Four-node quadrilateral element MITC4 applicable to both thick and thin shells is presented. The element formulation starts from three-dimensional continuum description degenerated to shell behavior. Shear locking, which is common problem in analysis of thin shells, is overcome by the use of MITC (Mixed Interpolation of Tensorial Components) approach. Element has been implemented into finite element code OOFEM and its performance is demonstrated on Scordelis-Lo shell, a benchmark problem frequently used in the evaluation of shell elements.
Application of isogeometric analysis (IGA) for curved beams is very convenient for its ability of exact representation of curved geometries. Several beam formulation has been presented since the introduction of IGA. In this paper, two different beam formulations are presented: Bernoulli beam formulation of A. M. Bauer et al. [1], and Timoshenko beam element introduced by G. Zhang et al. [2]. Both beam elements are implemented and their performance is documented on the fully threedimensionalexample of helicoidal spring.
Abstract. Isogeometric analysis is a new concept of Finite element method which has been proposed to bridge the gap between the CAD systems and the FEM solvers. In Isogeometric analysis, the same basis functions, typically splines or NURBS, are used for geometry description as well as for approximation of unknowns and thus the same model can be shared between CAD and IGA systems. This results in a higher accuracy and overall efficiency of the analysis.Many isogeometric elements have been already proposed and implemented into the existing finite element solvers, but the automatic connection with a CAD system is usually missing. Our goal is to develop such a connection and to provide a tool which would interactively run the analysis when the model changes. This approach can enormously enhance the design process as it can provide the basic knowledge about the structural behavior already in conceptual design phase.
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