Generalized theory of diffusive stresses associated with the time-fractional diffusion equation and nonlocal constitutive equations for the stress tensor

DOI10.1016/j.camwa.2016.02.034zbMath1442.74006OpenAlexW2296673206MaRDI QIDQ2203238

Yu. Z. Povstenko

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.02.034

zbMATH Keywords

fractional calculuschemical potentialnonlocal elasticityWright functiondiffusive stresses

Mathematics Subject Classification ID

Stress (74A10) Chemical and reactive effects in solid mechanics (74F25)

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Cites Work

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• Theories of thermal stresses based on space-time-fractional telegraph equations
• On tensorial forms of thermodynamic potentials in mixtures theory
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Eshelby tensor as a tensor of free enthalpy
• On foundations of the theory of elastic media with microstructure
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• The Eshelby relation in mixtures
• Fractional thermoelasticity
• Toward a thermodynamics and mechanics of mixtures
• Non-axisymmetric solutions to time-fractional diffusion-wave equation in an infinite cylinder
• Nonlocal Continuum Field Theories
• Thermoelasticity with Finite Wave Speeds
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
• Fractional Calculus
• Heat waves
• A fractional calculus approach to the description of stress and strain localization in fractal media