Eventos Anais de eventos
CONEM 2018
X Congresso Nacional de Engenharia Mecânica
ENERGY INTERPOLATION SCHEME FOR TOPOLOGY OPTIMIZATION OF NONLINEAR ELASTIC STRUCTURES
Submission Author:
André Xavier Leitão , RJ , Brazil
Co-Authors:
André Xavier Leitão, Anderson Pereira
Presenter: André Xavier Leitão
doi://10.26678/ABCM.CONEM2018.CON18-0804
Abstract
Most topology optimization applications in elasticity problems are limited to linear elastic materials and small deformations. However, there are many problems which depict large displacements and a nonlinear theory is required. For loads which magnitudes are within the nonlinear regime, the final shape changes significantly when the optimization considers the nonlinear behavior. The present article aims to study an energy interpolation scheme based on elastic strain function to alleviate the convergence issues related to excessive distortions in void elements. The sensitivity analysis is calculated using the adjoint method. The generalized displacement control method (GDCM) is used to determine the equilibrium points at each step of the nonlinear solution, including the so-called limit points where the Newton-Raphson method fails. Accuracy and applicability of the interpolation scheme are demonstrated by means of a benchmark topology optimization example. The obtained results are in agreement with those in literature and show that the nonlinear theory plays an important role in the optimum design of structural systems, so they must be taken into account when the structure is subject to nonlinear regime.
Keywords
Topology optimization, geometric nonlinear analysis, energy interpolation, Finite Elements, Adjoint method
