On the thermodynamical restrictions in isothermal deformations of fractional Burgers model

DOI10.1098/rsta.2019.0278zbMath1462.74029OpenAlexW3023663330WikidataQ94599010 ScholiaQ94599010MaRDI QIDQ4994602

Marko Janev, Stevan Pilipović, Teodor M. Atanacković

Publication date: 20 June 2021

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7287320

zbMATH Keywords

mathematical physicsdissipativity conditionBochner-Schwartz theoremfractional Burgers model

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05)

Related Items

A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations ⋮ Fractional Burgers wave equation on a finite domain ⋮ Wave propagation dynamics in a fractional Zener model with stochastic excitation ⋮ Restrictions in a distributed complex fractional order linear constitutive equations of viscoelasticity ⋮ Moving point load on a beam with viscoelastic foundation containing fractional derivatives of complex order ⋮ Restrictions on parameters in distributed order fractional linear constitutive equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods
• On a distributed derivative model of a viscoelastic body
• On the concepts of state and free energy in linear viscoelasticity
• Introduction to the thermodynamics of solids.
• A modified Zener model of a viscoelastic body
• Fractional rheological models for thermomechanical systems. Dissipation and free energies
• Thermodynamics of Materials with Memory
• Das ungelöste Hauptproblem der endlichen Elastizitätstheorie
• Note: Logarithmic Relaxation Spectrum for Viscoelastic Solids
• On the Fractional Calculus Model of Viscoelastic Behavior
• Space–time fractional Zener wave equation
• Fractional Calculus With Applications in Mechanics
• On dissipation inequalities and linear viscoelasticity
• Fractional Calculus with Applications in Mechanics