Direct Partition of Mixed-Mode Fractures Using Digital Image Correlation

Lead Research Organisation: Loughborough University
Department Name: Aeronautical and Automotive Engineering

Abstract

Composite materials are very important to the aerospace industry because they maximise weight reduction in aircraft as well as providing several other advantages, for example, reduced fuel consumption. Although composite materials already provide great benefits to the aerospace industry, their full potential is not currently being realised due to their susceptibility to delamination. Delamination is a type of failure mode suffered by laminated materials in which constituent layers debond and separate from each other. It results in a significant loss of structural stiffness and is often accompanied by catastrophic structural failure.

To combat delamination, composite parts are often over-designed increasing the cost, weight and volume of a structure. This is in great part because the resistance to fracture, the 'fracture toughness', of a laminate, is not easily predicted while the consequences of delamination are severe. Fractures deform in different modes: in mode I opening, mode II shearing and mode III tearing. Since the fracture toughness of each pure fracture mode is typically different, the overall fracture toughness of a mixed-mode fracture depends on the relative proportions of each fracture mode, and this is called the 'fracture mode partition'. Determining the fracture mode partition is therefore a very important task. It has however turned out to be a complex and highly controversial problem.

Many researchers have worked on the problem over the years by deriving analytical theories and carrying out numerical simulations; however, reliably and accurately validating these results with experiments has proved problematic. The conventional mixed-mode fracture experiment applies loads to a cracked specimen until the crack grows and then uses the measured critical load to calculate the total fracture toughness. The fracture mode partition cannot be directly determined nor the in-depth mechanics of delamination understood. Instead comparisons can only be made between the measured fracture toughness and the material's failure locus to approximate the partition. This indirect measurement has made it very difficult to validate any of the partition theories proposed in the literature and has no doubt contributed to the confusion and controversy surrounding the topic.

Digital image correlation (DIC) is a technology that is becoming increasingly available. It is an optical method that can provide full-field non-contact accurate measurements of deformation. It has great potential to circumvent the shortcomings of the existing mixed-mode fracture experiments because it can accurately reveal the mechanics near to the crack tip. This research project will respond to this need for a test method to directly measure fracture mode partitions. It aims to develop a methodology to determine the fracture mode partition of a crack by examining its near-crack tip strain field using DIC. This will allow the various partition theories in the literature, including the principal investigator's (PI's) own ones, to be either validated or invalidated, new partition theories to be developed and tested, and the conditions of applicability of a particular partition theory to be determined. There are however several challenges to overcome, in particular related to the application of DIC to this problem and the scales of observation required.

The proposed research has great potential to result in new test standards for the direct measurement of fracture mode partitions, considerably enhancing the knowledge and skills of the structural mechanics research community, and also providing industrial engineers with a method to accurately characterise the mixed-mode failure behaviour of the laminated materials they use. The in-depth physics of the fracture mechanics of advanced composite materials will be revealed, which will contribute towards their full potential being harnessed without over-design against the danger of delamination.

Planned Impact

Composite materials are very important to the aerospace industry because they maximise weight reduction in aircraft as well as providing several other advantages, for example, reduced fuel consumption. Although composite materials already provide great benefits to the aerospace industry, their full potential is not currently being realised due to their susceptibility to delamination during fabrication, assembly, and service. To combat the problem of delamination, composite parts are often over-designed and this increases the cost, weight and volume of a structure. This is in great part because the fracture toughness of a laminate is not easily predicted while the consequences of delamination are severe. The fracture toughness of a laminate depends on the mode partition of a fracture, that is, the relative proportions of each fracture mode, and is not an intrinsic material property. Determining the fracture mode partition has turned out to be a complex and highly controversial problem but nevertheless, one that is very important to solve.

This research project will respond to this need. It aims to develop a methodology to determine the fracture mode partition of a crack by examining its near-crack tip strain field using digital image correlation (DIC). This will allow the various partition theories in the literature, including the principal investigator's (PI's) own ones, to be either validated or invalidated, new partition theories to be developed and tested, and the circumstances under which a particular partition theory is and isn't appropriate to be determined.

