A Corotational Formulation for Large Displacement Analysis of Functionally Graded Sandwich Beam and Frame Structures
Joint Authors
Nguyen, Dinh Kien
Tran, Thi Thom
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A corotational finite element formulation for large displacement analysis of planar functionally graded sandwich (FGSW) beam and frame structures is presented.
The beams and frames are assumed to be formed from a metallic soft core and two symmetric functionally graded skin layers.
The Euler-Bernoulli beam theory and von Kármán nonlinear strain-displacement relationship are adopted for the local strain.
Exact solution of nonlinear equilibrium equations for a beam segment is employed to interpolate the displacement field for avoiding the membrane locking.
An incremental-iterative procedure is used in combination with the arc-length control method to compute the equilibrium paths.
Numerical examples show that the proposed formulation is capable of evaluating accurately the large displacement response with just several elements.
A parametric study is carried out to highlight the effect of the material distribution, the core thickness to height ratio on the large displacement behaviour of the FGSW beam, and frame structures.
American Psychological Association (APA)
Nguyen, Dinh Kien& Tran, Thi Thom. 2016. A Corotational Formulation for Large Displacement Analysis of Functionally Graded Sandwich Beam and Frame Structures. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1112346
Modern Language Association (MLA)
Nguyen, Dinh Kien& Tran, Thi Thom. A Corotational Formulation for Large Displacement Analysis of Functionally Graded Sandwich Beam and Frame Structures. Mathematical Problems in Engineering No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1112346
American Medical Association (AMA)
Nguyen, Dinh Kien& Tran, Thi Thom. A Corotational Formulation for Large Displacement Analysis of Functionally Graded Sandwich Beam and Frame Structures. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1112346
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112346