Shear shock evolution in incompressible soft solids
Name
1907.06760.pdf
Description
Submitted version
Size
3.6 MB
Format
Adobe PDF
Checksum (MD5)
71cfb920de499f2bdc47226f1c4713de
Author(s)
Senthilnathan, Chockalingam
Cohen, Tal
Date Issued
October 2019
Journal
Journal of the Mechanics and Physics of Solids
Publisher
Elsevier BV
Citation
Chockalingam, S., T. Cohen. "Shear shock evolution in incompressible soft solids." Journal of the Mechanics and Physics of Solids, 134 (January 2020): 103746.
Version
Original manuscript
Abstract
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
MIT Department
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
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.jmps.2019.103746
