vix.ing · top · new · best · stats · spec

On a generalized principle of fractal stiffness self-similarity

2025/04/03 by Epstein, Marcelo
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2504.03082

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.

Related