Preprint has been published in a journal as an article
DOI of the published article https://doi.org/10.1016/j.ijnonlinmec.2020.103502
Preprint
/
Version 2
DOI of the published article https://doi.org/10.1016/j.ijnonlinmec.2020.103502
Observation of vector solitary waves in soft laminates using a finite volume method
DOI:
https://doi.org/10.31224/osf.io/vk73rKeywords:
composites, finite deformations, Fnite volume method, Gent material, laminates, nonlinear elasticity, soft materials, solitary waves, wave propagationAbstract
Soft materials with engineered microstructure support nonlinear waves which can be harnessed for various applications, from signal communication to impact mitigation. Such waves are governed by nonlinear coupled differential equations whose analytical solution is seldom trackable, hence emerges the need for suitable numerical solvers. Based on a finite-volume method in one space dimension, we here develop a designated scheme for nonlinear waves with two coupled components that propagate in soft laminates. We apply our scheme to a periodic laminate made of two alternating compressible Gent layers, and consider two cases. In one case, we analyze a motion whose component along the lamination direction is coupled to a component in the layers plane, and discover vector solitary waves in a continuum medium. In the second case, we analyze a motion with two coupled components in the plane of the layers, and observe a train of linearly polarized solitary waves, followed by a single circularly polarized wave. The framework we developed offers a platform for further investigation of these waves and their extension to higher dimensional problems.Downloads
Download data is not yet available.
Downloads
Posted
2020-02-19 — Updated on 2020-02-19
Versions
- 2020-02-19 (2)
- 2020-02-19 (1)