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Research Theses

Higher Degrees Awarded:

1998-1999

Doctor of Engineering

Y.-W. Mai

"Contributions to Fracture Mechanics Characterisation of Advanced Engineering Materials" awarded by the University of Sydney

Doctor of Science

Y.-W. Mai

Selected Papers on Fracture Mechanics Characterisation of Fibre Composites" aearded by the University of Hong Kong

Doctor of Philosophy

S Deng

Fibre-Matrix Adhesion and Fibre Cross-Sectional Aspect Ratio on Mechanical Properties of FPMCs

H Y Liu

Theoretical and Numerical Studies on Fibre Fragmentation in Advanced Composites (abstract)

J Sun

Polishing of Contact Lenses and Improvements in Polishing Tool Design

SC Wong

Structure-Property Relationship of Some Novel Multi-Component Polymer Materials

Cheng Yan

Effects of Constraint on Elastic-Plastic Fracture and Ductile-Brittle Fracture Transition (abstract)

S Zhang

A Study of Reinforcing Concrete Columns Using Fibre Reinforced Composite Wraps

 

1997

Doctor of Philosophy

Akbar Afaghi-Khatibi

A Study on Residual Strength of Notched Composite Laminates (abstract)

Andrew Beehag

Structure-Property Relationship of Commingled CF/PEEK Composites (abstract)

Helen Cartledge

Tribological Investigations of Thermoplastic Composites

Xiaoxue Diao

A Statistical Study on Fatigue Performance of Fibre Reinforced Polymer Matrix Composite Laminates

 

 

Abstracts:

 

A Study on Residual Strength of Notched Composite Laminates
Abstract:

The main objective of this thesis is to study the residual strength of notched polymer matrix composite laminates (PMCLs) and fibre reinforced metal laminates (FRMLs). A new effective crack growth model based on failure mechanisms and fracture behaviour of notched composite laminates is developed to simulate the residual strength of these materials. The effects of various parameters such as notch size, constituent properties, specimen geometry, stacking sequence and fibre orientation on the residual strength of these composite laminates with a circular hole or a sharp notch are also investigated.

Firstly, damage and failure mechanisms of notched composite laminates including failure modes, notch tip damage zone and notch sensitivity of unidirectional and multidirectional composite laminates are reviewed as well as stress distributions around various cut-outs. The effect of notch size on residual strength of these composite laminates is then addressed. Previous models used to evaluate the residual strength of notched composite laminates are discussed individually and the limitations of these models and the requirements for a new model are subsequently examined.

A new effective crack growth model (ECGM) is developed in this thesis. Damage is assumed to initiate when the local normal stress reaches the tensile strength of the unnotched laminate, and it propagates with an increase of the applied load. The damage is modelled by a fictitious crack with cohesive stress acting on the crack surfaces, and the damage growth is simulated by extension of the fictitious crack and reduction of the cohesive stress with crack opening. The apparent fracture energy is used to define the relationship between the unnotched strength and the critical crack opening. Based on the equilibrium condition, an iterative technique is developed to evaluate the applied load required to produce the damage growth. The residual strength of notched composite laminates is defined by the unstable point of the applied load with damage growth.

The ECGM is unique because it involves some capabilities of the progressive type models without finite element analysis. Based on the unnotched tensile strength (so) and apparent fracture energy, this model simulates the residual strength of notched polymer matrix composite laminates with good accuracy and simplicity compared with the previous models, e.g. Point Stress and Damage Zone Criteria. The effects of notch size, specimen width, stacking sequence, and constituent properties on the residual strength are evaluated by the ECGM. The simulations using this new model produce good correlations with experimental data for various laminate configurations. The ECGM simulates damage growth in terms of effective crack extension step by step. In such an approach, estimations of the damage zone size ahead of the notch tip and real crack initiation/propagation are obtained.

The ECGM is also extended to simulate the residual strength of fibre reinforced metal laminates (FRMLs) with a circular hole or a sharp notch. The residual strength simulated from the ECGM correlated well with experimental data in the open literature for various ARALL, GLARE and CARE notched laminates. Furthermore, the stress redistribution with damage growth in notched composite laminates is also discussed.

Finally, using two carbon/epoxy [0/90]4S composite laminate systems, experimental investigations were conducted to study the effect of fibre/matrix interfacial adhesion on notched residual strength. The effect of hole size and notch sensitivity of the laminates were also investigated. Fracture surfaces were examined by Scanning Electron Microscopy (SEM) to characterise failure mechanisms of these laminates.

 

 

Structure-Property Relationship of Commingled CF/PEEK Composites
Abstract:
A comprehensive study was undertaken of the influence of processing conditions (processing temperature, processing time, cooling rate and cooling pressure) on the interlaminar fracture, transverse elastic modulus and strength of commingled CF/PEEK. Consolidation and deconsolidation studies were performed, using transverse tensile specimens. Void reduction in the CF/PEEK composites was characterised with a model of the consolidation process. Consolidation levels were determined with void content and transverse ultimate strength performance. Consolidation quality was found to be a major influence on the final composite properties. The development of the fibre/matrix interface, the arrangement of fibre bundles in the composite, and fibre and matrix redistribution were all found to contribute to consolidation quality. The cooling rate was found to have less influence on the commingled CF/PEEK than the influence of consolidation quality. Also, commingled CF/PEEK composites with low consolidation levels had different mechanical behaviour to composites with high initial consolidation and subsequent high deconsolidation levels. The interfacial matrix morphology of carbon fibres embedded in PEEK or polyphenylene sulphide was invesitgated, by determining the influence of transcrystalline
matrix formations on interfacial shear strength. No significant improvement was found for the IFSS of CF/PEEK, while the CF/PPS interface may weaken slightly with transcrystalline matrix formations.

