On the Kinematics of Growth of Regular Boundaries of Bodies into Fractals

Generalizing smooth volumetric growth to the singular case, using de Rham currents and flat chains, we demonstrate how regular boundaries of bodies may evolve to fractals.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Journal of elasticity 2024-10, Vol.156 (3), p.955-974
Hauptverfasser:	Gol’dshtein, Vladimir, Segev, Reuven
Format:	Artikel
Sprache:	eng
Schlagworte:	Biomechanics Boundaries Classical and Continuum Physics Classical Mechanics Engineering Fractals Kinematics Materials Science Mathematical Applications in the Physical Sciences Theoretical and Applied Mechanics
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Generalizing smooth volumetric growth to the singular case, using de Rham currents and flat chains, we demonstrate how regular boundaries of bodies may evolve to fractals.
ISSN:	0374-3535 1573-2681
DOI:	10.1007/s10659-024-10080-x