Scaling of Effective Moduli of Generalised Continua

DOI10.1007/978-1-4020-9033-2_18zbMath1208.74119OpenAlexW32048617MaRDI QIDQ3084434

Elena Pasternak, Arcady V. Dyskin

Publication date: 24 March 2011

Published in: IUTAM Symposium on Scaling in Solid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-9033-2_18

zbMATH Keywords

effective characteristicscosserat continuumfractal approximationself-similar approximation

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15)

Related Items (1)

Discrete self-similarity of multiscale materials and systems. Universality of scaling exponents

Cites Work

• On fractals and size effects
• Mechanics on fractal bodies. Data compression using fractals
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Scaling laws and renormalization groups for strength and toughness of disordered materials
• Some fractal models of fracture
• Effective characteristics and stress concentrations in materials with self-similar microstructure
• GENERALIZED DIFFERENTIATION AND THE COMPLEX MEMORY OF STRUCTURES
• A fractional calculus approach to the description of stress and strain localization in fractal media
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