The stiffness of self-similar fractals

DOI10.1016/J.IJSOLSTR.2008.01.022zbMath1169.74333OpenAlexW1977092304MaRDI QIDQ837312

Samer M. Adeeb, Marcelo Epstein

Publication date: 10 September 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.01.022

zbMATH Keywords

fractalsstructural analysisSierpiński gasketVon Koch curve

Mathematics Subject Classification ID

Fractals (28A80) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (7)

From fractal media to continuum mechanics ⋮ Fractal equilibrium configuration of a mechanically loaded binary tree ⋮ Wave propagation in heterogeneous media with local and nonlocal material behavior ⋮ Modal properties of fractal sympodial trees: insights and analytical solutions using a group tree modeling approach ⋮ Free vibration analysis of a von Koch beam ⋮ Dynamic response of damped von Koch antennas ⋮ Sierpinski-Takagi combination for a uniform and optimal point-surface load transmission

Cites Work

• Fractal mechanics
• Differentiable manifolds and the principle of virtual work in continuum mechanics
• A fractional calculus approach to the description of stress and strain localization in fractal media
• Static-kinematic duality and the principle of virtual work in the mechanics of fractal media
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