publication . Article . 2015

Variational formulations for the linear viscoelastic problem in the time domain

Ornella Mattei;
  • Published: 06 Jun 2015 Journal: European Journal of Mechanics - A/Solids, volume 54, pages 146-159 (issn: 0997-7538, Copyright policy)
  • Publisher: Elsevier BV
Abstract Under the assumption of small displacements and strains, we formulate new variational principles for the linear viscoelastic hereditary problem, extending the well-known Hu-Washizu, Hellinger-Reissner, Total Potential Energy, and Complementary Energy principles related to the purely elastic problem. In addition, a new global minimum formulation is derived, giving an energetic interpretation. The new formulations are based on a convolutive bilinear form of the Stieltjes type and on the division of the time domain into two equal parts, with the resulting decomposition of the variables and of the equations governing the problem. In particular, the global m...
free text keywords: Mechanical Engineering, General Physics and Astronomy, General Materials Science, Mechanics of Materials
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