Ewch i’r prif gynnwys
Dr Angela Mihai

Dr Angela Mihai

Lecturer in Applied Mathematics

Abacws, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG


I am a mathematician working on developing new mathematical tools for applications in physical, engineering and life sciences. My primary area of expertise is in theoretical and computational solid mechanics, including multiscale modelling, limit states analysis, and computer simulations for applications. Current application areas inlude the fundamental mechanics of cellular bodies and soft tissue biomechanics.

I am especially interested in the mechanical responses of nonlinear elastic materials which cannot be represented by constants but are generally described by parameters which are scalar functions of the deformation. For these materials, the aim is to determine constitutive parameters that capture nonlinear elastic behaviours which play significant roles in applications.

An important application area is the mathematical modelling and mechanical analysis of load- and non-load-bearing cellular structures operating under large strain deformation. Cellular structures are the subject of significant research efforts in biomedical applications, where the development of new flexible scaffolds for tissue re-growth is a rapidly growing multidisciplinary area of biomaterials and tissue engineering. Cellular bodies are also ubiquitous in nature and can be found in most things where light-weight, shock-absorbing, multi-functional materials are required, in everyday life as well as in several industrial areas (e.g., microelectronics, aerospace, pharmaceutical and food processes). Although, in many cases, it is hard to estimate their precise cost or the exact value of those protected by them, it is not difficult to appreciate their overwhelming significance for the economy and society. For these complex materials to be understood and optimised with respect to their mechanical responses, reliable models that take into account the interplay between the geometry and the mechanical qualities of the constituents across the scales are needed and may also open the way to new applications.

For further details, see my research publications, or view my research profle at Google Scholar, ORCID, ResearcherID, or ResearchGate.


Career overview

I am a Senior Lecturer in Applied Mathematics at the Cardiff School of Mathematics since August 2016. Prior to this, I was a Lecturer in Applied Mathematics at the same institution, from October 2011. Before joining Cardiff University, I worked as a postdoctoral researcher at the Universities of Oxford, Cambridge, and Strathclyde in Glasgow.

Education and qualifications

I hold a DPhil in Numerical Analysis from the University of Durham, UK, a Certificate of Advanced Study in Mathematics (Part III of the Mathematical Tripos) from the University of Cambridge, UK, and a BSc in Mathematics from the University of Bucharest, Romania.

Anrhydeddau a Dyfarniadau

  • Outstanding Contribution Award, Cardiff University, Wales, UK, 2015.
  • Postdoctoral Researcher Presentation Prize, UK Association for Computational Mechanics, Queen's University Belfast, Ireland, UK, 2006.
  • The Euan Squires Memorial Prize, University of Durham, England, UK, 2003.
  • SIAM-UKIE Student Presentation Prize, Society for Industrial and Applied Mathematics, University of Durham, England, UK, 2002.
  • Shell Centenary Scholarship, Shell Group & Cambridge University Trust, England, UK, 1999-2000.

