@Article{cmes.2020.09920,
AUTHOR = {Gang Zhao, Jiaming Yang, Wei Wang, Yang Zhang, Xiaoxiao Du, Mayi Guo},
TITLE = {T-Splines Based Isogeometric Topology Optimization with Arbitrarily Shaped Design Domains},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {123},
YEAR = {2020},
NUMBER = {3},
PAGES = {1033--1059},
URL = {http://www.techscience.com/CMES/v123n3/39304},
ISSN = {1526-1506},
ABSTRACT = {In this paper, a new isogeometric topology optimization (ITO) method
is proposed by using T-splines based isogeometric analysis (IGA). The arbitrarily
shaped design domains, directly obtained from CAD, are represented by a single
T-spline surface which overcomes the topological limitations of Non-Uniform
Rational B-Spline (NURBS). The coefficients correlated with control points are
directly used as design variables. Therefore, the T-spline basis functions applied
for geometry description and calculation of structural response are simultaneously
introduced to represent the density distribution. Several numerical examples show
that the proposed approach leads to a coherent workflow to handle design problems of complicated structures. The optimized results are free of checkerboard
patterns without additional stabilization and filtering techniques due to the properties of T-splines, which also simplified the post-processing. In addition, through
performing local refinement, we can easily achieve multiresolution optimization
and infill optimization within the T-splines based framework. In general, the proposed method provides a possibility to design, analyze, and optimize engineering
structures in a uniform model, which has the potential to improve design effi-
ciency and reduce the cost of product development.},
DOI = {10.32604/cmes.2020.09920}
}