Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6917374 | Computer Methods in Applied Mechanics and Engineering | 2014 | 28 Pages |
Abstract
A general mathematical framework is proposed, in this paper, to define new quadrature rules in the context of B-spline/NURBS-based isogeometric analysis. High order continuity across the elements within a patch turned out to have higher accuracy than C0 finite elements, as well as a better time efficiency. Unfortunately, a maximum regularity accentuates the shear and membrane locking in thick structural elements. The improved selective reduced integration schemes are given for uni-dimensional beam problems, with basis functions of order two and three, and can be easily extended to higher orders. The resulting B-spline/NURBS finite elements are free from membrane and transverse shear locking. Moreover, no zero energy modes are generated. The performance of the approach is evaluated on the classical test of a cantilever beam subjected to a distributed moment, and compared to Lagrange under-integrated finite elements.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
C. Adam, S. Bouabdallah, M. Zarroug, H. Maitournam,