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

DOI10.1016/j.ijengsci.2020.103244zbMath1476.74120OpenAlexW3007439371MaRDI QIDQ2004339

Arcady V. Dyskin, Elena Pasternak

Publication date: 14 October 2020

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://research-repository.uwa.edu.au/en/publications/c6a50092-7dc9-463d-91a9-feabac57faea

zbMATH Keywords

power lawmultiscale modellingeffective characteristicswave velocitiesaverage stressaverage strainuniversality of scaling

Mathematics Subject Classification ID

Micromechanics of solids (74M25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The differential scheme and its application to cracked materials
• Scaling laws and renormalization groups for strength and toughness of disordered materials
• Some fractal models of fracture
• Critical phenomena in natural sciences. Chaos, fractals, selforganization and disorder: concepts and tools
• Effective characteristics and stress concentrations in materials with self-similar microstructure
• Overall moduli of solids with microcracks: load-induced anisotropy
• Scaling of Effective Moduli of Generalised Continua
• On Fractal Cracks in Micropolar Elastic Solids
• Statistical Damage Mechanics— Part I: Theory
• The effect of cracks on the compressibility of rock
• The effect of cracks on the uniaxial elastic compression of rocks
• A fractional calculus approach to the description of stress and strain localization in fractal media

This page was built for publication: Discrete self-similarity of multiscale materials and systems. Universality of scaling exponents