Dr Angela Mihai
Reader in Applied Mathematics
- 5.14, Abacws, Senghennydd Road, Cathays, Cardiff, CF24 4AG
Overview
Groups, teams and networks
- Applied and Computational Mathematics Group
- Discrete Mathematics and Data Science Team
- Materials Research Network
Research interests
- Mathematics of solid mechanics
- Mathematical modelling of soft materials
- Numerical analysis and scientific computing
Administrative roles
- Director of Research and Innovation, Cardiff School of Mathematics (2022 - Present)
- Deputy Director of Research and Innovation, Cardiff School of Mathematics (2016 - 2021)
Biography
Career overview
I am a Reader (Associate Professor) in Applied Mathematics at the School of Mathematics, Cardiff University. I received a DPhil for research in numerical analysis from the University of Durham, UK, in 2005, and worked as a postdoctoral researcher at the Universities of Strathclyde, Cambridge, and Oxford where I developed my expertise in nonlinear elasticity. I joined Cardiff as a University Lecturer in 2011.
Honours and awards
Outstanding Contribution Award, Cardiff University (2015)
Professional memberships
- Faculty Adviser of SIAM-IMA Student Chapter at Cardiff University
- Secretary & Treasurer of SIAM-UKIE Section (2014 - 2016)
Committees and reviewing
- Member
- EPSRC Peer Review College
- UKRI Talent Peer Review College
- Editorial Advisory Board for International Journal of Non-Linear Mechanics (Elsevier)
- Associate Editor
- Transactions of Mathematics and Its Applications (OUP)
- Mathematics and Mechanics of Solids (SAGE)
- Special Issue in Honor of Prof Alain Goriely FRS (2023)
- Journal of Elasticity: The Physical and Mathematical Science of Solids (Springer)
- Reviewer for a wide range of scientific journals
Publications
We are currently unable to retrieve the list of publications. Visit our institutional repository.Teaching
I am a fellow of the UK Higher Education Academy. My teaching at Cardiff University is in Applied Mathematics.
Courses taught
- Numerical Analysis
- Year 2 Mathematics (2013 - Present)
- Finite Elasticity
- Year 3 Mathematics (2020 - 2022)
- Year 4 MMath (2015 - 2020)
- Classical Mechanics
- Year 1 Mathematics (2012 - 2017)
I am generally interested in applied and computational mathematics at the interface with engineering and natural sciences. My primary expertise is in the mathematics of solid mechanics, including multiscale modelling, limit states analysis, optimisation, and uncertainty quantification. For further details, please see my profiles on Google Scholar, MathSciNet, ORCID and ResearchGate.
Funded projects
- Full PhD studentship, College of Physical Sciences and Engineering, Cardiff University (2022 - 2026) - jointly with Dr Yasemin Sengul Tezel
- Uncertainty quantification and stochastic modelling of materials, Issac Newton Institute for Mathematical Sciences, Cambridge (Summer 2023) - jointly with Dr Johann Guilleminot and Prof Alain Goriely
- Retreat for women in applied mathematics, International Centre for Mathematical Sciences (ICMS), Edinburgh (9-13 January 2023) - jointly with Prof Apala Majumdar
- Limit analysis of debonding states in multi-body systems of stochastic hyperelastic material, EPSRC (2019 - 2022)
- Full PhD studentship, College of Physical Sciences and Engineering, Cardiff University (2015 - 2019)
- Limit analysis of collapse states in cellular solids, EPSRC (2015 - 2017)
Mottoes to papers
- "The task of the theorist is to bring order into the chaos of the phenomena of nature, to invent a language by which a class of these phenomena can be described efficiently and simply." - C. Truesdell (1965) (doi: 10.1098/rspa.2017.0607)
- "This task is made more difficult than it otherwise would be by the fact that some of the test-pieces used have to be moulded individually, and it is difficult to make two rubber specimens having identical properties even if nominally identical procedures are followed in preparing them." - R. S. Rivlin & D. W. Saunders (1951) (doi: 10.1007/s42558-019-0013-1)
- "Instead of stating the positions and velocities of all the molecules, we allow the possibility that these may vary for some reason - be it because we lack precise information, be it because we wish only some average in time or in space, be it because we are content to represent the result of averaging over many repetitions [...] We can then assign a probability to each quantity and calculate the values expected according to that probability." - C. Truesdell (1984) (doi: 10.1177/1081286520914958)
- "It is a problem of mechanics, highly complicated and irrelevant to probability theory except insofar as it forces us to think a little more carefully about how probability theory must be formulated if it is to be applicable to real situations.” - E. T. Jaynes (1996) (doi: 10.1088/1361-6544/ab7104)
- "Denominetur motus talis, qualis omni momento temporis t praebet configurationem ca- pacem aequilibrii corporis iisdem viribus massalibus sollicitati, ‘motus quasi aequilibratus’. Generatim motus quasi aequilibratus non congruet legibus dynamicis et proinde motus verus corporis fieri non potest, manentibus iisdem viribus masalibus.” - C. Truesdell (1962) (doi: 10.1093/imatrm/tnz003)
Cover image
- A molecular dynamics simulation of liquid crystal elastomers, Proceedings of the Royal Society A 477, issue 2253, September 2021.
Recorded talks
- Mathematics and mechanics of liquid crystal elastomers, Journal of Engineering Mathematics Webinar (October 2022)
- Mathematics and mechanics of liquid crystal elastomers, Cardiff Applied and Computational Mathematics Seminar (November 2021)
- The mathematics and continuum mechanics of liquid crystal elastomers, LMS Prospects in Mathematics (September 2021)
Supervision
Postdoctoral researchers
- Dr Yang Liu, Research fellow, HORIZON-MSCA-2022 (2023-2025)
- Dr Thomas Raistrick, Research associate, EP/S028870/1 (2022)
- Dr Maciej Buze, Research associate, EP/S028870/1 (2019 - 2022)
- Dr Hayley Wyatt, Research associate, EP/M011992/1 (2015 - 2017)
PhD students
- Rabin Poudel, PhD thesis (2022 - Present): Mathematics of liquid crystal elastomers
Past projects
- Dr Manal Alamoudi, PhD thesis (2018 - 2022): Stochastic finite strain analysis of inhomogeneous hyperelastic solids
- Dr Danielle Fitt, PhD thesis (2018 - 2020): Stochastic modelling and analysis of homogenoues hyperelastic solids
- Dr Alexander Safar, PhD thesis (2015 - 2019): Debonding and stretching of biogenic celular structures
- Mike Crisfield Prize, UK Association for Computational Mechanics (2017)
- Dr Khulud Alayyash, PhD thesis (2013 - 2017): The nonlinear elasticity of cellular bodies under large defomations