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Representations of dynamical systems, amenability, and proper actions. Mathematicians study abstract objects by representing them in terms of well-understood concrete models, and need to know when a representation is faithful, in the sense that the model contains complete information. Dynamical systems are an abstraction of physical systems suitable for studying time evolution and symmetries. The project aims to determine when important representations of dynamical systems are faithful, or, in ....Representations of dynamical systems, amenability, and proper actions. Mathematicians study abstract objects by representing them in terms of well-understood concrete models, and need to know when a representation is faithful, in the sense that the model contains complete information. Dynamical systems are an abstraction of physical systems suitable for studying time evolution and symmetries. The project aims to determine when important representations of dynamical systems are faithful, or, in mathematical language, when the dynamical system is amenable. The proposed strategy involves extending Rieffel's notion of proper actions; the construction should be of wide applicability apart from the intended applications to amenability.Read moreRead less
The structure of quantum groups. We propose to study the structure of mathematical objects used in describing symmetries of micro-scale phenomena. The project will significantly develop already well established Australian-Korean cooperation in this exciting and rapidly growing area of research. The results will be immediately applicable to related fields of mathematics, most notably to noncommutative geometry. In the long run, the outcomes will help in better understanding of fundamental problem ....The structure of quantum groups. We propose to study the structure of mathematical objects used in describing symmetries of micro-scale phenomena. The project will significantly develop already well established Australian-Korean cooperation in this exciting and rapidly growing area of research. The results will be immediately applicable to related fields of mathematics, most notably to noncommutative geometry. In the long run, the outcomes will help in better understanding of fundamental problems of modern quantum physics.Read moreRead less
Damage micromechanisms in alumina hybrid bilayers with graded interfaces. This project proposes a new design concept for high performance alumina hybrids with graded interfaces. The key to this process is the incorporation of thin graded interfaces between an outer homogeneous alumina layer for strength, hardness and wear resistance, and an inner heterogeneous alumina hybrid layer for damage tolerance. The project will explore unresolved issues concerning the effect of graded interfaces on the f ....Damage micromechanisms in alumina hybrid bilayers with graded interfaces. This project proposes a new design concept for high performance alumina hybrids with graded interfaces. The key to this process is the incorporation of thin graded interfaces between an outer homogeneous alumina layer for strength, hardness and wear resistance, and an inner heterogeneous alumina hybrid layer for damage tolerance. The project will explore unresolved issues concerning the effect of graded interfaces on the failure micromechanisms. Advances in this area will provide new strategy or insights for designing novel next generation layered materials.Read moreRead less
IMPROVED PROPERTIES BY CONTROL OF NANOMETRE AND MOLECULAR STRUCTURE OF CROSSLINKED POLYMERS. This French - Australian collaboration seeks to develop new composite, nanostructured thermosetting materials by control of molecular architecture and phase morphology, and by the incorporation of a range of nanoparticles into crosslinking systems. Such composites are increasingly required in high value industries such as electronics, aerospace and automotive. The project seeks to extend and develop the ....IMPROVED PROPERTIES BY CONTROL OF NANOMETRE AND MOLECULAR STRUCTURE OF CROSSLINKED POLYMERS. This French - Australian collaboration seeks to develop new composite, nanostructured thermosetting materials by control of molecular architecture and phase morphology, and by the incorporation of a range of nanoparticles into crosslinking systems. Such composites are increasingly required in high value industries such as electronics, aerospace and automotive. The project seeks to extend and develop the current successful and productive interaction between the researchers. As well as producing nanomaterials, the participants have extensive, complementary expertise in characterization at the molecular and nanoscale - crucial if the behaviour of these new materials is to be understood, controlled and further new materials rationally designed.Read moreRead less
Green Machining of Powder Metallurgy Based Aluminium Composites. This project will initiate and establish a collaborative research program between Professor Wojciech Z. Misiolek of Lehigh University (Bethlehem, PA, USA) and Professor Graham Schaffer at The University of Queensland. Professor Misiolek will spend an extended six month period at The University of Queensland. The specific aim of the project is to develop a method to machine aluminium composites in the green, or unsintered, state. Th ....Green Machining of Powder Metallurgy Based Aluminium Composites. This project will initiate and establish a collaborative research program between Professor Wojciech Z. Misiolek of Lehigh University (Bethlehem, PA, USA) and Professor Graham Schaffer at The University of Queensland. Professor Misiolek will spend an extended six month period at The University of Queensland. The specific aim of the project is to develop a method to machine aluminium composites in the green, or unsintered, state. This will overcome a major impediment to the wider utilisation of aluminium matrix composites, which have an attractive combination of properties but cannot be formed into complex shapes using conventional processing methodologies.Read moreRead less
