Elastic Interaction of Pressurized Cavities in Hyperelastic Media: Attraction and Repulsion
Abstract
This study computationally investigates the elastic interaction of two pressurized cylindrical cavities in a 2D hyperelastic medium. Unlike linear elasticity, where interactions are exclusively attractive, nonlinear material models (neo-Hookean, Mooney-Rivlin, Arruda-Boyce) exhibit both attraction and repulsion between the cavities. A critical pressure-shear modulus ratio governs the transition, offering a pathway to manipulate cavity configurations through material and loading parameters. At low ratios, the interactions are always attractive; at higher ratios, both attractive and repulsive regimes exist depending on the separation between the cavities. Effect of strain stiffening on these interactions are also analyzed. These insights bridge theoretical and applied mechanics, with implications for soft material design and subsurface engineering.
Keywords
Cite
@article{arxiv.2501.07664,
title = {Elastic Interaction of Pressurized Cavities in Hyperelastic Media: Attraction and Repulsion},
author = {Ali Saeedi and Mrityunjay Kothari},
journal= {arXiv preprint arXiv:2501.07664},
year = {2025}
}
Comments
7 pages and 7 figures in main text. 8 pages and 6 figures for appendix and references