New variational principles in quasi-static viscoelasticity

Abstract

Summary. A "saddle point" (or maximum-minimum) principle is set up for the qu static boundary-value problem in linear viscoelasticity. The appropriate class of convolut type functionals for it is taken in terms of bilinear forms with a weight function involv 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 further linear evolution problems where initial data are not prescribed.

Variational principles for electromagnetic systems with memory

“…Neverthless, as observed in [7], this method can be modified for the treatement of quasi-static problems. Neverthless, as observed in [7], this method can be modified for the treatement of quasi-static problems.…”

“…Moving along the lines of [7], let Y be a real function belonging to L I(R + ) and Ye be its even extension, i.e. :…”