The practical output of the proposed research has great potential to result in new test standards for the direct measurement of fracture mode partitions. This would considerably enhance the knowledge and skills of the research community of structural mechanics. It would also provide industrial engineers with a method to accurately characterise the mixed-mode failure behaviour of the laminated materials they use. Further knowledge output created from the project will explicitly reveal the in-depth physics of fracture mechanics of advanced composite materials, which would contribute towards their full potential being harnessed without over-design against the danger of delamination. Making full use of the unique properties of composites will result in new products, improvements to existing products and the opportunity to respond to demand for composites in new sectors and/or applications.

A number of companies are currently investing heavily in composite research, for example Airbus and Rolls Royce. Composites research has been identified as a national priority area by both the Department for Business Innovation and Skills and the Technology Strategy Board (TSB). All of these interested parties recognise that new composite technologies will need to be developed to meet future needs. The results from the proposed research will clearly be of great interest to them.

To reach the academic and industrial audiences, the results will be: (1) Presented in a plenary lecture at the 18th International Conference of Composite Structures (ICCS18). (2) Published in at least one article in a prestigious journal. (3) Presented in a seminar at the Faculty of Engineering at the University of Porto (FEUP). (4) Circulated in reports to Technical Committee 4 of the European Structural Integrity Society (ESIS TC4). (5) Disseminated at international events and workshops, including the twice-yearly meeting of ESIS TC4 but also, for example, the events and meetings organised by the National Composites Network (NCN). (6) Potentially included in the 2 chapters of an AIAA book on the subject of mixed-mode partitioning, which the PI is currently preparing to contribute.

To further reach an industrial audience, the PI intends to communicate with companies that work with composite materials to organise visits, to deliver presentations, and to distribute reports.

Publications

10 25 50
 
Description 'Uneven bending moment' (UBM) apparatus has been developed from its original design (2006) to test fiber-reinforced polymer (FRP) double cantilever beam (DCB) specimens loaded with uneven bending moments. When used in conjunction with digital image correlation (DIC), it allows the 2D strain field in the vicinity of a crack tip to be measured and mixed-mode fractures to be characterised. By using this new apparatus and methodology to measure the near-crack tip 2D strain fields of cracks in DCBs under various load combinations, the existence of two sets of pure fracture modes has been validated, and very importantly, the orthogonality relationship between them has been validated. These are key predictions made in the PI's previous analytical work on mixed-mode partition theories. It is an important finding because it strongly suggests that the PI's published Euler beam partition theory is applicable for determining the fracture toughness of mixed-mode delaminations in FRPs. It is also consistent with findings from other experimental assessments undertaken by the PI and colleagues.
Exploitation Route (1) The knowledge derived from the project gives confidence in using the PI's mixed-mode partition theories, and in using the orthogonality relationship between pure modes to consider consider mixed-mode fracture problems properly. This should be considered as fundamental knowledge which can be put to use in any problem involving mixed-mode fracture, or toughness. For example, adhesion of graphene membranes, thin film blister behaviour, and thermal barrier coatings, in addition to the fiber-reinforced polymer composites which were the principal focus of this project. (2) The test apparatus and methodology created can help academic researchers to develop new mixed-mode fracture propagation criteria which will help design engineers to design high-integrity structures. (3) The apparatus, methodology and findings make it possible to validate/invalidate analytical mixed-mode partition theories and numerical interfacial fracture simulations. (4) The work can be developed to consider mixed-mode fractures in non-rigidly bonded DCBs and in laminated composite DCBs. (5) The methodology could also be developed to locate small fractures based on the 2D strain field.
Sectors Aerospace, Defence and Marine,Construction,Energy,Manufacturing, including Industrial Biotechology,Pharmaceuticals and Medical Biotechnology,Transport

