An approach to generalized one-dimensional self-similar elasticity

DOI10.1016/j.ijengsci.2012.06.014zbMath1423.74102OpenAlexW2082623375MaRDI QIDQ1660010

Shahram Derogar, Mujibur Rahman, Andrzej F. Nowakowski, Franck C. G. A. Nicolleau, Gérard A. Maugin, Thomas M. Michelitsch

Publication date: 23 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2012.06.014

zbMATH Keywords

nonlocalityelasticityself-similarityLaplacianfractalsfractional integrals

Mathematics Subject Classification ID

Classical linear elasticity (74B05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

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Cites Work

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• Quantitative universality for a class of nonlinear transformations
• A fractional model of continuum mechanics
• On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
• The self-similar field and its application to a diffusion problem
• Nonlocal Continuum Field Theories
• A continuum theory for one-dimensional self-similar elasticity and applications to wave propagation and diffusion

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