On the theory of diffusion in linear viscoelastic media

DOI10.1007/BF01303342zbMath0511.73127MaRDI QIDQ1839107

Yanyan Li

Publication date: 1982

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

free energy functionalpure bendinginitial boundary value problemsexamplechemical potentialclassicallinear viscoelastic mediaconnection between linear differential operator laws and hereditary lawselastodiffusionequivalence between differential operators and integral operatorsisothermal infinitesimal viscoelasto-diffusive processesmore general constitutive assumptionsnon-classical diffusion processesstandard viscoelastic beamviscoelasto-diffusion

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Dynamical problems in solid mechanics (74H99) Diffusion and convection (76R99) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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Poroviscoelasticity of transversely isotropic cylinders under laboratory loading conditions ⋮ Modeling of structural mechanics, moisture diffusion, and heat conduction coupled with physical aging in thin plastic plates ⋮ Drug Release from Viscoelastic Swelling Polymeric Platforms ⋮ Dynamic behavior of saturated poroviscoelastic media ⋮ Dual-porosity poroviscoelasticity and quantitative hydromechanical characterization of the brain tissue with experimental hydrocephalus data

Cites Work

• On the linear theory of viscoelasticity
• On the problem of diffusion in solids
• Variational functional for diffusion in a solid with memory
• The periodic points of maps of the disk and the interval
• On the theory of stress-assisted diffusion. I
• The correspondence principle of linear viscoelasticity for problems that involve time-dependent regions
• Stress analysis in visco-elastic bodies
• Foundations of Linear Viscoelasticity
• Unnamed Item
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