A selectively reduced degree basis for efficient mixed nonlinear isogeometric beam formulations with extensible directors

by   Myung Jin Choi, et al.

The effect of higher order continuity in the solution field by using NURBS basis function in isogeometric analysis (IGA) is investigated for an efficient mixed finite element formulation for elastostatic beams. It is based on the Hu-Washizu variational principle considering geometrical and material nonlinearities. Here we present a reduced degree of basis functions for the additional fields of the stress resultants and strains of the beam, which are allowed to be discontinuous across elements. This approach turns out to significantly improve the computational efficiency and the accuracy of the results. We consider a beam formulation with extensible directors, where cross-sectional strains are enriched to avoid Poisson locking by an enhanced assumed strain method. In numerical examples, we show the superior per degree-of-freedom accuracy of IGA over conventional finite element analysis, due to the higher order continuity in the displacement field. We further verify the efficient rotational coupling between beams, as well as the path-independence of the results.


page 1

page 2

page 3

page 4


Compatible-Strain Mixed Finite Element Methods for 3D Compressible and Incompressible Nonlinear Elasticity

A new family of mixed finite element methods-compatible-strain mixed fin...

An isogeometric finite element formulation for frictionless contact of Cosserat rods with unconstrained directors

This paper presents an isogeometric finite element formulation for nonli...

An electromechanically coupled beam model for dielectric elastomer actuators

In this work, the Cosserat formulation of geometrically exact beam dynam...

A novel hybrid isogeometric element based on two-field Hellinger-Reissner principle to alleviate different types of locking

In the present work, a novel class of hybrid elements is proposed to all...

A Numerical Analysis of a Micro-scale Piezoelectric Cantilever Beam: the Effect of Dimension Parameters on the Eigen Frequency

Eigen frequency is one of the most important system responses to be cons...

A fibre Smart Displacement Based (FSDB) beam element for the nonlinear analysis of R/C members

Beam finite elements for non linear plastic analysis of beam-like struct...

Novel weak form quadrature elements for non-classical higher order beam and plate theories

Based on Lagrange and Hermite interpolation two novel versions of weak f...

Please sign up or login with your details

Forgot password? Click here to reset