Tese: Topology optimization of hyperelastic structures based on interpolation methods
Aluno(a) : Vinicius Oliveira FontesOrientador(a): Anderson Pereira
Área de Concentração: Mecânica Aplicada
Data: 30/09/2020
Link para tese/dissertação: http://doi.org/10.17771/PUCRio.acad.52861
Resumo: The optimized design of structures considering nonlinearities has been widely reasearched in the recent decades. The finite element analysis applied to topology optimization is jeopardized from excessive deformation of low-density elements under high compression, which hinders the process of finding an optimal solution. Two methods, Energy Interpolation and Additive Hyperelasticity, are implemented to overcome this difficulty in the minimum compliance problem, and hyperelastic material models are used to investigate their influence on the optimized topology. The Method of Moving Asymptotes is used to update the design variables whose sensitivities were calculated from the adjoint method. The state equation is solved through the Newton-Raphson method with an adjusting load step to reduce computational cost. Results for two benchmark problems are compared with those already estabilished in the literature. The use of different hyperelastic models presented little influence on the final design of the structure. The Energy Interpolation method was able to converge for much higher loads than the default method, while Additive Hyperelasticity did not show any significant improvements on plane strain.