Risk and Uncertainty in Engineering MPhil/PhD

Major code: EGPR/EGMR


We create sustainable, smart, reliable and robust engineering solutions from multi-disciplinary expertise and with cutting-edge technologies.

Subject Overview

We pursue cross-disciplinary developments to master the challenges of our changing natural and societal environment with sustainable, smart and robust engineering solutions. Particular emphasis is put on critical phenomena such as natural and technical hazards, extreme events and human errors in order to mitigate risks and severe consequences, to minimise the vulnerability and to optimise the reliability of systems and structures.

Key element in our developments is a comprehensive risk and uncertainty quantification based on probabilistic, interval and fuzzy methods as well as with imprecise probabilities as a combination thereof. We work with emerging concepts in stochastic mechanics and robust design to cope with model uncertainties, errors in modelling and measurements and noise in signals. This includes innovative developments in system and damage identification, structural health monitoring, vibration control as well as in the quantification of failure consequences. From the mechanical perspective we complement our portfolio with advanced techniques in structural dynamics, systems modelling, multi-scale and multi-physics modelling.

Further information

For further information on our research in Risk and Uncertainty, please visit the webpages of the Institute for Risk & Uncertainty or contact Professor Michael Beer.

Key Facts

Internationally recognised researchers
Our group consists of internationally well-recognised researchers with a substantial publication record in prime Journals, with a fundamental book and book chapters. We have won prestigious national and international awards, hold an Associate Editorship and several Editorial Board Memberships in prime Journals, such as Probabilistic Engineering Mechanics, Structural Safety and Computers and Structures, have edited various Special Issues and conference proceedings and hold active memberships in the Professional Societies in our area such as ASCE, ASME, IACM and ESRA.

In our research we draw on funding sources from the UK and EU but also from industry and other international organisations.

Why Risk and Uncertainty in Engineering in Liverpool?

Scientific Environment

The student will join a multi-disciplinary research group with expertise and experience in various engineering fields as an integrative partner in the Institute for Risk & Uncertainty. Our expertise covers nearly all aspects of Uncertainty & Risk Quantification, which are essential to ensure a safe and efficient operation of engineering structures, infrastructure and machinery. This includes stochastic and generalised quantification concepts, efficient Monte Carlo techniques and stochastic approximations, model-identification and design strategies etc. We develop these concepts and techniques from a thorough mathematical basis to enable realistic applications in areas such as Structural and Offshore Engineering, Earthquake Engineering, Nuclear Engineering, Maintenance Scheduling, Crashworthiness Design, Vibration Control, Lifecycle Engineering etc. On this basis, we can tailor each project to the student’s specific interests and skills. Further, the integration in the Institute for Risk & Uncertainty with its 8 Disciplines opens exciting opportunities and perspectives for research across the boundaries of engineering and exploration of knowledge to build an extended mind and leadership for tomorrow.


Joining our group opens extensive access to high-end technology to work on large-scale applications and to contribute to further improvement and extension of the tools. This concerns, in particular, our general purpose software package COSSAN-X for Uncertainty Quantification and Risk Analysis. Developments by students are envisaged to be implemented in the technology pool and to be tested on industrial examples.


Research in our group involves students directly in our extensive international academic and industrial network. This network includes intensive collaboration with the Virtual Engineering Centre and associated industry and main contacts and immediate collaboration with world-leading partners, for example, in Rice University, Georgia Institute of Technology, Oxford University, Santa Maria University Valparaiso, University of Sao Paulo, National University of Singapore, City University Hong Kong, Dalian Institute of Technology, University of Sydney and many more. Industrial contacts and collaborations include Airbus, Rolls Royce, AREVA, DYNAmore, Daimler AG etc. In this set up students in our group are continuously involved in international activities, such as organising conference, workshops and in industrial projects.