Estimation of effective moduli of composites through self-consistent scheme
The purpose of this project is to extend Budiansky’s (1965) self-consistent method and inclusion-matrix-composite theory of Christensen and Lo (1979) to the development of a new method that would serve as an alternative to Tang’s (2017) averaging procedure in associating structural properties at the...
Saved in:
Main Author: | |
---|---|
Other Authors: | |
Format: | Final Year Project |
Language: | English |
Published: |
2017
|
Subjects: | |
Online Access: | http://hdl.handle.net/10356/73059 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
id |
sg-ntu-dr.10356-73059 |
---|---|
record_format |
dspace |
spelling |
sg-ntu-dr.10356-730592023-03-04T18:26:20Z Estimation of effective moduli of composites through self-consistent scheme Kavin Raj Nedumaran Fan Hui School of Mechanical and Aerospace Engineering DRNTU::Engineering The purpose of this project is to extend Budiansky’s (1965) self-consistent method and inclusion-matrix-composite theory of Christensen and Lo (1979) to the development of a new method that would serve as an alternative to Tang’s (2017) averaging procedure in associating structural properties at the macroscopic level with microscopic crack distributions. This method involved the development of a numerical version of the self-consistent scheme. The numerical simulations consisted of the estimation of the effective moduli of various composite geometries, through an iterative process of strain energy equivalence, under 2D plane strain conditions. The iterative process involved the assumption of the total sum of elemental strain energy of the microscopic model, S.E.MICRO, to be approximately equal to the total sum of elemental strain energy, of the macroscopic model, S.E.MACRO. The finite element method was specifically used to develop the numerical simulation. The numerical simulations were carried out through Mechanical ANSYS Parametric Design Language (APDL), a Finite Element Analysis software. This investigation, which examined how changes in the dimensionless inclusion length-matrix width, a/b, affected effective elastic modulus, EEFF, values, was carried out through a parametric study. This investigation might not be directly applying the theory of the self-consistent scheme, but it is however treated in the ‘spirit’ of the method. Bachelor of Engineering (Mechanical Engineering) 2017-12-27T04:36:22Z 2017-12-27T04:36:22Z 2017 Final Year Project (FYP) http://hdl.handle.net/10356/73059 en Nanyang Technological University 56 p. application/pdf |
institution |
Nanyang Technological University |
building |
NTU Library |
continent |
Asia |
country |
Singapore Singapore |
content_provider |
NTU Library |
collection |
DR-NTU |
language |
English |
topic |
DRNTU::Engineering |
spellingShingle |
DRNTU::Engineering Kavin Raj Nedumaran Estimation of effective moduli of composites through self-consistent scheme |
description |
The purpose of this project is to extend Budiansky’s (1965) self-consistent method and inclusion-matrix-composite theory of Christensen and Lo (1979) to the development of a new method that would serve as an alternative to Tang’s (2017) averaging procedure in associating structural properties at the macroscopic level with microscopic crack distributions. This method involved the development of a numerical version of the self-consistent scheme. The numerical simulations consisted of the estimation of the effective moduli of various composite geometries, through an iterative process of strain energy equivalence, under 2D plane strain conditions. The iterative process involved the assumption of the total sum of elemental strain energy of the microscopic model, S.E.MICRO, to be approximately equal to the total sum of elemental strain energy, of the macroscopic model, S.E.MACRO. The finite element method was specifically used to develop the numerical simulation. The numerical simulations were carried out through Mechanical ANSYS Parametric Design Language (APDL), a Finite Element Analysis software. This investigation, which examined how changes in the dimensionless inclusion length-matrix width, a/b, affected effective elastic modulus, EEFF, values, was carried out through a parametric study. This investigation might not be directly applying the theory of the self-consistent scheme, but it is however treated in the ‘spirit’ of the method. |
author2 |
Fan Hui |
author_facet |
Fan Hui Kavin Raj Nedumaran |
format |
Final Year Project |
author |
Kavin Raj Nedumaran |
author_sort |
Kavin Raj Nedumaran |
title |
Estimation of effective moduli of composites through self-consistent scheme |
title_short |
Estimation of effective moduli of composites through self-consistent scheme |
title_full |
Estimation of effective moduli of composites through self-consistent scheme |
title_fullStr |
Estimation of effective moduli of composites through self-consistent scheme |
title_full_unstemmed |
Estimation of effective moduli of composites through self-consistent scheme |
title_sort |
estimation of effective moduli of composites through self-consistent scheme |
publishDate |
2017 |
url |
http://hdl.handle.net/10356/73059 |
_version_ |
1759857742840856576 |