B. Nedjar et M. Reynier, ERROR ON THE CONSTITUTIVE RELATION IN THE NONLINEAR FORMULATION OF ELASTIC BEAMS - THE PLANE CASE, Computer methods in applied mechanics and engineering, 160(3-4), 1998, pp. 299-314
The error measure we propose in this study is based on the mechanics c
oncept of error on the constitutive relation. The error on the constit
utive relation has already been used for the updating of elastic struc
tures in dynamics, under the small perturbation assumption. Here, we e
xtend this concept to the context of geometrically nonlinear elastic b
eams (large rotations and finite strains). It is shown that the propos
ed strategy, which uses measured experimental data, enables us to loca
te damaged substructures or, if the quality of the model is to be chec
ked, the method provides the location of the zones of modelling errors
. The formulation and its derivation are developed and a complete algo
rithmic treatment is presented. The implications of the formulation of
the errors location discussed in this paper are illustrated through a
set of numerical examples. (C) 1998 Elsevier Science S.A. All rights
reserved.