Dr Angela Mihai

Dr Angela Mihai

Senior Lecturer in Applied Mathematics

School of Mathematics

Email:
mihaila@cardiff.ac.uk
Telephone:
+44 (0)29 2087 5570
Location:
M/2.14, 2nd Floor, Mathematics Institute, Senghennydd Road, Cardiff, CF24 4AG

Research groups & networks

Research interests

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

Career overview

I am a Senior Lecturer in Applied Mathematics at Cardiff School of Mathematics since August 2016. I joined Cardiff University as a Lecturer in Applied Mathematics in October 2011. Prior to this 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.

Honours and awards

  • 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.

Professional memberships

Committees and reviewing

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

  • Finite Elasticity (22 lectures + 11 example classes), 2014 - Present (Year 4, Spring Semester).
  • Numerical Analysis (22 lectures + 6 example classes), 2013 - Present (Year 2, Autumn Semester).
  • Mechanics (22 lectures + 6 example classes + 5 tutorials), 2012 - 2017 (Year 1, Spring Semester). 

Research overview

My research is in applied and computational mathematics at the interface with physical, engineering and life sciences. My primary area of expertise is in theoretical and computational solid mechanics, including multiscale modelling, limit states analysis, uncertainty quantification, and computer simulations for applications. Current application areas include 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 that 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 across the scales. 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., impact protection, microelectronics, aerospace, pharmaceutical and food processes). 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 are needed and may also open the way to new applications.

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.

Research students & associates

  • Alexander Safar, DPhil student, School of Mathematics, Cardiff University, 2015 - Present.
  • Danielle Fitt, MPhil student, School of Mathematics, Cardiff University, 2018.
  • Khulud Alayyash, DPhil student, School of Mathematics, Cardiff University, 2013 - 2017.
  • Hayley Wyatt, Postdoctoral research associate on EPSRC funded project EP/M011992/1, School of Mathematics, Cardiff University, 2015 - 2017.

Speaking engagements

  • Nonlinear Elasticity Minisynposium, 10th European Solid Mechanics Conference (ESMC), Bologna, Italy, July 2018.
  • Mathematics and Mechanics: Natural Philosophy in the 21st Century, Mathematical Institute, University of Oxford, England, UK, June 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.

Public outreach & media coverage

Events organising

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