A Linear Strain Energy Function for Hyperelastic Transformation Method
Abstract
Hyperelastic transformation method provides a promising approach to manipulate elastic waves by utilizing soft materials. However, no existing constitutive model can rigorously achieve the requirement of such method. In this Letter, a linear strain energy function (SEF) which is valid for small deformation is proposed, which can be implemented to control the longitudinal and shear elastic waves simultaneously. In comparison with the neo-Hookean and the semi-linear SEFs, the wave propagation and the impedance of pre-deformed linear hyperelastic material are exploited. Numerical simulations are performed to validate the theoretical results. The investigation may pave the ways for the design and realization of soft transformation devices.
Cite
@article{arxiv.1807.05489,
title = {A Linear Strain Energy Function for Hyperelastic Transformation Method},
author = {Linli Chen and Chao Ma and Zheng Chang},
journal= {arXiv preprint arXiv:1807.05489},
year = {2018}
}
Comments
The linear strain energy function we proposed is not objective, and valid only for small deformation limit. This makes technically unsound of this work. We would like to withdraw the manuscript and further explore the related issues