 

 

Effects of Constraint on Elastic-Plastic Fracture and Ductile-Brittle Fracture Transition
Abstract:
In line with the rapid development of multi-parameter characterisation of crack-tip fields, more attentions have been focused to predict the effects of constraint changes on fracture toughness so that the concept of conventional fracture mechanics can be extended to describe the performance
of structure at various constraint levels. The main objective of this study is to enhance the understanding on constraint effects on cleavage fracture, ductile tearing and ductile-brittle fracture transition. Ductile crack growth and ductile-brittle transition have been investigated experimentally in different specimen geometry. The stress-strain fields ahead of both stationary and growing crack tips have been obtained via large deformation finite element analysis. Statistical analysis has also been done to predict data scatter and lower-bound toughness. Ductile-brittle transition is caused by crack growth increasing both the opening stress and the material area covered by high opening stress. Specimen geometry has a remarkable effect on ductile-brittle transition due to the different constraint levels. The lower-bound toughness is not sensitive to constraint level. The possibility of ductile-brittle transition can be estimated by comparing the achievable opening stress in the ligament with the lower-bound value of cleavage fracture stress. Numerical analysis shows that variation of crack tip opening displacement with load is not sensitive to precrack depth and the effect of constraint on initiation toughness is material dependent In contrast to plane strain, a constraint-independent crack growth resistance curve can be obtained under plane stress condition. Further understanding of the effects of constraint on ductile-brittle transition under dynamic condition is necessary.

 

 

Theoretical and Numerical studies on Fibre Fragmentation in Advanced Composites
Abstract:
Fracture mechanics analyses of single fibre tests, specifically, fibre fragmentation tests, have been conducted to study the stress transfer and characterise the fibre/matrix interface failure behaviour in fibre composites. In a fibre fragmentation test, the load is transferred from the matrix to the fibre by the fibre/matrix interface. The interface debonding region between the fibre and the matrix is regarded as an interfacial crack (mode II) and its propagation is dependent on the energy balance criterion in terms of an interfacial fracture toughness being satisfied. This study presents a detailed analysis for the stress transfer and interface behaviour of fibre fragmentation tests. The theoretical models developed in this work provide a theoretical basis for the experimental evaluations of interfacial properties with several influential factors considered.

Pre-existing flaws on the fibre have an important effect on fibre fracture. This is one of the reasons why the distribution of fibre fragment length is not uniform at the final stage. A computer simulation study has been carried out to investigate the fibre fragmentation process in a single fibre composite. The breakage of the fibre is assumed to be controlled by the critical stress intensity factor of pre-existing flaws on the fibre surface, the size of which follows either a random distribution or a Pareto distribution. A Griffith energy balance theory is used to establish the interfacial debonding criterion. The computer simulation results of mean fibre fragment length and mean fibre debonding length versus applied stress are presented for a carbon fibre/epoxy matrix composite with two different fibre surface treatments. The effects of flaw density and flaw size on the fibre fragmentation process are discussed with respect to flaw distribution. These results contribute to a better understanding of fibre fragmentation mechanisms in fibre composites.

It has been found that thermal residual stresses, which are produced during the curing process of the fibre composites, have a significant effect on the fibre fragmentation and interface debonding in fibre fragmentation tests. A theoretical model is given for the fibre fragmentation behaviour including thermal residual stresses in both radial and axial directions. The stress distributions and interface debonding behaviour affected by thermal residual stresses are studied. Computer simulation of the fibre fragmentation test for a carbon fibre/epoxy matrix system shows that both the radial and axial thermal residual stresses play important roles in the fragmentation process. A model of a single fibre/matrix fragment with a fixed outer boundary condition has also been developed to simulate the fragmentation behaviour of a fibre surrounded by neighbouring fibres in a multi-fibre composite. The results show that the effects of thermal residual stresses cannot be neglected.

In a fibre fragmentation test, a transverse matrix crack, which is initiated by fibre breakage, has an important influence on the fibre fragmentation process. A theoretical analysis has been performed for including matrix cracks at the sites of fibre breaks. The strain energy release rates for both matrix cracking and interface debonding are calculated for a single fibre composite. By comparing these strain energy release rates with the corresponding specific fracture resistances, the competition between matrix crack growth and interface debonding has been studied. The distributions of fibre axial stress and interfacial shear stress obtained from the analysis show that the matrix crack reduces the efficiency of stress transfer and delays interface debonding. Therefore, the length of a matrix crack is one of the most important factors that control the failure mode of a fibre composite.

An improved theoretical analysis has been carried out to study the stress transfer and interface debonding in a fibre composite with unequal debonding lengths at the two fragment ends. It is shown that the difference in the two debonding lengths causes a non-symmetrical stress distribution along the fibre fragment which will affect the subsequent behaviours of fibre break and interface debond upon increasing applied stress.

Numerical results of the stress field in a fibre fragment, with or without matrix cracks, have been obtained by finite element analysis (FEA). The stress distributions in the fibre, matrix and interface are calculated for a single fibre/matrix fragment with a free or fixed outer boundary condition. The fibre/matrix interface is considered as fully bonded or partially debonded. In the debonding region, the stress transfer is governed by the Coulomb friction between the fibre and matrix. The effects of a matrix crack, which appears around a fibre break, have also been studied. Comparisons of FEA results with those obtained previously by analytical mechanics show generally good agreement between the two methods.

Numerical analysis of unidirectional multi-fibre composites has also been conducted by FEA. The results are given for two-fibre, three-fibre and five-fibres/matrix composites. The interactions between two neighbour fibres affected by the fibre volume fraction and fibre position are also studied. Comparisons of the results of multi-fibre and single fibre composites provide an impetus for further investigations of the fibre fragmentation and interface behaviours in bulk composites.

 

 

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