 
Description The project generated fundamental knowledge and understanding concerning mixed-mode interfacial fractures. We reported these findings in the academic literature, but they are now also being noticed by industry: (1) Thermal barrier coating (TBC) systems are commonly used on gas turbine engines to protect components such as turbine blades from high and prolonged thermal loads. A major failure mode of TBCs is spallation, in which the coating detaches from the substrate. This is an interfacial mixed-mode fracture problem. The PI (and colleagues) are working with Rolls Royce in on-going projects to apply outcomes from this project to lifetime prediction and enhancing performance of TBCs. If this can be achieved, thermodynamic efficiency can be improved, leading to decreased rates of fuel consumption. Also, lifetime of turbine blades can be improved, leading to lower running costs and rates of replacement. (2) Knowledge and understanding generated by the project have recently been used to determine the adhesion toughness of graphene membranes, and to explain the seemingly-anomalous behaviour in which adhesion toughness depends on the on number of graphene layers. Interface adhesion toughness between multilayer graphene films and substrates is a major concern for their integration into functional devices. Graphene has exceptional electronic, mechanical and thermal properties, and consequently has potential technological applications including biosensors, nanomechanical and nanoelectronic devices. Some commonly-cited examples include flexible display screens, supercapacitors, electric circuits, solar cells, and devices for various medical, chemical and industrial processes. It is expected that the solution of this problem, achieved by using findings from this project, will be valuable to allow the integration of graphene into functional devices.
First Year Of Impact 2017
Sector Aerospace, Defence and Marine,Electronics
Impact Types Societal,Economic

 
Title UBM Test Postprocessing Software 
Description Graphical 'wizard' software has been produced to automate the processing of force, displacement and camera images from the UBM test so that fracture toughness 'R-curves' can be derived. 
Type Of Technology Software 
Year Produced 2018 
Impact This software facilitated the semi-automatic post-processing of UBM fracture test results (internally), which contributed to the generation of fundamental knowledge on interfacial fracture. The resulting theories are now being widely used in the fracture mechanics community, and there are many relevant applications where interfacial fracture/adhesion is a key phenomenon. The software itself, however, is not yet being used externally. 
 
Title UBM apparatus 
Description 'Uneven bending moment' (UBM) apparatus has been developed from its original design (2006) to test double cantilever beam (DCB) specimens loaded with uneven bending moments. When used in conjunction with digital image correlation (DIC), it allows the 2D strain field in the vicinity of a crack tip to be measured and mixed-mode fractures to be characterised. This has important consequences for determining the fracture toughness of delaminations in layered materials. 
Type Of Technology New/Improved Technique/Technology 
Year Produced 2015 
Impact Development of this apparatus and the testing technique has produced results that strongly support the analytical mixed-mode fracture theories that have been developed by the PI. These results have had consequential effects for the on-going development of these theories and have supported all the publications currently listed against this grant. The developed apparatus was frequently used by a PhD student in the research group who undertook a comprehensive programme of mixed-mode delamination testing. This student graduated with his PhD in December 2017. 
 
Description Conference (ICCS18, 18th International Conference on Composite Structures) 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Following my presentation, there were detailed discussions with some of my colleagues at other universities who were interested in the research.

Following my presentation, one of my colleagues at another university wanted me to send him some of my test data to allow him to make comparisons with his own data and test out his software (under development). I sent the relevant data to him by email and his PhD student is carrying out the analyses. Also, the same colleague asked if he could visit my lab.
Year(s) Of Engagement Activity 2015
 
Description Conference (ICCS19, 19th International Conference on Composite Structures) 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Following my presentation, there were detailed discussions with some of my colleagues at other universities who were interested in the research.
Year(s) Of Engagement Activity 2016
 
Description Jiao Tong University, Shanghai, China 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited talk at Jiao Tong University (Shanghai, China) about direct experimental measured of fracture mixity. Recognised as expert on topic from publications and asked to help them to solve specific fracture toughness vs fracture mixity problems. Purpose of visit to disseminate the project's findings and methodology. Prior to visit, conventional theoretical techniques were used to predict fracture toughness, but these have poor predictive performance, hence the invitation. Experimental work in project validated new fracture theory and uptake of new theory is project is now beginning to become more-widely accepted and used. This now extends to colleagues at Jiao Tong.
Year(s) Of Engagement Activity 2018