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...

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Main Author: Kavin Raj Nedumaran
Other Authors: Fan Hui
Format: Final Year Project
Language:English
Published: 2017
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Online Access:http://hdl.handle.net/10356/73059
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Institution: Nanyang Technological University
Language: English
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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
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