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NUMERICAL ANALYSIS OF LAMINATED COMPOSITES USING SCALED BOUNDARY FINITE ELEMENT METHOD

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Cyrus He

on 18 October 2013

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Transcript of NUMERICAL ANALYSIS OF LAMINATED COMPOSITES USING SCALED BOUNDARY FINITE ELEMENT METHOD

NUMERICAL ANALYSIS OF LAMINATED COMPOSITES USING SCALED BOUNDARY FINITE ELEMENT METHOD
Table of Content
- Introduction

- Laminated composites

- Literature review

- Scaled boundary finite element method (SBFEM)
- Concept
- Meshing
- Scaling centre
- Coordinate transformation
- Benefits

- Results
- Rectangular bi-material plate
- Composite square plate

- Evaluation and further study
Results
Rectangular bi-material plate
Evaluation and Future study
WHY?
- Widely used
- bridge deck construction
- aerospace structures
- etc.
- Desired material properties

Source:http://en.wikipedia.org/wiki/Composite_material
Source:http://www.vectorply.com/ri-101.html
By: Yaorong HE (Cyrus)
Supervisor: Chongmin SONG

Scaled boundary finite element method(SBFEM)
Composite square plate
Analysis 1(Clamped support, uniformly distributed pressure)
Analysis 2 (Clamped support, non-uniform pressure)
Analysis 3 (Soft simply support, uniformly distributed pressure)
Analysis 4 (Soft simply support, non-uniform pressure)
Evaluation
- Consistent with FEM
- Fast convergence

Future study
- Different lay-ups
- Different geometry
- Different material properties
Analysis 1 (3 layers, 0.002m thickness, uniformly distributed pressure)
Analysis 2 (3 layers, 0.001m thickness, uniformly distributed pressure)
Analysis 3 (3 layers, 0.001m thickness, non-uniformly distributed pressure)
Analysis 4 (3 layers, 0.002m thickness, non-uniformly distributed pressure)
SBFEM
(10 fourth order elements)
FEM
SBFEM
(1 fourth order element)
FEM
(16 elements per edge)
Source: Wolf, J. & Song, C. 1997 “The scaled boundary finite-element method-alias consistent infinitesimal finite-element cell method--for elastodynamics.”Computer Methods in Applied Mechanics and Engineering,147(1997) 329-355.
Source:Song, C. 2009. "The scaled boundary finite element method in structural dynamics." International Journal for Numerical Methods in Engineering 77(8): 1139-1171.
Source: Man, H. et al., 2012. A unified 3D-based technique for plate bending analysis using scaled boundary finite element method. International Journal for …, (May), pp.491–515.
Concept of SBFEM
- Meshing
- Scaling centre
- Coordinate transformation
- Reduction of spatial dimension
- Mesh using 2-D elements
- Analytical solution in transverse direction
- Applicability
Benefits
Laminated composite
Literature review
- Definition

- Types of laminated composite

- Sandwich structure
- Uni-directionally reinforced laminate
- etc.
- An alternative alpha finite element method


- Higher order shear deformation theory


- Higher-order equivalent single layer theory


- etc.
(Thai-Hoang C, et al. 2011)
Source: http://upload.wikimedia.org/wikipedia/commons/7/7e/ACP_structure_-_small.png
(Soares, G, et al. 2011)
Source: Roylance, D., 2000. Laminated Composite Plates. Massachusetts Institute of Technology Cambridge, pp.1–17.
(Fantuzzi, N. 2013)
THANK YOU FOR LISTENING
(40*4 quadrilateral elements)
bridge deck panel
composite material
Rectangular bi-material plate
Composite square plate
Full transcript