Development of Creep Resistant TiAl Alloys for High Temperature Structural Applications. TiAl based alloys are being developed as high temperature structural materials for aerospace and automotive applications and thus their creep resistance (long-term strength at elevated temperatures) is critical. This project aims at developing creep resistant TiAl alloys through a combination of addition of rare earth and severe plastic deformation. It is expected that a refined and stablised microstructure ....Development of Creep Resistant TiAl Alloys for High Temperature Structural Applications. TiAl based alloys are being developed as high temperature structural materials for aerospace and automotive applications and thus their creep resistance (long-term strength at elevated temperatures) is critical. This project aims at developing creep resistant TiAl alloys through a combination of addition of rare earth and severe plastic deformation. It is expected that a refined and stablised microstructure consisting of submicron lamellar grains and nanosized lamellae be obtained. This will result in a highly creep resistant prototype TiAl material and leads eventually to the development of commercial TiAl alloys.Read moreRead less
Nanostructured Hydrogel-Carbon Nanotube Composites for Artificial Muscles. This collaboration links the expertise of the two groups in advanced functional materials for the development of improved mechanical actuators for artificial muscles. The Korean group provides key know-how in synthetic and natural hydrogels. The Wollongong team has developed expertise in carbon nanotube actuators. The hydrogel-nanotube hybrids resulting from this collaboration are likely to show improved performance co ....Nanostructured Hydrogel-Carbon Nanotube Composites for Artificial Muscles. This collaboration links the expertise of the two groups in advanced functional materials for the development of improved mechanical actuators for artificial muscles. The Korean group provides key know-how in synthetic and natural hydrogels. The Wollongong team has developed expertise in carbon nanotube actuators. The hydrogel-nanotube hybrids resulting from this collaboration are likely to show improved performance compared with existing materials. The improved actuators will be utilised in on-going projects in both countries.Read moreRead less
Effects of Phase Purity, Porosity and Oxygen Partial Pressure on the Thermal Stability of Nanolayered Ternary Carbides. The successful completion of this collaborative research will lead to (a) enhanced understanding of the roles of phase purity, porosity and atmosphere on the thermal stability of ternary carbides which is crucial for the design of high-performance ternary carbide heating elements; (b) fostering and strengthening of the continuing research collaboration between Curtin University ....Effects of Phase Purity, Porosity and Oxygen Partial Pressure on the Thermal Stability of Nanolayered Ternary Carbides. The successful completion of this collaborative research will lead to (a) enhanced understanding of the roles of phase purity, porosity and atmosphere on the thermal stability of ternary carbides which is crucial for the design of high-performance ternary carbide heating elements; (b) fostering and strengthening of the continuing research collaboration between Curtin University and the Institute of Metals Research; (c) development of high performance prototype ternary carbide heating elements for use in high temperature furnaces and ovens; and (d) potential joint ventures with local suppliers of furnaces in Australia and China, together with Kanthal of Sweden to assist in the manufacture of ternary carbide heating elements. Read moreRead less
Ductile Bulk Metallic Glass Composites. Structural materials are the basic building blocks of modern society, even a small advancement can have a strong impact on our society. The properties of steel have been pushed close to the limit. The development of bulk metallic glasses (BMGs) offers the opportunity to revolutionize the field of structural materials with strengths 3 or 4 time that of steel. The proposed project, aims to overcome the major technical barrier for BMGs of insufficient ductili ....Ductile Bulk Metallic Glass Composites. Structural materials are the basic building blocks of modern society, even a small advancement can have a strong impact on our society. The properties of steel have been pushed close to the limit. The development of bulk metallic glasses (BMGs) offers the opportunity to revolutionize the field of structural materials with strengths 3 or 4 time that of steel. The proposed project, aims to overcome the major technical barrier for BMGs of insufficient ductility. The development of ductile and high strength BMGs, will position Australia and its researchers at the forefront of this exciting material innovation. The project will develop and strengthen Australia's international research linkages with overseas centres of excellence.Read moreRead less
Ergodic theory and number theory. Recent advances in the theory of measured dynamical systems investigated by the proponents include new versions of entropy, and the study of spectral theory for non-singular systems. These will be further developed in this joint project with the French CNRS. The results are expected to have interesting applications in physics and number theory.