Work by Ciprian Coman illustrating equiangular spirals on wrinkled elastic sheets.
Solid Mechanics
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Wrinkled elastic sheets
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Multi-scale modelling of heart
A left ventricle model with normal vectors on the endocardial surface.
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Nonlinear buckling of thick-walled tube
A thick walled tube with mode-3 buckling.
Most of our work is in the area of theoretical and applied elasticity, which forms the central core of the subject of solid mechanics. Elasticity is a broad fundamental science having applications in a diversity of other areas - for example, engineering structural mechanics (buckling and collapse of mechanical structures), materials science (modelling the mechanical properties of solids such as rubber), geophysics (interpretation of seismic data), non-destructive testing of materials using elastic waves, biomechanics (modelling the mechanical properties of soft tissue such as arteries).
The underlying mathematical theory of elasticity provides a rich framework for the study of such applications, and also offers many interesting and challenging mathematical questions in its own right relating to, for example, the governing partial differential equations and the qualitative properties of their solutions.
Dr David Bourne Lecturer
Materials science; block copolymers; wrinkling patterns in thin films; nonlinearly elastic rods and shells
Prof Nicholas A Hill Head of School
Soft tissue mechanics; aneurysms; aortic dissection; gall bladder pain
Member of other research groups: Mathematical Biology, Fluids
Research students: Weiwei Chen, Muhammad Umar Qureshi, Lei Wang, Reem Almahmud
Dr Ruoyu Huang Research Associate
Dr Wenguang Li Postdoctoral Research Fellow
Biomechanics; modelling of gallbladder; non-linear finite strain modelling
Supervisor: Xiaoyu Luo
Prof Xiaoyu Luo Professor of Applied Mathematics
Biomechanics; fluid-structure interactions; mathematical biology ; solid mechanics
Member of other research groups: Mathematical Biology, Fluids
Research staff: Hao Gao, Wenguang Li
Research students: Weiwei Chen, Yujue Hao, Xingshuang Ma, Nan Qi, Lei Wang, Andrew Allan
Prof Raymond W Ogden George Sinclair Chair
Nonlinear elasticity; biomechanics
Research students: Xingshuang Ma, Mustapha El Hamdaoui, Andrey Melnikov
Dr Steven Roper Lecturer
Materials science; fracture; finite elasticity and surfaces
Member of other research groups: Fluids
Research student: Lei Wang
Dr Lucia Scardia Lecturer
Calculus of variations and partial differential equations; applications in materials science: plasticity and dislocations, rod and plate theories, fracture and damage mechanics, homogenisation.
Member of other research groups: Analysis
Dr Stephen J Watson Lecturer
The application of new mathematical ideas and new computational paradigms to material science, with an emphasis on self-assembling nano-materials; analysis and numerical analysis of partial differential equations arising in Continuum Physics; Material Science and Geometry.
Member of other research groups: Analysis
Mustapha El Hamdaoui PhD Student
Research Topic: Mechanics of Fibre-Reinforced Materials
Supervisor: Raymond W Ogden
Andrey Melnikov PhD Student
Research Topic: Thermoelasticity of Fibre-Reinforced Materials
Supervisor: Raymond W Ogden
Nan Qi PhD Student
Research Topic: Finite element-immersed boundary method and its application to mitral valves and the heart
Member of other research groups: Fluids, Mathematical Biology
Supervisor: Xiaoyu Luo
Lei Wang PhD Student
Research Topic: Modelling aortic dissection using the finite element methods
Member of other research groups: Mathematical Biology
Supervisors: Nicholas A Hill, Xiaoyu Luo, Steven Roper
