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Minimum free energies for materials with finite memory

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Publication:702318
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DOI10.1023/B:ELAS.0000018771.71385.05zbMath1079.74015OpenAlexW4251194987MaRDI QIDQ702318

Mauro Fabrizio, John Murrough Golden

Publication date: 17 January 2005

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:elas.0000018771.71385.05


zbMATH Keywords

Fourier transformsingularityrelaxation functionquasi-static viscoelastic membrane


Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Energy minimization in equilibrium problems in solid mechanics (74G65) Linear constitutive equations for materials with memory (74D05) Membranes (74K15)


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The state of fractional hereditary materials (FHM) ⋮ The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs ⋮ A new approach to equations with memory ⋮ A proposal concerning the physical rate of dissipation in materials with memory ⋮ A Proposal Concerning the Physical Rate of Dissipation of Materials with Memory: The Non-isothermal Case ⋮ On the exponential stability of a nonlinear Kuramoto-Sivashinsky-Korteweg-de Vries equation with finite memory ⋮ Nonisothermal free energies for linear theories with memory



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