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Dr Layal Hakim

Lecturer in Mathematics (Education and Scholarship)

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Dr. Layal Hakim was born in London, England. She attended Brunel University in September 2007, and graduated with a Bachelors of Science degree with Honors in Mathematics in July 2010. In October 2010, she started a PhD, funded by the EPSRC, in the same department under the supervision of Professor Sergey Mikhailov. Her thesis is titled  'Numerical Analysis of a Cohesive Zone Model Approach for Time and History Dependent Materials’. In this project, a non-linear history-dependent cohesive zone model of crack growth in linear elastic and viscoelastic materials is studied. The viscoelasticity is described by a linear Volterra integral operator in time. The normal stress on the cohesive zone satisfies the history dependent yield condition. The crack starts propagating when the crack tip opening reaches a prescribed critical value. A numerical algorithm for computing the evolution of the crack and cohesive zone was formulated and implemented.

Layal completed her PhD in April 2014 and joined the Department of Computing at Imperial College London as a research associate in July 2014. She was a member of the MOSS project which is funded by the Technology Strategy Board. The main aim of this project is to obtain a way of processing  and archiving binary large objects by making wide use of functional programming languages.  As the  operations on binary large objects are generally immutable, they can be treated as mathematical values that are amenable to manipulation using  functional programming techniques. Such techniques rely on the use of abstractions, particularly control abstractions presented as higher-order functions. In October 2015, Layal joined the Department of Mathematics  at Imperial College as a research associate in the Applied Mathematics and Mathematical Physics section. Alongside her research, Layal used to lecture undergraduate students in the mathematics department. She also enjoys participating in conferences and other maths-related events and workshops.

Main research interests: Integral equations, numerical methods, solid mechanics, fracture mechanics, viscoelasticity, and programming.

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