On thermodynamics and stability problems in linear viscoelasticity
Received: 18 March 2009
Mathematics Subject Classification: 73B30
Abstract The paper investigates some features of models of linear viscoelastic solids. Two main results are exhibited. First, the second law of thermodynamics and a dissipativity inequality are shown to be different from an inequality sometimes used in stability problems. Second, such an inequality is proved to be overly restrictive in that makes the viscoelastic solid be elastic.