Cement manufacture accounts for about 5% of global carbon dioxide emissions, the single largest contribution of any man-made material. Despite this, research has shown that concrete is generally inefficiently used in the built environment. This fellowship will look to reduce the global environmental impact of concrete construction through a new method for the analysis of reinforced concrete structures that is well suited to producing the optimised designs that have the potential to significantly reduce material consumption. The new analysis method will be considered alongside practical construction processes, building on previous work by Dr Orr in this field, thus ensuring that the computationally optimised form can actually be built, and the research adopted, in industry. Most existing computational methods poorly predict the real behaviour of concrete structures, because their underlying mathematics assumes that the structure being analysed remains continuous as it deforms, yet a fundamental property of concrete is that it cracks (i.e. it does not remain continuous as it deforms). In contrast to finite element methods, this fellowship will develop a meshfree analysis process for concrete based on 'peridynamics'. The term 'peridynamic' (from 'near' and 'force') was coined by Dr Silling (see also statements of support) to describe meshfree analysis methods in solids. This new approach does not presume a continuous displacement field and instead models solid materials as a collection of particles held together by tiny forces, the value of which is a function of each particle's relative position. Displacement of a particle follows Newton's laws of motion, and is well suited to reinforced concrete since: 1) concrete really is a random arrangement of cement and aggregate particles; 2) failure is governed by tensile strain criteria, which is ideal as the only real way that concrete fails is in tension (all other failure modes in everyday design situations are a consequence of tensile failure) and the model can therefore accurately predict behaviour, and 3) since the elements fail progressively in tension, the peridynamic approach automatically models cracking behaviour, which is extremely difficult to model conventionally. A variety of force-displacement relationships can be defined to model the concrete, the reinforcement, and the reinforcement-concrete bond that together define the overall material response. The approach models the material as a massively redundant three-dimensional truss in which the randomly arranged particles are interconnected by elements of varying length. Although an optimal 'element density' has not yet been determined (see Section 2.4.1 in the case for support) proof of concept work has used tens of millions of particles and hundreds of millions of elements per cubic metre of concrete. From the simple rules and properties applied to these elements, all the complex behaviour of concrete can be predicted. Individual element definitions will be determined by laboratory tests and computational analysis, with both historic and new test data utilised. Crucially, the model has been shown in proof-of-concept work to be able to predict the cracking behaviour of concrete, overcoming a key computational challenge. Optimisation routines, in which material is placed only where it is needed, will then be integrated with the new analysis model to design low-carbon concrete structures. Consideration of the practical construction methods will also be given, building on previous work in this area by Dr Orr. The designs that result from such optimisation processes will have unconventional but completely buildable geometries (as evidenced in Dr Orr's previous work) - making them ideal for analysis using the proposed random elements approach.

If cement production were a country, it would be the 3rd largest CO2 emitter in the world. In just two hundred years it has become the second most consumed material on the planet after water. Cement is vital as a component in concrete, with which we build the cities and infrastructure that support economic development. Yet we now also know that we design extremely inefficient structures, using much more concrete than is needed to satisfy our building design codes. This travel grant will address demand reduction, as a key component of reducing the climate impact of concrete. Through better design practice, cultural change, and learning from leading international research and industry partners working in this field, the grant aims to develop a global network of funding proposals wherein we can collectively tackle our need to use less concrete.

At 3.36 am on 24th August 2016 a Mw 6.2 earthquake struck the central region of Italy, with epicentre in the Apennines range, near the village of Accumuli and with a fault rupture of 25 km. Earthquake shaking was felt as far as Rome (120 km SW), Florence (220 km NW) and Urbino (200 km N). The worst affected region has a radius of 20 km around the epicentre, including a number of towns and small villages across the regions of Umbria, Lazio and Abruzzo. The building stock of these urban centres mainly consists of historic rubble masonry structures, with a small measure of reinforced concrete construction. The performance of the former was very poor and collapse was widespread. The historic building stock of Amatrice suffered widespread destruction. Although the area is sparsely populated, the time of occurrence of the main shock and the fact that much of the tourist accommodation was nearly at full capacity led the death toll to be 295, injured 388 and left more than 2000 people homeless. This was the second most deadly earthquake in Italy since 1980. Since 1982, the Earthquake Engineering Investigation Team (EEFIT) has organised dozens of reconnaissance missions worldwide. Involving UK academics and industrial partners, in the past these missions have been funded by EPSRC through the urgent funding request mechanism. EEFIT is a group of earthquake engineers, architects and academics who collaborate with colleagues in earthquake prone countries to improve the seismic resistance of both traditional and engineered structures. EEFIT's principle activity is conducting field investigations following major earthquakes and reporting their findings to the engineering community. The main objectives of EEFIT missions are: - To carry out a detailed technical evaluation of the performance of structures, foundations, civil engineering works and industrial plant within the affected region - To collect geological and seismographic data, including strong motion records - To assess the effectiveness of earthquake protection methods, including repair and retrofit, and to make comparisons of the actual performance of structures with the expectations of designers - To study disaster management procedures and socio-economic effects of the earthquake, including human casualties. These objectives correspond and are further articulated in the objectives of this mission to the Amatrice earthquake region.Ten academics and 5 industrial partners will take part in the mission which will deploy for up to two weeks, conducting rapid and detailed damage surveys of buildings affected by the earthquake. The team will liaise with the local authority and the Italian geophisical institution to collect data on the seismological aspects of the shaking. Finally it will report to the UK and Italian communities its findings from the field trip.

