Journal
COMPUTATIONAL MECHANICS
Volume 53, Issue 6, Pages 1341-1353Publisher
SPRINGER
DOI: 10.1007/s00466-014-0978-4
Keywords
Isogeometric analysis; Solid-shell NURBS element; Assumed Natural Strain; Shear locking; Membrane locking
Funding
- Ministrio da Educao e Cincia, Portugal [SFRH/BD/70815/2010, PTDC/EMS- TEC/0899/2012]
- European Research Council through the Project ISOBIO [259229]
- European Research Council (ERC) [259229] Funding Source: European Research Council (ERC)
- Fundação para a Ciência e a Tecnologia [PTDC/EMS-TEC/0899/2012, SFRH/BD/70815/2010] Funding Source: FCT
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In isogeometric analysis (IGA), the functions used to describe the CAD geometry (such as NURBS) are also employed, in an isoparametric fashion, for the approximation of the unknown fields, leading to an exact geometry representation. Since the introduction of IGA, it has been shown that the high regularity properties of the employed functions lead in many cases to superior accuracy per degree of freedom with respect to standard FEM. However, as in Lagrangian elements, NURBS-based formulations can be negatively affected by the appearance of non-physical phenomena that lock the solution when constrained problems are considered. In order to alleviate such locking behaviors, the Assumed Natural Strain (ANS) method proposed for Lagrangian formulations is extended to NURBS-based elements in the present work, within the context of solid-shell formulations. The performance of the proposed methodology is assessed by means of a set of numerical examples. The results allow to conclude that the employment of the ANS method to quadratic NURBS-based elements successfully alleviates non-physical phenomena such as shear and membrane locking, significantly improving the element performance.
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