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Solid Mechanics

Wrinkled elastic sheets

Work by Ciprian Coman illustrating equiangular spirals on wrinkled elastic sheets.
Multi-scale modelling of heart

A left ventricle model with normal vectors on the endocardial surface.
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.

Staff
Postgraduates
Events

Dr David Bourne Lecturer

Calculus of variations; partial differential equations; numerical analysis; applications in fluid and solid mechanics and materials science; application of mathematics to problems in industry

Member of other research groups: Fluids, Analysis

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

ruoyu.huang@glasgow.ac.uk

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