Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex ....Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex best interpolation by the applicant and his collaborators, is expected to provide fundamental theory for Newton-type methods being used for these problems with a vast number of applications in data fitting and curve and surface design.Read moreRead less
Multi-scale Modelling and Simulation of Self-assembling Photonic Crystals. By using bandgaps and introduced defect states, photonic crystals provide the opportunities to shape and mould the flow of light. A success in fabricating 3D photonic crystals with complete bandgaps in a controllable and large-scale fashion will revolutionise the information & telecommunication industry. This ability will provide Australia with a significant niche opportunity at the leading edge of this frontier technolog ....Multi-scale Modelling and Simulation of Self-assembling Photonic Crystals. By using bandgaps and introduced defect states, photonic crystals provide the opportunities to shape and mould the flow of light. A success in fabricating 3D photonic crystals with complete bandgaps in a controllable and large-scale fashion will revolutionise the information & telecommunication industry. This ability will provide Australia with a significant niche opportunity at the leading edge of this frontier technology. It builds on Australia's established strength in material science, photonics, and information & communication technology. The mathematical models, simulation platform, and fabrication methods developed in this project will also be applicable to creating other highly-structured, functional materials.Read moreRead less
An Advanced Numerical Technique for Stability Analysis of Mining Excavations in Jointed/Faulted Rock Masses under High Stresses. The aim of this project is to develop a sophisticated mathematical model and computational technique for the stability analysis of mining excavations in jointed/faulted rock masses. The development involves a novel solution method based on current work in finite element method, boundary element method and large-scale optimisation with partial differential equation cons ....An Advanced Numerical Technique for Stability Analysis of Mining Excavations in Jointed/Faulted Rock Masses under High Stresses. The aim of this project is to develop a sophisticated mathematical model and computational technique for the stability analysis of mining excavations in jointed/faulted rock masses. The development involves a novel solution method based on current work in finite element method, boundary element method and large-scale optimisation with partial differential equation constraints. The work is extremely important to the mining industry in Australia, as the outcomes of the project will provide engineers with an innovative simulation technique to optimise mine design and to predict and control rock failure so as to reduce personnel injuries and death toll in mine sites.Read moreRead less
A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will prov ....A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will provide a sophisticated numerical technique for geotechnical engineers/scientists to determine geomechanical parameters accurately from in-situ observation and displacement measurements, leading to the optimal design of rock structures in subsequent analysis.Read moreRead less
Fluid dynamics and mechanical stress of tissue heart valves. Major problems with thrombo-embolic complications and leaflet failure and calcification still exist with bioprosthetic valves. Valves fabricated from polyether urethanes are efficient and can offer more resistance to calcification. No complete study on the haemodynamics and structure interactions is found in literature. Moreover, todate the effect of aortic wall motion on the blood flow has never been examined. A complete holistic ap ....Fluid dynamics and mechanical stress of tissue heart valves. Major problems with thrombo-embolic complications and leaflet failure and calcification still exist with bioprosthetic valves. Valves fabricated from polyether urethanes are efficient and can offer more resistance to calcification. No complete study on the haemodynamics and structure interactions is found in literature. Moreover, todate the effect of aortic wall motion on the blood flow has never been examined. A complete holistic approach to simulataneuosly simulating the fluid dynamics, the valve motion and the stress in a synthetic Polyether urethane valve is proposed. Cell adhesion study will also be carried out. The findings may yield to new insights into valve research.Read moreRead less
Advanced computational techniques for micro/nano multiscale systems of NEMS/BioMEMS. The outcome of this project will have the following benefits to Australia.
1) It will improve the research level in the area of multiscale simulation of NEMS/BioMEMS;
2) The project will be beneficial to possibly establish new industries in the areas of nanotechnology as well as to make good use of today's microelectronics, mircofabrication and computer technology that have already established in Australia;
....Advanced computational techniques for micro/nano multiscale systems of NEMS/BioMEMS. The outcome of this project will have the following benefits to Australia.
1) It will improve the research level in the area of multiscale simulation of NEMS/BioMEMS;
2) The project will be beneficial to possibly establish new industries in the areas of nanotechnology as well as to make good use of today's microelectronics, mircofabrication and computer technology that have already established in Australia;
3) The manpower trained by this project in the areas of multi-scale simulation of MEMS/NEMS/BioMEMS will provide a crucial support for the future industry of Australia.
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Polar Cap Region Boundary Dynamics. Geomagnetic storms have the potential to severely impair critical technology infrastructure. Consequences of strong geomagnetic activity can include power failures, pipeline corrosion, satellite failures, inaccurate GPS positioning and radio navigation. Knowledge of how, where and under which conditions this activity occurs is therefore crucial. The primary aim of this project is to extend our knowledge of the mechanisms by which this activity occurs. This wor ....Polar Cap Region Boundary Dynamics. Geomagnetic storms have the potential to severely impair critical technology infrastructure. Consequences of strong geomagnetic activity can include power failures, pipeline corrosion, satellite failures, inaccurate GPS positioning and radio navigation. Knowledge of how, where and under which conditions this activity occurs is therefore crucial. The primary aim of this project is to extend our knowledge of the mechanisms by which this activity occurs. This work will consolidate Australia's international space profile and provide excellent training in this field, helping Australia's future technology development.Read moreRead less
Unified approach for the stability analysis of large concrete dams due to ageing degradation. The expected outcome of this research is the availability of an innovative methodology for the safety assessment of aged concrete dams. Most of the concrete dams built in Australia and elsewhere have been in service for over 50 years. Degradation effects on aged concrete dams, and resistant ability of such aged concrete dams against hostile natural events, such as earthquakes, are of great concern for e ....Unified approach for the stability analysis of large concrete dams due to ageing degradation. The expected outcome of this research is the availability of an innovative methodology for the safety assessment of aged concrete dams. Most of the concrete dams built in Australia and elsewhere have been in service for over 50 years. Degradation effects on aged concrete dams, and resistant ability of such aged concrete dams against hostile natural events, such as earthquakes, are of great concern for engineers. The safety assessment of aged concrete dams can be done rationally by the proposed method which will provide a better knowledge of the ageing effects on concrete dams. The approach will provide a tool for rational decision-making as to the structural rehabilitation of large concrete dams affected by ageing degradation.Read moreRead less
Computer simulation techniques to reduce the incidence of femoral fracture after hip replacement surgery. Australia's ageing population is driving an increase of 5% to 10% a year in the number of primary total hip replacements. We will move beyond conventional surgical techniques, to deliver the science for an accurate, reliable computer-based system that is significantly more accurate and reliable. Optimising implant selection criteria to better match patients' activity levels and bone physiolo ....Computer simulation techniques to reduce the incidence of femoral fracture after hip replacement surgery. Australia's ageing population is driving an increase of 5% to 10% a year in the number of primary total hip replacements. We will move beyond conventional surgical techniques, to deliver the science for an accurate, reliable computer-based system that is significantly more accurate and reliable. Optimising implant selection criteria to better match patients' activity levels and bone physiology and minimise revision rates; this has major implications for the national health budget and patients' quality of life. Our advances will allow the implementation of improved surgical techniques that minimise the risk of implant related bone failure.Read moreRead less