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

Vladimir Gol’dshtein; Reuven Segev

doi:10.1007/s10659-024-10080-x

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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	955-974
Number of pages	20
Journal	Journal of Elasticity
Volume	156
Issue number	3
DOIs	https://doi.org/10.1007/s10659-024-10080-x
State	Accepted/In press - 1 Jan 2024

Keywords

70A05
74A05
Continuum mechanics
De Rham currents
Flat chains
Fractals
Growing bodies
Surface growth

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

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10.1007/s10659-024-10080-x

Cite this

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abstract = "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.",

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author = "Vladimir Gol{\textquoteright}dshtein and Reuven Segev",

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N2 - 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.

AB - 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.

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KW - Flat chains

KW - Fractals

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

Abstract

Keywords

ASJC Scopus subject areas

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