Linear and nonlinear hirarchical plate models and a posteriori kinematical error estimator.

Author(s)

Eduardo Tenório Simões

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Escola Politécnica (EP/BC)
• Defense date: 2015-02-26

Examining board members

Paulo de Mattos Pimenta; Carlos Alberto Cimini Junior; Paulo de Tarso Rocha de Mendonça; Ruy Marcelo de Oliveira Pauletti; Raul Rosas e Silva

• Advisor: Paulo de Mattos Pimenta

Abstract

This study explores the use of hierarchical models to represent three-dimensional solids in a computationally inexpensive way. First, it is investigated the choice of the finite element spaces and how it affects the convergence in relation to the thickness parameter. It was studied three different models. It was shown that the best lowest order suitable combination of spaces grows in all fields as the model order is enriched. After, it is presented a theory to evaluate the error in the discretization and the kinematical hypothesis. It is shown that the implemented error in discretization technique is capable of capturing the boundary layer in automated way for any model. It is also given a posteriori error procedure for kinematical hypothesis. The method is based on the equilibrium error of higher order models. Good results are shown. In the end, it is presented a geometrical nonlinear hierarchical shell model and its discretization. It is shown that the model succeeds in representing the three-dimensional solution when compared with solid elements in a commercial code. (AU)

• FAPESP's process: 10/17657-4 - Higher order nonlinear models for composite shells and their implementation with the aid of a simple triangular finite elemento
• Grantee: Eduardo Tenório Simões
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)