Time domain analytical bounds to the homogenized viscous kernels of linear viscoelastic composites

DOI10.1016/j.euromechsol.2023.105108zbMath1529.74066OpenAlexW4386002431MaRDI QIDQ6073385

Francesco Genna, Francesca Levi, Angelo Carini

Publication date: 15 September 2023

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2023.105108

zbMATH Keywords

time domainvariational principlerepresentative volume elementextremum theoremhomogenized Reuss viscous kernel

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30) Linear constitutive equations for materials with memory (74D05)

Cites Work

• Variational formulation for every nonlinear problem
• On the linear theory of viscoelasticity
• Extremum principles for linear initial-value problems of mathematical physics
• Variational formulations for the linear viscoelastic problem in the time domain
• On the variational formulation for linear initial value problems
• Effective behavior of linear viscoelastic composites: A time-integration approach
• Variational principles in the linear theory of viscoelasticity
• Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli
• On characterizing the set of possible effective tensors of composites: The variational method and the translation method
• An energetic formulation for the linear viscoelastic problem. Part I: Theoretical results and first calculations
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