R. Chambon et al., ONE-DIMENSIONAL LOCALIZATION STUDIED WITH A 2ND GRADE MODEL, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 323(4), 1996, pp. 231-238
Second grade models are now used to include a meso scale in continuous
models. A simple one-dimensional second grade model is presented. Ana
lytical solutions of boundary value problems involving such a model ar
e established. This study shows that for such models non-uniqueness ca
n be proved. This gives reference solutions which are used to test a f
inite element model.