Cement manufacture accounts for about 5% of global carbon dioxide emissions, the single largest contribution of any man-made material. Despite this, research has shown that concrete is generally inefficiently used in the built environment. This fellowship will look to reduce the global environmental impact of concrete construction through a new method for the analysis of reinforced concrete structures that is well suited to producing the optimised designs that have the potential to significantly reduce material consumption. The new analysis method will be considered alongside practical construction processes, building on previous work by Dr Orr in this field, thus ensuring that the computationally optimised form can actually be built, and the research adopted, in industry. Most existing computational methods poorly predict the real behaviour of concrete structures, because their underlying mathematics assumes that the structure being analysed remains continuous as it deforms, yet a fundamental property of concrete is that it cracks (i.e. it does not remain continuous as it deforms). In contrast to finite element methods, this fellowship will develop a meshfree analysis process for concrete based on 'peridynamics'. The term 'peridynamic' (from 'near' and 'force') was coined by Dr Silling (see also statements of support) to describe meshfree analysis methods in solids. This new approach does not presume a continuous displacement field and instead models solid materials as a collection of particles held together by tiny forces, the value of which is a function of each particle's relative position. Displacement of a particle follows Newton's laws of motion, and is well suited to reinforced concrete since: 1) concrete really is a random arrangement of cement and aggregate particles; 2) failure is governed by tensile strain criteria, which is ideal as the only real way that concrete fails is in tension (all other failure modes in everyday design situations are a consequence of tensile failure) and the model can therefore accurately predict behaviour, and 3) since the elements fail progressively in tension, the peridynamic approach automatically models cracking behaviour, which is extremely difficult to model conventionally. A variety of force-displacement relationships can be defined to model the concrete, the reinforcement, and the reinforcement-concrete bond that together define the overall material response. The approach models the material as a massively redundant three-dimensional truss in which the randomly arranged particles are interconnected by elements of varying length. Although an optimal 'element density' has not yet been determined (see Section 2.4.1 in the case for support) proof of concept work has used tens of millions of particles and hundreds of millions of elements per cubic metre of concrete. From the simple rules and properties applied to these elements, all the complex behaviour of concrete can be predicted. Individual element definitions will be determined by laboratory tests and computational analysis, with both historic and new test data utilised. Crucially, the model has been shown in proof-of-concept work to be able to predict the cracking behaviour of concrete, overcoming a key computational challenge. Optimisation routines, in which material is placed only where it is needed, will then be integrated with the new analysis model to design low-carbon concrete structures. Consideration of the practical construction methods will also be given, building on previous work in this area by Dr Orr. The designs that result from such optimisation processes will have unconventional but completely buildable geometries (as evidenced in Dr Orr's previous work) - making them ideal for analysis using the proposed random elements approach.

Recent years have seen an explosion in the number of large-scale structures such as tall buildings and long span roofs (e.g. all but one of the world's 20 tallest buildings was constructed in the last 15 years, almost all of which are over 400m in height; furthermore, it has recently been estimated that 4 million skyscrapers of 40 stories will be required by 2050 to accommodate worldwide urban population growth). However, currently the forms of such structures are usually identified in an ad-hoc manner, with very limited application of optimization techniques, despite the fact that such techniques are now routinely used in other industrial sectors (e.g. automotive and aerospace). This means that material consumption and associated greenhouse gas emissions will often be far higher than necessary, and novel structural configurations which permit inclusion of energy efficient features such as light wells or atriums will often be overlooked. In this project highly efficient mathematical optimization methods will be developed specifically for large-scale building structures, and used to automatically identify efficient layouts of structural elements. This will enable determination of the 'absolute minimum material reference design' for a given design brief, providing a powerful new means of evaluating the relative efficiency of alternative structural layouts. Methods will also be developed to automatically generate simpler and more practical structural layouts, which consume little more material than the absolute minimum quantity. The methods will be used to identify structurally efficient layouts for a range of applications, including tall building exoskeleton design and long-span canopy roof design. Considering tall buildings, a recent development has been the use of exoskeleton 'diagrids', which give a clear expression of the structural system, and are perceived to be more efficient than conventional solutions. However, the use of any predefined configuration will implicitly inhibit efficiency and vast numbers of alternative layouts will be able to be considered using the tools to be developed in this project. Considering long-span canopy roofs, such as those used in sports stadia, exhibition halls and factories, reducing material consumption by adopting a more efficient layout of elements leads to a 'virtuous circle' since as structural self-weight is reduced, so does the amount of structural material required to support this. The project will result in the development of practical tools and guidance for practitioners, and educational materials for students. Successful delivery of the research can be expected to dramatically improve the ability of engineers to design structurally efficient large-scale buildings.