On a generalized principle of fractal stiffness self-similarity
Mathematical Physics
2025-04-07 v1 math.MP
Abstract
The principle of fractal stiffness self-similarity is expanded to encompass structures with several differently-scaled contributors to the total stiffness matrix. The generalized principle is applied to solve the problem of a fractal triangular gasket that incorporates drilling modes, with a view to further applications to the modelling of fractal shells.
Cite
@article{arxiv.2504.03082,
title = {On a generalized principle of fractal stiffness self-similarity},
author = {Marcelo Epstein},
journal= {arXiv preprint arXiv:2504.03082},
year = {2025}
}