Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.
Retrofitting unreinforced masonry walls with fibre reinforced polymer strips. An efficient technique for increasing the safety of existing masonry structures under earthquake (and other) loading will be developed. This is essential to the safe continued use of existing infrastructure (avoid replacement = economic benefit). This new technique addresses many shortcomings in existing alternatives (increased performance, reduced cost). This research is particularly important in Australia where unrei ....Retrofitting unreinforced masonry walls with fibre reinforced polymer strips. An efficient technique for increasing the safety of existing masonry structures under earthquake (and other) loading will be developed. This is essential to the safe continued use of existing infrastructure (avoid replacement = economic benefit). This new technique addresses many shortcomings in existing alternatives (increased performance, reduced cost). This research is particularly important in Australia where unreinforced masonry accounts for most domestic construction, much light commercial infrastructure, as well as many heritage and post-disaster buildings. It also reinforces Australia's high international standing in developing innovative retrofitting alternatives using advanced materials in this rapidly developing area. Read moreRead less
A New Generic Approach for Assessing Blast Effects on Reinforced Concrete Members. A framework allow for both flexural and shear response analysis using a new segmental approach is developed in this proposal. A blast test program is designed to validate the framework for reinforced concrete members. The validated framework is then used to derive normalised pressure impulse programs for reinforced members in unconfined and confined spaces. This project will provide design engineers guidelines for ....A New Generic Approach for Assessing Blast Effects on Reinforced Concrete Members. A framework allow for both flexural and shear response analysis using a new segmental approach is developed in this proposal. A blast test program is designed to validate the framework for reinforced concrete members. The validated framework is then used to derive normalised pressure impulse programs for reinforced members in unconfined and confined spaces. This project will provide design engineers guidelines for reliably and quickly assessing the effect of different kinds of blast loads on different types and properties and geometries of reinforced concrete structural members, saving computation time and efforts while providing increased realism and accuracy.Read moreRead less
Development of ultra-high performance concrete columns against blasts. This project aims to develop cost-effective formulae for ultra-high performance fibre reinforced concrete (UHPFRC) material with superior strength, ductility and durability to replace conventional concrete in critical infrastructures. In recent years, increasing threat from terrorism activities highlights the need to develop advanced building materials to protect against disastrous blasts; UHPFRC is an ideal option in structu ....Development of ultra-high performance concrete columns against blasts. This project aims to develop cost-effective formulae for ultra-high performance fibre reinforced concrete (UHPFRC) material with superior strength, ductility and durability to replace conventional concrete in critical infrastructures. In recent years, increasing threat from terrorism activities highlights the need to develop advanced building materials to protect against disastrous blasts; UHPFRC is an ideal option in structural protective design. This project plans to develop a mixed design approach for cost-effective UHPFRC material. It also plans to conduct blast tests and numerical investigations study blast resistance of UHPFRC columns and to develop analytical approaches and design methods for the application of such columns in critical infrastructure.Read moreRead less
Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals. This project aims to study advanced harmonic analysis concerning multiparameter theory and related topics. Harmonic analysis lies at the intersection of the frontiers of many branches of mathematics. It is fundamental to the study of operator theory and partial differential equations which has wide applications in many fields such as mathematical modelling, probability and number theory. This project aims to solve a num ....Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals. This project aims to study advanced harmonic analysis concerning multiparameter theory and related topics. Harmonic analysis lies at the intersection of the frontiers of many branches of mathematics. It is fundamental to the study of operator theory and partial differential equations which has wide applications in many fields such as mathematical modelling, probability and number theory. This project aims to solve a number of open problems at the frontier of research in modern harmonic analysis including estimates on multilinear operators with nonsmooth kernels and advanced multiparameter theory on product spaces.Read moreRead less
Harmonic analysis: function spaces and singular integral operators. This project advances knowledge in harmonic analysis to new settings such as dyadic and multiparameter theories, Laplacian-like operators, and rough singular integrals. Outcomes will be solutions to long-standing problems, training of researchers, strong links with international researchers and enhancement of Australia's reputation in mathematics.
Structural Fuses for Safer and More Economical Bridge Construction. This project aims to develop a novel structural system leading to more economical concrete bridge construction by utilising a customised structural fuse. A significant margin of safety is required in structural design to account for accidental over-loading and to reduce the risk of structural collapse. Such a margin leads to more material usage. Incorporation of a fuse into the structure that is triggered upon over-loading will ....Structural Fuses for Safer and More Economical Bridge Construction. This project aims to develop a novel structural system leading to more economical concrete bridge construction by utilising a customised structural fuse. A significant margin of safety is required in structural design to account for accidental over-loading and to reduce the risk of structural collapse. Such a margin leads to more material usage. Incorporation of a fuse into the structure that is triggered upon over-loading will cause a safer failure mode and prohibit further increase of loading, both of which result in a reduced structure without undermining safety. The project is expected to advance structural theory, and also provide significant benefits to the construction industry via cost reduction and more eco-friendly constructions.Read moreRead less
There and back again: operator algebras, algebras and dynamical systems. The aim of this project is to develop mathematics that enables us to transfer information back and forth between dynamical systems and algebras, including operator algebras. Dynamical systems - systems that change over time - are ubiquitous, and central to modern mathematics and its applications. In mathematics, dualities allow us to translate questions from one context to another in which they are easier to solve and then ....There and back again: operator algebras, algebras and dynamical systems. The aim of this project is to develop mathematics that enables us to transfer information back and forth between dynamical systems and algebras, including operator algebras. Dynamical systems - systems that change over time - are ubiquitous, and central to modern mathematics and its applications. In mathematics, dualities allow us to translate questions from one context to another in which they are easier to solve and then translate the answer back again. Expected outcomes include increased understanding of the relationship between operator algebras and the dynamical systems that they represent. Benefits include enhanced international collaboration, and increased Australian capacity in pure mathematics, particularly operator algebras.Read moreRead less
The paradox of choice: Unravelling complex superannuation decisions. Australia has been a world-leader in retirement savings policy, but there remains a pervasive lack of understanding about how best to communicate complex financial information to decision-makers, along with a push by government for clearer disclosure and greater financial literacy. This project will inform regulators and the superannuation industry on how choices are made and how to present clearer, better-designed information ....The paradox of choice: Unravelling complex superannuation decisions. Australia has been a world-leader in retirement savings policy, but there remains a pervasive lack of understanding about how best to communicate complex financial information to decision-makers, along with a push by government for clearer disclosure and greater financial literacy. This project will inform regulators and the superannuation industry on how choices are made and how to present clearer, better-designed information to be understood by ordinary participants, thus encouraging active, well-informed participation rather than passive 'default' decisions. More efficient investment and benefit choices will improve the economic welfare of retirees, reduce the burden on the working-age population and improve fiscal sustainability.Read moreRead less
Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models. New models for assessing and managing risk of financial products will place Australia at the forefront of risk management. The work will also sustain the competitive edge of Australia as one of the major financial centres in the Asia-Pacific region through enhancing both the theory and practice of financial risk management. The project outcome will also benefit to the country in other areas of risk, for ....Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models. New models for assessing and managing risk of financial products will place Australia at the forefront of risk management. The work will also sustain the competitive edge of Australia as one of the major financial centres in the Asia-Pacific region through enhancing both the theory and practice of financial risk management. The project outcome will also benefit to the country in other areas of risk, for example, environment risk, climate change, and energy and security problems.Read moreRead less