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Variational formulations for the linear viscoelastic problem in the time domain

  • Published:2015-11 Issue: Volume:54 Page:146-159
  • ISSN:0997-7538
  • Container-title:European Journal of Mechanics - A/Solids
  • language:en
  • Short-container-title:European Journal of Mechanics - A/Solids

Author:

Carini A.,Mattei O.

Funder

Italian Ministry of Education, University, and Research (MIUR)

Publisher

Elsevier BV

Subject

General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,General Materials Science

Reference79 articles.

1. Thermodynamics of Materials with Memory: Theory and Applications;Amendola,2012

2. Variational and Lagrangian methods in viscoelasticity, deformation and flow of Solids;Biot,1956

3. Variational-Lagrangian irreversible thermodynamics of nonlinear thermorheology;Biot;Quart. Appl. Math.,1976

4. The Theory of Linear Viscoelasticity;Bland,1960

5. Zur theorie der elastischen nachwirkung;Boltzmann;Math. Naturwiss Kl. Kaiserl. Akad. Wiss,1874

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1. Time domain analytical bounds to the homogenized viscous kernels of linear viscoelastic composites;European Journal of Mechanics - A/Solids;2023-11

2. On the effectiveness of convolutive type variational principles in the numerical solution of viscoelastic problems;Journal of Mechanics of Materials and Structures;2023-05-05

3. An Extremal Problem Arising in the Dynamics of Two‐Phase Materials That Directly Reveals Information about the Internal Geometry;Communications on Pure and Applied Mathematics;2022-09-03

4. Some open problems in the theory of composites;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2021-05-24

5. Bounds on complex polarizabilities and a new perspective on scattering by a lossy inclusion;Physical Review B;2017-09-19
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