The overall aim of this research proposal is improvement to the safety, design criteria and assessment of multi-strand anchorages. In order to achieve this, the work will focus on the most critical aspects, the anchorage head and fixed anchorage length. The research will combine extensive full-scale laboratory work with numerical modelling. The overall testing will comprise initial field and laboratory testing. The initial field testing will be carried out on a number of already installed multi strand anchorages with different anchorage head assemblies. This will be followed by the construction and testing of two full scale strand anchorages - one will be a two-strand rock anchorage and the other will be a typical four-strand rock anchorages. In addition anchorage head test rigs will be constructed in order to obtain the stiffness characteristics of the anchorage heads. A numerical model of multi strand anchorages will be developed in order to investigate their dynamic response to changes in the anchorage head and/or fixed anchorage length. This will be validated and then used to provide the optimal stiffness characteristics for an anchorage head suitable for load estimation using dynamic testing.Finally, the results from both the laboratory and numerical studies will lead to the development of a new anchorage head design with a view to improving the assessment of the load condition of these anchorages. This will be tested on a full scale field anchorages of a similar design.

Computer models have played a central role in assessing the behaviour of nuclear power facilities for decades, they have ensured nuclear operations remain safe to both the public and the environment. The aim of the project is to develop a new and highly advanced modelling capability that is accurate, robust and validated. A new multi-physics, predictive modelling framework will be formed for simulating neutron transport, fluid flows and structural interaction problems. It aims to combine novel and world leading technologies in numerical methods and high performance computing to form a simulation tool for geometrically complex, nuclear engineering problems. This will surpass current computational capabilities, by providing modelling accuracy through the use of efficient adaptive resolution, and will tackle grand challenge problems such as full core reactor modelling. This model will be developed within a predictive framework that combines modelling with uncertainty and experimental data. This is a vital component as inherent uncertainties in data, geometry, parameterisations and measurement will place uncertainties in the modelled predictions. By integrating these uncertainties within the calculations we can quantify the uncertainty they place on the final result. The combination of all these technologies will result in the first modelling framework of its kind, offering unprecedented detail through optimised resolution with combined uncertainty quantification and data assimilation. It will provide substantially improved analysis of nuclear facilities, improve operational efficiency and, ultimately, help ensure its safety. The project will work closely with world leading academics and industry, both within the UK and overseas. This collaboration will result in the technologies being used to analyse future reactor designs, including those reactors due to be built in the UK over the coming years.

Computer models have played a central role in assessing the behaviour of nuclear power facilities for decades, they have ensured nuclear operations remain safe to both the public and the environment. The aim of the project is to develop a new and highly advanced modelling capability that is accurate, robust and validated. A new multi-physics, predictive modelling framework will be formed for simulating neutron transport, fluid flows and structural interaction problems. It aims to combine novel and world leading technologies in numerical methods and high performance computing to form a simulation tool for geometrically complex, nuclear engineering problems. This will surpass current computational capabilities, by providing modelling accuracy through the use of efficient adaptive resolution, and will tackle grand challenge problems such as full core reactor modelling. This model will be developed within a predictive framework that combines modelling with uncertainty and experimental data. This is a vital component as inherent uncertainties in data, geometry, parameterisations and measurement will place uncertainties in the modelled predictions. By integrating these uncertainties within the calculations we can quantify the uncertainty they place on the final result. The combination of all these technologies will result in the first modelling framework of its kind, offering unprecedented detail through optimised resolution with combined uncertainty quantification and data assimilation. It will provide substantially improved analysis of nuclear facilities, improve operational efficiency and, ultimately, help ensure its safety. The project will work closely with world leading academics and industry, both within the UK and overseas. This collaboration will result in the technologies being used to analyse future reactor designs, including those reactors due to be built in the UK over the coming years.

