J. Phys. IV France 10 (2000) Pr9-9-Pr9-14
From rate independent to rate dependent constitutive behaviours for wave motions studiesP. Guélin1 and W.K. Nowacki2
1 Laboratoire 3S, UMR CNRS, Université J. Fourier, BP. 53, 38041 Grenoble cedex 9, France
2 Center of Mechanics, Institute of Fundamental Technological Research of Polish Academy of Sciences, ul. Swietokrzyska 21, 00-049 Warsaw, Poland
The main features of a lagrangian approach are briefly introduced. Illustrations are given through numerical solutions concerning the case of kinematics endowed with the spherical symmetry. Several types of constitutive behaviours are taken into account, namely those of linear or nonlinear elasticity, of linear or nonlinear viscoelasticity, of plasticity and of viscoplasticity. In general, the strains, the strain rates and the rates of strain rate are ranging from .1 to 1, from 103 to 104 s-1 and from 108 to 1010 s-2, respectively.
© EDP Sciences 2000