Aelodaethau proffesiynol

Ymrwymiadau siarad cyhoeddus

  • Nonlinear Elasticity Minisynposium, 10th European Solid Mechanics Conference (ESMC), Bologna, Italy, July 2018.
  • International Workshop on Modelling of Nonlinear Continua, Centro Internacional de Encuentros Matematicos, Castro Urdiales, Spain, June 2017.
  • Elasticity Day, the 7th in a series of one-day events for the solid mechanics community, School of Engineering, Cardiff University, Wales, UK, May 2017.
  • Applied Mathematics Seminar, School of Mathematics, University of Glasgow, Scotland, UK, March 2017.
  • Applied Mathematics Seminar, School of Mathematics, Cardiff University, Wales, UK, February 2017.
  • Applied Mathematics Seminar, Department of Mathematics, University College London, England, UK, January 2017.
  • 21st Annual Meeting of SIAM-UKIE, University of Strathclyde, Scotland, UK, January 2017.
  • Residential Workshop on Computational Sciences for Medical Simulation: Surgical Training and Guidance, University of Luxembourg, Luxembourg, December 2016.
  • Emerging Trends in Applied Mathematics and Mechanics International Conference, University of Perpignan, France, June 2016.
  • SIAM Student Chapter Annual Meeting, School of Mathematics, University of Manchester, England, UK, May 2016.
  • Fluids and Materials Seminar, School of Mathematics, University of Bristol, England, UK, April 2016.
  • Mathematical Mechanical Biology Minisymposium, British Applied Mathematics Colloquium (BAMC), University of Oxford, England, UK, April 2016.
  • Applied Mathematics Seminar, School of Mathematics, University of Birmingham, England, UK, February 2016.
  • Applied Mechanics Seminar, Faculty of Engineering and the Environment, University of Southampton, England, UK, December 2015.
  • EPSRC-DST Indo-UK Workshop: Mathematics, Mechanics and Physics for Tomorrow's Materials, International Centre for Mathematical Sciences, Edinburgh, Scotland, UK, October 2015.
  • International Workshop on Modelling Across the Biology-Mechanics Interface, Centro Internacional de Encuentros Matematicos, Castro Urdiales, Spain, September 2015.
  • 2nd Workshop on Soft Tissue Modelling, University of Glasgow, Scotland, UK, June 2015.
  • Applied Mathematics Seminar, School of Mathematics, University of Manchester, England, UK, April 2015.
  • LMS Prospects in Mathematics, Mathematical Institute, University of Oxford, England, UK, December 2014.
  • Numerical Analysis Seminar, Department of Mathematical Sciences, University of Bath, England, UK, December 2014.
  • LMS-WIMCS Applied Analysis Day, Aberystwyth University, Wales, UK, May 2014.
  • Newport & District Materials Society, The Institute of Materials, Minerals and Mining (IOM3), Cardiff University, Wales, UK, March 2014.
  • Mechanics Research Seminar, School of Engineering and Computing Sciences, University of Durham, England, UK, February 2014.

Pwyllgorau ac adolygu




















Academic affiliation and training

  • Fellow of the UK Higher Education Academy, 2014 - Present.
  • Postgraduate Certificate in University Teaching and Learning, Cardiff University, Wales, UK, 2014.

Undergraduate teaching

  • MA4012 Finite Elasticity (22 lectures + 11 example classes), 2014 - Present (Spring Semester).
  • MA2701 Numerical Analysis (22 lectures + 6 example classes), 2013 - Present (Autumn Semester).
  • MA1300 Mechanics I (22 lectures + 6 example classes + 5 tutorials), 2012 - 2017 (Spring Semester).

Undergraduate projects

  • Nonlinear constitutive parameters for hyperelastic materials with uncertainties - Adair Paez-Bastia (BSc), Cardiff School of Mathematics, 2017 - 2018.
  • Instabilities in hyperelastic models for adipose tissue - Aaron English (MMath), Cardiff School of Mathematics, 2015 - 2016.

Research group & interdisciplinary team

Research interests

  • Mathematics and mechanics of solids and structures (elasticity, contact problems, limit states analysis)
  • Mathematical modelling in materials science (soft solids, foams, soft tissues)
  • Numerical analysis and scientific computing (finite elements, optimisation, uncertainty quantification)

Grants awarded

  • College of Physical Sciences and Engineering, Cardiff University, UK, full research scholarship for a postgraduate student under my supervision, 2015 - 2019.
  • Engineering and Physical Sciences Research Council of Great Britain (EPSRC) first grant EP/M011992/1, 2015 - 2017.
  • Institute of Mathematics and its Applications (IMA) - UK small grant SGS10/13, 2013.

Postgraduate students & research associates

Public outreach & media coverage

Events organising

  • Elasticity Day 2017, the 7th in a series of one-day events for the solid mechanics community. Jointly with Prof Massimiliano Gei and Dr Lorenzo Morini, School of Engineering, Cardiff University, Wales, UK.


Past projects