The computation of rigorous upper and lower bounds for functional outputs of finite element solutions in large strain elasticity
Tutor / directorPeraire Guitart, Jaume
Document typeMinor thesis
Rights accessOpen Access
A finite element a posteriori method to compute rigorous inexpensive upper and lower bounds for engineering outputs of interest, in the field of large strain elasticity, is presented. Based on a general Lagrangian formulation, the bound computation requires global calculations on a finite element coarse mesh and the solution of local decoupled Neumann problems over each element of previous mesh. A new procedure to solve local problems is introduced, whereby bounds are computed locally over the continua for the exact solution in a completely analytical manner. The resulting method shows a considerable gain in computational performance and, besides being robust, can easily be incorporated into existing finite element codes without major modifications.
SubjectsStructural design, Structural analysis (Engineering), Disseny d'estructures per elements finits, Estructures, Teoria de les
DegreeENGINYERIA DE CAMINS, CANALS I PORTS (Pla 1995)