Three-dimensional variable-node elements based upon CS-FEM for elastic–plastic analysis

•A new formulation of VNEs (variable-node elements) based on S-FEM is proposed.•The application of CS-FEM is extended to three-dimensional elastoplastic analysis.•The proposed VNEs are useful for connecting nonmatching FE meshes.•The effectiveness of the proposed VNEs is demonstrated through numeric...

Full description

Saved in:
Bibliographic Details
Published inComputers & structures Vol. 158; pp. 308 - 332
Main Authors Lee, Kyehyung, Son, Youngtak, Im, Seyoung
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2015
Subjects
CS-FEM (cell-based smoothed finite element method)
Deformation
Elastic deformation
Elastic limit
Elasto-plasticity
Finite deformation
Finite element method
Formulations
Hyperelasticity
Mathematical analysis
Three dimensional
Variable-node elements
Volumetric strain
Elasto-plasticity
CS-FEM (cell-based smoothed finite element method)
Finite deformation
Variable-node elements
Hyperelasticity
Online AccessGet full text

Cover

More Information
Summary:•A new formulation of VNEs (variable-node elements) based on S-FEM is proposed.•The application of CS-FEM is extended to three-dimensional elastoplastic analysis.•The proposed VNEs are useful for connecting nonmatching FE meshes.•The effectiveness of the proposed VNEs is demonstrated through numerical examples. In this paper, variable-node elements (VNEs) based on the cell-based smoothed finite element method (CS-FEM) are proposed with emphasis on their applications for elasto-plastic finite deformation. The formulation of CS-FEM is extended to cover elastic–plastic deformations beyond the classical linear theory of elasticity, which has been the major application domain of smoothed finite elements. The finite strain deformations are treated with the aid of the formulation based on the hyperelastic constitutive equation. The volumetric locking originating from the nearly incompressible behavior of elasto-plastic deformations is remedied by relaxing volumetric strain through its mean value. In addition, the existing VNEs limited to linear elastic analysis is extended to analysis of elasto-plastic deformations with the aid of CS-FEM. The comparison with the conventional finite elements and Abaqus demonstrates the effectiveness and accuracy of the present approach.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2015.06.005