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Object-oriented architecture for high-order FEM with applications on structural mechanics

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Author(s):
Rodrigo Alves Augusto
Total Authors: 1
Document type: Doctoral Thesis
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Mecânica
Defense date:
Examining board members:
Marco Lúcio Bittencourt; Carlos Alberto Cimini Júnior; Auteliano Antunes dos Santos Júnior; Bruno Souza Carmo; Pablo Andrés Muñoz Rojas
Advisor: Marco Lúcio Bittencourt
Abstract

This thesis presents an object oriented architecture for the High-Order Finite Element Method (HO-FEM) to solve problems of large deformations in structural mechanics. The software hp2fem was implemented using the Matlab programming language and is fully modular and easily extensible to any problem. The formulation of large deformation considered the kinematic, stress-strain operators and constitutive equations. The solution of nonlinear system equations is performed by the Newton-Raphson method. Results are presented for the simulation of large deformation problem using neo-Hookean compressible material in 2D and 3D problems and the high order methods. Also, contact problems and shape optimization are performed here. It is concluded that the architecture works very well and that the use of the HO-FEM brings great benefits in terms of convergence rate (AU)