New variational principles in quasi-static viscoelasticity

✍ Scribed by C. Giorgi; A. Marzocchi

• Publisher: Springer Netherlands
• Year: 1992
• Tongue: English
• Weight: 415 KB
• Volume: 29
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00043446

✦ Synopsis

A "saddle point" (or maximum-minimum) principle is set up for the quasi-static boundary-value problem in linear viscoelasticity. The appropriate class of convolution-type functionals for it is taken in terms of bilinear forms with a weight function involving the Fourier transform. The "minimax" property is shown to hold as a direct consequence of thermodynamic restrictions on the relaxation function. This approach can be extended to further linear evolution problems where initial data are not prescribed.