Shear shock evolution in incompressible soft solids
Nonlinear evolution of shear waves into shocks in incompressible elastic materials is investigated using the framework of large deformation elastodynamics, for a family of loadings and commonly used hyperelastic material models. Closed form expressions for the shock formation distance are derived an...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Elsevier BV
2020
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| Online Access: | https://hdl.handle.net/1721.1/125649 |
| _version_ | 1811090406710968320 |
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| author | Senthilnathan, Chockalingam Cohen, Tal |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Senthilnathan, Chockalingam Cohen, Tal |
| author_sort | Senthilnathan, Chockalingam |
| collection | MIT |
| description | Nonlinear evolution of shear waves into shocks in incompressible elastic materials is investigated using the framework of large deformation elastodynamics, for a family of loadings and commonly used hyperelastic material models. Closed form expressions for the shock formation distance are derived and used to construct non-dimensional phase maps that determine regimes in which a shock can be realized. These maps reveal the sensitivity of shock evolution to the amplitude, shape, and ramp time of the loading, and to the elastic material parameters. In light of a recent study (Espindola et al., 2017), which hypothesizes that shear shock formation could play a significant role in Traumatic Brain Injury (TBI), application to brain tissue is considered and it is shown that the size matters in TBI research. Namely, for realistic loadings, smaller brains are less susceptible to formation of shear shocks. Furthermore, given the observed sensitivity to the imparted waveform and the constitutive properties, it is suggested that the non-dimensional maps can guide the design of protective structures by determining the combination of loading parameters, material dimensions, and elastic properties that can avoid shock formation. Keywords: Transverse waves; Nonlinear shear waves; Shear shocks; Soft solids; Traumatic Brain Injury |
| first_indexed | 2024-09-23T14:45:07Z |
| format | Article |
| id | mit-1721.1/125649 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:45:07Z |
| publishDate | 2020 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1256492022-10-01T22:17:13Z Shear shock evolution in incompressible soft solids Senthilnathan, Chockalingam Cohen, Tal Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Massachusetts Institute of Technology. Department of Mechanical Engineering Nonlinear evolution of shear waves into shocks in incompressible elastic materials is investigated using the framework of large deformation elastodynamics, for a family of loadings and commonly used hyperelastic material models. Closed form expressions for the shock formation distance are derived and used to construct non-dimensional phase maps that determine regimes in which a shock can be realized. These maps reveal the sensitivity of shock evolution to the amplitude, shape, and ramp time of the loading, and to the elastic material parameters. In light of a recent study (Espindola et al., 2017), which hypothesizes that shear shock formation could play a significant role in Traumatic Brain Injury (TBI), application to brain tissue is considered and it is shown that the size matters in TBI research. Namely, for realistic loadings, smaller brains are less susceptible to formation of shear shocks. Furthermore, given the observed sensitivity to the imparted waveform and the constitutive properties, it is suggested that the non-dimensional maps can guide the design of protective structures by determining the combination of loading parameters, material dimensions, and elastic properties that can avoid shock formation. Keywords: Transverse waves; Nonlinear shear waves; Shear shocks; Soft solids; Traumatic Brain Injury 2020-06-03T18:50:36Z 2020-06-03T18:50:36Z 2019-10 2019-07 2020-05-21T13:32:12Z Article http://purl.org/eprint/type/JournalArticle 0022-5096 https://hdl.handle.net/1721.1/125649 Chockalingam, S., T. Cohen. "Shear shock evolution in incompressible soft solids." Journal of the Mechanics and Physics of Solids, 134 (January 2020): 103746. en http://dx.doi.org/10.1016/j.jmps.2019.103746 Journal of the Mechanics and Physics of Solids Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Senthilnathan, Chockalingam Cohen, Tal Shear shock evolution in incompressible soft solids |
| title | Shear shock evolution in incompressible soft solids |
| title_full | Shear shock evolution in incompressible soft solids |
| title_fullStr | Shear shock evolution in incompressible soft solids |
| title_full_unstemmed | Shear shock evolution in incompressible soft solids |
| title_short | Shear shock evolution in incompressible soft solids |
| title_sort | shear shock evolution in incompressible soft solids |
| url | https://hdl.handle.net/1721.1/125649 |
| work_keys_str_mv | AT senthilnathanchockalingam shearshockevolutioninincompressiblesoftsolids AT cohental shearshockevolutioninincompressiblesoftsolids |