
Many biological systems possess hierarchical and fractal-like interfaces and joint structures that bear and transmit loads, absorb energy, and accommodate growth, respiration, and/or locomotion. In this paper, an elastic deterministic fractal composite mechanical model was formulated to quantitative...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2012
|
| Online Access: | http://hdl.handle.net/1721.1/71526 https://orcid.org/0000-0003-3511-5679 https://orcid.org/0000-0002-2193-377X |
| _version_ | 1811071118204731392 |
|---|---|
| author | Boyce, Mary Cunningham Li, Yaning Ortiz, Christine |
| author2 | Massachusetts Institute of Technology. Department of Materials Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Materials Science and Engineering Boyce, Mary Cunningham Li, Yaning Ortiz, Christine |
| author_sort | Boyce, Mary Cunningham |
| collection | MIT |
| description | Many biological systems possess hierarchical and fractal-like interfaces and joint structures that bear and transmit loads, absorb energy, and accommodate growth, respiration, and/or locomotion. In this paper, an elastic deterministic fractal composite mechanical model was formulated to quantitatively investigate the role of structural hierarchy on the stiffness, strength, and failure of suture joints. From this model, it was revealed that the number of hierarchies (N) can be used to tailor and to amplify mechanical properties nonlinearly and with high sensitivity over a wide range of values (orders of magnitude) for a given volume and weight. Additionally, increasing hierarchy was found to result in mechanical interlocking of higher-order teeth, which creates additional load resistance capability, thereby preventing catastrophic failure in major teeth and providing flaw tolerance. Hence, this paper shows that the diversity of hierarchical and fractal-like interfaces and joints found in nature have definitive functional consequences and is an effective geometric-structural strategy to achieve different properties with limited material options in nature when other structural geometries and parameters are biologically challenging or inaccessible. This paper also indicates the use of hierarchy as a design strategy to increase design space and provides predictive capabilities to guide the mechanical design of synthetic flaw-tolerant bioinspired interfaces and joints. |
| first_indexed | 2024-09-23T08:46:20Z |
| format | Article |
| id | mit-1721.1/71526 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:46:20Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/715262022-09-23T14:26:12Z Bioinspired, mechanical, deterministic fractal model for hierarchical suture joints Boyce, Mary Cunningham Li, Yaning Ortiz, Christine Massachusetts Institute of Technology. Department of Materials Science and Engineering Massachusetts Institute of Technology. Department of Mechanical Engineering Boyce, Mary Cunningham Boyce, Mary Cunningham Li, Yaning Ortiz, Christine Many biological systems possess hierarchical and fractal-like interfaces and joint structures that bear and transmit loads, absorb energy, and accommodate growth, respiration, and/or locomotion. In this paper, an elastic deterministic fractal composite mechanical model was formulated to quantitatively investigate the role of structural hierarchy on the stiffness, strength, and failure of suture joints. From this model, it was revealed that the number of hierarchies (N) can be used to tailor and to amplify mechanical properties nonlinearly and with high sensitivity over a wide range of values (orders of magnitude) for a given volume and weight. Additionally, increasing hierarchy was found to result in mechanical interlocking of higher-order teeth, which creates additional load resistance capability, thereby preventing catastrophic failure in major teeth and providing flaw tolerance. Hence, this paper shows that the diversity of hierarchical and fractal-like interfaces and joints found in nature have definitive functional consequences and is an effective geometric-structural strategy to achieve different properties with limited material options in nature when other structural geometries and parameters are biologically challenging or inaccessible. This paper also indicates the use of hierarchy as a design strategy to increase design space and provides predictive capabilities to guide the mechanical design of synthetic flaw-tolerant bioinspired interfaces and joints. Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract No. DAAD-19-02-D0002) National Security Science and Engineering Faculty Fellowship Program (Grant No. N00244-09-1-0064) United States. Army Research Office. Institute for Collaborative Biotechnologies (Grant No. W911NF-09-0001) 2012-07-03T13:06:01Z 2012-07-03T13:06:01Z 2012-03 2011-12 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/71526 Li, Yaning, Christine Ortiz, and Mary C. Boyce. “Bioinspired, Mechanical, Deterministic Fractal Model for Hierarchical Suture Joints.” Physical Review E 85.3 (2012). ©2012 American Physical Society https://orcid.org/0000-0003-3511-5679 https://orcid.org/0000-0002-2193-377X en_US http://dx.doi.org/10.1103/PhysRevE.85.031901 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Boyce, Mary Cunningham Li, Yaning Ortiz, Christine Bioinspired, mechanical, deterministic fractal model for hierarchical suture joints |
| title | Bioinspired, mechanical, deterministic fractal model for hierarchical suture joints |
| title_full | Bioinspired, mechanical, deterministic fractal model for hierarchical suture joints |
| title_fullStr | Bioinspired, mechanical, deterministic fractal model for hierarchical suture joints |
| title_full_unstemmed | Bioinspired, mechanical, deterministic fractal model for hierarchical suture joints |
| title_short | Bioinspired, mechanical, deterministic fractal model for hierarchical suture joints |
| title_sort | bioinspired mechanical deterministic fractal model for hierarchical suture joints |
| url | http://hdl.handle.net/1721.1/71526 https://orcid.org/0000-0003-3511-5679 https://orcid.org/0000-0002-2193-377X |
| work_keys_str_mv | AT boycemarycunningham bioinspiredmechanicaldeterministicfractalmodelforhierarchicalsuturejoints AT liyaning bioinspiredmechanicaldeterministicfractalmodelforhierarchicalsuturejoints AT ortizchristine bioinspiredmechanicaldeterministicfractalmodelforhierarchicalsuturejoints |