Journal article
On the use of elastic middle surface approach in the large deformation analysis of moderately thick shell structures using absolute nodal coordinate formulation
Nonlinear dynamics, Vol.80(3), pp.1133-1146
05/2015
DOI: 10.1007/s11071-015-1931-6
Abstract
In this study, a shear deformable shell element is developed based on the elastic middle surface approach using the absolute nodal coordinate formulation (ANCF) for the large deformation analysis of thin to moderately thick shell structures. The bilinear shape function is used to define the global position vector in the middle surface and the transverse gradient vector which defines the orientation and deformation of the cross section within the element. The plane stress assumption is used to remedy the Poisson’s thickness locking exhibited in the ANCF shell element formulated by the continuum mechanics approach, thus the stress distribution along the shell thickness is assumed to be constant. The cross-sectional frame is introduced to define strains of the initially curved shell element using the elastic middle surface approach. The curvature thickness and transverse shear lockings are alleviated using the assumed natural strain method, while the in-plane shear locking is removed using the enhanced assumed strain method. Several numerical examples are presented in order to demonstrate the performance of the shear deformable ANCF shell element based on the elastic middle surface approach developed in this study. The developed element is compared with the continuum mechanics-based ANCF shell element to shed light on the nature of the thickness locking exhibited in the bilinear shell element and its locking remedies.
Details
- Title: Subtitle
- On the use of elastic middle surface approach in the large deformation analysis of moderately thick shell structures using absolute nodal coordinate formulation
- Creators
- Antti Valkeapää - Department of Mechanical Engineering Lappeenranta University of Technology Skinnarilankatu 34 53850 Lappeenranta FinlandHiroki Yamashita - Department of Mechanical and Industrial Engineering The University of Iowa Iowa City IA 52242 USAParamsothy Jayakumar - US Army RDECOM TARDEC 6501 E. 11 Mile Road Warren MI 48397-5000 USAHiroyuki Sugiyama - Department of Mechanical and Industrial Engineering The University of Iowa Iowa City IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Nonlinear dynamics, Vol.80(3), pp.1133-1146
- Publisher
- Springer Netherlands; Dordrecht
- DOI
- 10.1007/s11071-015-1931-6
- ISSN
- 0924-090X
- eISSN
- 1573-269X
- Language
- English
- Date published
- 05/2015
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064573302771
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