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Nonlinear shell models in elasticity and elastoplasticity at finite strains: theory and finite element formulation.

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Author(s):
Eduardo de Morais Barreto Campello
Total Authors: 1
Document type: Doctoral Thesis
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Escola Politécnica (EP/BC)
Defense date:
Examining board members:
Paulo de Mattos Pimenta; Marcilio Alves; Ronaldo Carvalho Battista; Alvaro Luiz Gayoso de Azeredo Coutinho; Peter Wringgers
Advisor: Paulo de Mattos Pimenta
Abstract

This work presents geometrically-exact finite-strain shell models for the solution of large deformation shell problems. Finite rotations are treated by the Euler-Rodrigues formula in a fully exact way, and cross-sectional resultants are consistently defined. Both hiperelasticity and elastoplasticity are considered. A special displacement-based triangular finite element is introduced, over which the models are implemented. Locking is not observed as the performance of the element and accuracy of the formulations are assessed by means of several numerical examples. Excellent results are found. (AU)