Isogeometric analysis of thin Reissner-Mindlin plates and shells: locking phenomena and B-bar method

by   Qingyuan Hu, et al.

We propose a local type of B-bar formulation, addressing locking in degenerated Reissner-Mindlin plate and shell formulations in the context of isogeometric analysis. Parasitic strain components are projected onto the physical space locally, i.e. at the element level, using a least-squares approach. The formulation allows the flexible utilization of basis functions of different order as the projection bases. The present formulation is much cheaper computationally than the classical B̅ method. We show the numerical consistency of the scheme through numerical examples, moreover they show that the proposed formulation alleviates locking and yields good accuracy even for slenderness ratios of 1 × 10^5, and has the ability to capture deformations of thin shells using relatively coarse meshes. In addition it can be opined that the proposed method is less sensitive to locking and mesh distortion.



There are no comments yet.


page 15

page 21

page 22

page 23

page 24

page 26

page 27

page 28


Isogeometric analysis of thin Reissner-Mindlin plates and shells: Locking phenomena and generalized local B̅ method

We propose a generalized local B̅ framework, addressing locking in degen...

A second-order face-centred finite volume method on general meshes with automatic mesh adaptation

A second-order face-centred finite volume strategy on general meshes is ...

A semi-implicit high-order space-time scheme on staggered meshes for the 2D incompressible Navier-Stokes equations

A new high order accurate semi-implicit space-time Discontinuous Galerki...

The direct force correction based framework for general co-rotational analysis

The use of nonlinear projection matrix in co-rotational (CR) analysis wa...

Electromagnetic Modeling of Lossy Materials with a Potential-Based Boundary Element Method

The boundary element method (BEM) enables solving three-dimensional elec...

A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells

In this work, we focus on the family of shell formulations referred to a...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.