Scaling Transformations in Solid Mechanics

DOI10.1007/978-1-4020-9033-2_2zbMath1208.74014OpenAlexW1593067350MaRDI QIDQ3084417

Feodor M. Borodich

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_2

zbMATH Keywords

self-similarity parametric-homogeneity statistical scaling fractals

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (1)

The surface tension effect revealed via the indentation scaling index

Cites Work

• Similarity in the problem of contact between elastic bodies
• A note concerning power-type constitutive equations of deformation and fracture of solids
• Parametric homogeneity and non-classical self-similarity. I: Mathematical background. II: Some applications
• Similarity and fractality in the modelling of roughness by a multilevel profile with hierarchical structure
• Scale-invariant distributions in the problem of strength of stochastic systems with hierarchical structure
• Some fractal models of fracture
• Self-similar problems of elastic contact for non-convex punches.
• The Hertz frictional contact between nonlinear elastic anisotropic bodies (The similarity approach)
• SOME APPLICATIONS OF THE FRACTAL PARAMETRIC-HOMOGENEOUS FUNCTIONS
• Is the Geometry of Nature Fractal?
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