Together with industrial partners, we have established that there is a strong unmet demand for individuals with expertise in the combination of statistics, applied mathematics, computation, and the collaborative problem solving skills required to acquire application area knowledge. Consider, for example, aircraft structural design, where statistical methods have recently been approved in the certification of aircraft, complementing traditional experimental testing. This ushers in a change in possible design methodology, but creates a corresponding gap for the necessary talent in the workforce: scientists with knowledge of materials, computational methods and statistics. Such individuals are needed to sustain the UK's global competitive advantage, industrially and academically. We propose a world leading and innovative cohort-driven centre for doctoral training at the interface of Statistics and Applied Mathematics: Statistical Applied Mathematics at Bath (SAMBa). Modern mathematical models describing real world applications must incorporate randomness and data in a variety of ways in order to improve their ability to predict complex behaviour and describe empirical observations. Traditionally, deterministic applied mathematics and statistical methods have taken different approaches in modelling observed phenomena. More recently, we have seen that this is proving to be a hindrance to the competitiveness of British mathematics, especially when taking account of the enormous scope for research with genuine real-world impact. SAMBa will create a new generation of interdisciplinary mathematicians, both for academic careers as well as for insertion into British industry. Their primary strengths will be their problem solving ability and their fearlessness of barriers separating mathematical modelling and modern statistics. Moreover, the implementation of this CDT will promote a novel way of educating UK PhD students within the mathematical sciences, in which there is horizontal cross-disciplinary and industrial integration through CDT activities. The central mechanism by which this horizontal integration will occur will be through week-long Integrative Think Tanks (ITT), which share similarities with sandpits. These ITTs will be supported by an array of new courses that span a spectrum including statistics, stochastic simulation and applied mathematics. SAMBa will enrol ten students per year on a four-year study programme. The first year will focus on the new courses and in the formation of research themes, as well as developing cohort integration. ITTs will occur at the end of the first and second semesters during the first year of study, and will give students the opportunity to learn how to formulate problems and structure their approach to problem solving. ITTs will be intensive activities, managed by academic staff together with interdisciplinary and industrial leaders. Students in later years will participate in one ITT per year with a view to enhancing the PhD cohort experience. The expected outcomes of the ITTs will be: to provide real experiences in approaches to problem solving, to promote cross-fertilisation of ideas and expertise through horizontal integration, to build a cohesive PhD student cohort, to catalyse new collaborations, and to provide a source of PhD thesis projects. It is expected that most, but not all, PhD thesis problems and supervisory teams will emerge from ITTs. PhD students will also run a symposium series to prepare for, and subsequently reinforce, the ITT experience as well as to develop the students' sense of research empowerment. Students in SAMBa will be awarded an M.Res. after one year, subject to successful assessment. In addition, we will strongly encourage three month industrial or cross-disciplinary academic placements. These placements will enhance the horizontal integration and are a natural extension of our long-standing and thriving BSc an MSc placement scheme.

A thriving nuclear industry is crucial to the UKs energy security and to clean up the legacy of over 50 years of nuclear power. The research performed in the ICO (Imperial Cambridge Open universities, pronounced ECO!) CDT will enable current reactors to be used longer, enable new reactors to be built and operated more safely, support the clean up and decommissioning of the UKs contaminated nuclear sites and place the UK at the forefront of international programmes for future reactors for civil and marine power. It will also provide a highly skilled and trained cohort of nuclear PhDs with a global vision and international outlook entirely appropriate for the UK nuclear industry, academia, regulators and government. Key areas where ICO CDT will significantly improve our current understanding include in civil, structural, mechanical and chemical engineering as well as earth science and materials science. Specifically, in metallurgy we will perform world-leading research into steels in reactor and storage applications, Zr alloy cladding, welding, creep/fatigue and surface treatments for enhanced integrity. Other materials topics to be covered include developing improved and more durable ceramic, glass, glass composite and cement wasteforms; reactor life extension and structural integrity; and corrosion of metallic waste containers during storage and disposal. In engineering we will provide step change understanding of modelling of a number of areas including in: Reactor Physics (radionuclide transport, neutron transport in reactor systems, simulating radiation-fluid-solid interactions in reactors and finite element methods for transient kinetics of severe accident scenarios); Reactor Thermal Hydraulics (assessment of critical heat flux for reactors, buoyancy-driven natural circulation coolant flows for nuclear safety, simulated dynamics and heat transfer characteristics of severe accidents in nuclear reactors); and Materials and Structural Integrity (residual stress prediction, fuel performance, combined crystal plasticity and discrete dislocation modelling of failure in Zr cladding alloys, sensor materials and wasteforms). In earth science and engineering we will extend modelling of severe accidents to enable events arising from accidents such as those at Chernobyl and Fukushima to be predicted; and examine near field (waste and in repository materials) and far field (geology of rocks surrounding the repository) issues including radionuclide sorption and transport of relevance to the UKs geological repository (especially in geomechanics and rock fracture). In addition, we will make key advances in development of next generation fission reactors such as examining flow behaviour of molten salts, new fuel materials, ultra high temperature non-oxide and MAX phase ceramics for fuels and cladding, thoria fuels and materials issues including disposal of wastes from Small Modular Reactors. We will examine areas of symbiosis in research for next generation fission and fusion reactors. A key aspect of the ICO CDT will be the global outlook given to the students and the training in dealing with the media, a key issue in a sensitive topic such as nuclear where a sensible and science-based debate is crucial.