@article{oai:ynu.repo.nii.ac.jp:00009940,
 author = {Zhang, Hongguan and Shibutani, Tadahiro},
 issue = {1},
 journal = {International journal for numerical methods in engineering},
 month = {Apr},
 note = {In this paper, a new method is proposed that extend the classical deterministic isogeometric analysis (IGA) into a probabilistic analytical framework in order to evaluate the uncertainty in shape and aim to investigate a possible extension of IGA in the field of computational stochastic mechanics. Stochastic IGA (SIGA) method for uncertainty in shape is developed by employing the geometric characteristics of the non‐uniform rational basis spline and the probability characteristics of polynomial chaos expansions (PCE). The proposed method can accurately and freely evaluate problems of uncertainty in shape caused by deformation of the structural model. Additionally, we use the intrusive formulation approach to incorporate PCE into the IGA framework, and the C++ programming language to implement this analysis procedure. To verify the validity and applicability of the proposed method, two numerical examples are presented. The validity and accuracy of the results are assessed by comparing them to the results obtained by Monte Carlo simulation based on the IGA algorithm., This is the peer reviewed version of the following article: [Hongguan Zhang et al 2019 International journal for numerical methods in engineering vol.118 no.1 pp.18-37], which has been published in final form at [https://doi.org/10.1002/nme.6008]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.},
 pages = {18--37},
 title = {Development of stochastic isogeometric analysis (SIGA) method for uncertainty in shape},
 volume = {118},
 year = {2019}
}