@Article{cmes.2020.09898,
AUTHOR = {Mayi Guo, Gang Zhao, Wei Wang, Xiaoxiao Du, Ran Zhang, Jiaming Yang},
TITLE = {T-Splines for Isogeometric Analysis of Two-Dimensional Nonlinear Problems},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {123},
YEAR = {2020},
NUMBER = {2},
PAGES = {821--843},
URL = {http://www.techscience.com/CMES/v123n2/38701},
ISSN = {1526-1506},
ABSTRACT = {Nonlinear behaviors are commonplace in many complex engineering
applications, e.g., metal forming, vehicle crash test and so on. This paper focuses
on the T-spline based isogeometric analysis of two-dimensional nonlinear problems including general large deformation hyperelastic problems and small deformation elastoplastic problems, to reveal the advantages of local refinement
property of T-splines in describing nonlinear behavior of materials. By applying
the adaptive refinement capability of T-splines during the iteration process of analysis, the numerical simulation accuracy of the nonlinear model could be
increased dramatically. The Bézier extraction of the T-splines provides an element
structure for isogeometric analysis that can be easily incorporated into existing
nonlinear finite element codes. In addition, T-splines show great superiority of
modeling complex geometries especially when the model is irregular and with
hole features. Several numerical examples have been tested to validate the accuracy and convergence of the proposed method. The obtained results are compared
with those from NURBS-based isogeometric analysis and commercial software
ABAQUS.},
DOI = {10.32604/cmes.2020.09898}
}