@article{JAMES201297,
title = "An isoparametric approach to level set topology optimization using a body-fitted finite-element mesh",
journal = "Computers & Structures",
volume = "90-91",
pages = "97 - 106",
year = "2012",
issn = "0045-7949",
doi = "https://doi.org/10.1016/j.compstruc.2011.10.004",
url = "http://www.sciencedirect.com/science/article/pii/S0045794911002513",
author = "Kai A. James and Joaquim R.R.A. Martins",
keywords = "Topology optimization, Level set method, Body-fitted mesh, Finite element analysis, Isoparametric finite elements",
abstract = "We present a new method for performing level set topology optimization of structures confined to irregularly-shaped physical domains. The shape sensitivities are computed in physical space using a body-fitted, non-uniform finite-element mesh. These values are then mapped to the Euclidean computational space using the Jacobian matrix of the isoparametric transformation taking place within each cell. The method is demonstrated on a three-dimensional problem in which we minimize the compliance of a contoured wingbox structure. Results show that the method converges consistently, and generates solutions comparable to those obtained using the SIMP method."
}