@article{1f6d5ed7113c408b96d25c3e66bf78df,
title = "On structural topology optimization considering material nonlinearity: Plane strain versus plane stress solutions",
abstract = "We present a structural topology optimization framework considering material nonlinearity by means of a tailored hyperelastic formulation. The nonlinearity is incorporated through a hyperelastic constitutive model, which is capable of capturing a range of nonlinear material behavior under both plane strain and plane stress conditions. We explore both standard (i.e. quadrilateral) and polygonal finite elements in the solution process, and achieve smooth convergence in both the optimization process and the solution of nonlinear state equations. Numerical examples are presented, which demonstrate that the topology optimization framework can effectively capture the influence of various material behaviors, load levels and loading conditions (i.e. plane stress versus plane strain) on the optimal topologies.",
keywords = "Material nonlinearity, Ogden-based model, Plane strain, Plane stress, Topology optimization",
author = "Heng Chi and Ramos, {Davi L.} and Ramos, {Adeildo S.} and Paulino, {Glaucio H.}",
note = "Funding Information: The authors acknowledge the financial support from the US National Science Foundation (NSF) under project # 1663244 , from the Brazilian agency CNPq (National Council for Research and Development), and from the Laboratory of Scientific Computing and Visualization (LCCV) at the Federal University of Alagoas (UFAL). We are also grateful for the endowment provided by the Raymond Allen Jones Chair at the Georgia Institute of Technology. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies. Funding Information: The authors acknowledge the financial support from the US National Science Foundation (NSF) under project #1663244, from the Brazilian agency CNPq (National Council for Research and Development), and from the Laboratory of Scientific Computing and Visualization (LCCV) at the Federal University of Alagoas (UFAL). We are also grateful for the endowment provided by the Raymond Allen Jones Chair at the Georgia Institute of Technology. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies. Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",
year = "2019",
month = may,
doi = "10.1016/j.advengsoft.2018.08.017",
language = "English (US)",
volume = "131",
pages = "217--231",
journal = "Advances in Engineering Software",
issn = "0965-9978",
publisher = "Elsevier Limited",
}