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Dr Angela Mihai

Dr Angela Mihai

Reader in Applied Mathematics

School of Mathematics

+44 (0)29 2087 5570
M/2.14, 2nd Floor, Mathematics Institute, Senghennydd Road, Cardiff, CF24 4AG

Groups and teams

Research interests

  • Mathematics of solid mechanics
  • Mathematical modelling of soft materials
  • Numerical analysis and scientific computing

Career overview

I received my DPhil for research in numerical analysis from the University of Durham, UK, in 2005, then worked as a postdoctoral researcher at the Universities of Strathclyde, Cambridge, and Oxford where I developed my expertise in nonlinear elasticity. I have been on the faculty of the School of Mathematics at Cardiff University since 2011, and a Reader (Associate Professor) in Applied Mathematics from 2019.

Honours and awards

  • Outstanding Contribution Award, Cardiff University, 2015

Professional memberships

Committees and reviewing















I am a fellow of the UK Higher Education Academy. My teaching at Cardiff University is in Applied Mathematics.

Courses taught

  • Finite Elasticity (year 3 Mathematics, from 2021; year 4 MMath, 2015 - 2020)
  • Numerical Analysis (year 2 Mathematics, 2013 - 2019)
  • Classical Mechanics (year 1 Mathematics, 2012 - 2017)

My research is in applied and computational mathematics at the interface with physical, engineering and life sciences. My primary expertise is in the mathematics of solid mechanics, including multiscale modelling, limit states analysis, optimisation, and uncertainty quantification. Of special interest to me are nonlinear elastic material properties and contact problems in elasticity. Important application fields include engineering, biomechanics, and materials science. For further details, please see my publications.

Recently funded projects

  • Limit analysis of debonding states in multi-body systems of stochastic hyperelastic material EP/S028870/1 (2019 - 2022)
  • Limit analysis of collapse states in cellular solids EP/M011992/1 (2015 - 2017)

Mottoes to selected 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)
  • "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)
  • "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)
  • "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) (

Research students

Postdoctoral researchers

  • Dr Maciej Buze, Postdoctoral research associate, EP/S028870/1 (2019 - 2021)
  • Dr Hayley Wyatt, Postdoctoral research associate, EP/M011992/1 (2015 - 2017)