The solution of structural mechanics problems involving aging viscoelastic materials usually requires cumbersome techniques based on stesp by step integration in time. Recently a variational formulation of this problem has been developed making it possible to find the approximate solution via the Ritz method. This paper proposes a method which permits a remarkable improvement in the convergence for that wide class of aging viscoelastic problems in which the data does not excessively vary in time and the viscous kernel roughly decreases in time. The method is based on a convenient choice of the measure for the temporal interval in which the problem is posed and furnishes a vary fast convergence. The results are discussed for a case in which the analytical solution is available and for a classic mechanics problem not solved in closed form.
Ritz approximation in aging viscoelastic problems
DALL'ASTA, Andrea
1994-01-01
Abstract
The solution of structural mechanics problems involving aging viscoelastic materials usually requires cumbersome techniques based on stesp by step integration in time. Recently a variational formulation of this problem has been developed making it possible to find the approximate solution via the Ritz method. This paper proposes a method which permits a remarkable improvement in the convergence for that wide class of aging viscoelastic problems in which the data does not excessively vary in time and the viscous kernel roughly decreases in time. The method is based on a convenient choice of the measure for the temporal interval in which the problem is posed and furnishes a vary fast convergence. The results are discussed for a case in which the analytical solution is available and for a classic mechanics problem not solved in closed form.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
