An extended isogeometric thin shell analysis based on Kirchhoff-Love theory

作者：Nguyen-Thanh, N.; Valizadeh, N.; Nguyen, M. N.; Nguyen-Xuan, H.; Zhuang, X.; Areias, P.; Zi, G.; Bazilevs, Y.; De Lorenzis, L.; Rabczuk, T.^*

来源：Computer Methods in Applied Mechanics and Engineering, 2015, 284: 265-291.

DOI：10.1016/j.cma.2014.08.025

• Thin shells
• Fracture mechanics
• Isogeometric analysis
• NURBS
• XFEM
• XIGA

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C-1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.

• 出版日期2015-2-1
• 单位同济大学