Here in this paper we develop an isogeometric Bézier dual mortar method for coupling multi-patch Kirchhoff–Love shell structures. The proposed approach weakly enforces the continuity of the solution at patch interfaces through a dual mortar method and can be applied to both conforming and non-conforming discretizations. As the employed dual basis functions have local supports and satisfy the biorthogonality property, the resulting stiffness matrix is sparse. In addition, the coupling accuracy is optimal because the dual basis possesses the polynomial reproduction property. We also formulate the continuity constraints through the Rodrigues’ rotation operator which gives a unified framework for coupling patches that are intersected with G1 continuity as well as patches that meet at a kink. Several linear and nonlinear examples demonstrated the performance and robustness of the proposed coupling techniques.
Miao, Di, Zou, Zhihui, Scott, Michael A., Borden, Michael J., & Thomas, Derek C. (2021). Isogeometric Bézier dual mortaring: The Kirchhoff–Love shell problem. Computer Methods in Applied Mechanics and Engineering, 382. https://doi.org/10.1016/j.cma.2021.113873
Miao, Di, Zou, Zhihui, Scott, Michael A., et al., "Isogeometric Bézier dual mortaring: The Kirchhoff–Love shell problem," Computer Methods in Applied Mechanics and Engineering 382 (2021), https://doi.org/10.1016/j.cma.2021.113873
@article{osti_1759990,
author = {Miao, Di and Zou, Zhihui and Scott, Michael A. and Borden, Michael J. and Thomas, Derek C.},
title = {Isogeometric Bézier dual mortaring: The Kirchhoff–Love shell problem},
annote = {Here in this paper we develop an isogeometric Bézier dual mortar method for coupling multi-patch Kirchhoff–Love shell structures. The proposed approach weakly enforces the continuity of the solution at patch interfaces through a dual mortar method and can be applied to both conforming and non-conforming discretizations. As the employed dual basis functions have local supports and satisfy the biorthogonality property, the resulting stiffness matrix is sparse. In addition, the coupling accuracy is optimal because the dual basis possesses the polynomial reproduction property. We also formulate the continuity constraints through the Rodrigues’ rotation operator which gives a unified framework for coupling patches that are intersected with G1 continuity as well as patches that meet at a kink. Several linear and nonlinear examples demonstrated the performance and robustness of the proposed coupling techniques.},
doi = {10.1016/j.cma.2021.113873},
url = {https://www.osti.gov/biblio/1759990},
journal = {Computer Methods in Applied Mechanics and Engineering},
issn = {ISSN 0045-7825},
volume = {382},
place = {United States},
publisher = {Elsevier},
year = {2021},
month = {04}}
Kansas City Plant (KCP), Kansas City, MO (United States); University of Texas, Austin, TX (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); US Department of Defense (DoD)
Grant/Contract Number:
NA0002839; SC0017051
OSTI ID:
1759990
Alternate ID(s):
OSTI ID: 1828236
Journal Information:
Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Vol. 382; ISSN 0045-7825