[School of Natural Sciences PhD Scholarships] Multiscale modelling of polymer network constitutive behaviour

About the project

About the Project Fibre networks are ubiquitous in both natural and engineered materials. They are manufactured for many reasons: from the nonwoven fabrics used for insulation, clothing and filtration to the rubberlike polymer-based materials used in applications ranging from plumbing to transport. They are also nature's preferred way of providing structural scaffolding within cells (the cytoskeleton), and within tissues (the extracellular matrix). The mechanical behaviour of these materials is heterogeneous, complex and diverse and it is only by means of predictive mathematical modelling that the underlying processes that govern their behaviour can be fully understood. In this industry-funded project, we will model stochastic fibre networks, with a particular focus on rubberlike polymer networks, seeking to connect microscopic mechanical models formulated using a discrete calculus formalism with macroscopic (continuum) descriptions. The aim will be to determine how the microscopic constitutive properties of the fibres and the geometry and topology of the network influence the strain energy functions that can be used to describe their behaviour on the macroscale. We will combine techniques from discrete calculus, linear algebra and finite strain continuum mechanics to improve upon current methods, producing new constitutive equations that capture the network properties in a mathematically tractable way. The student will work closely with our industrial collaborators and will have the opportunity to spend time on site with them. This project is expected to start in September 2027. Before you apply: We strongly recommend that you contact the supervisors for this project before you apply. How to apply: To be considered for this project you must complete a formal application through our online application portal. If you already have an applicant account this link will directly open an application for PhD School of Natural Sciences Scholarships . If you don’t already have an applicant account, please follow the instructions here . When applying, please specify the full title and supervisor/s of the project, details of your previous study, and names and contact details of two referees. You must also upload a Supporting Statement describing your motivation to apply to the project, your CV and transcripts of awarded and in-progress university qualifications . Please note late or incomplete applications will not be considered. Equality, diversity and inclusion are fundamental to the success of The University of Manchester and central to all our activities. A diverse research community strengthens creativity, productivity and quality, while increasing the societal and economic impact of our work. We welcome applicants from all career paths, backgrounds and sections of the community, regardless of age, disability, ethnicity, gender, gender expression, sexual orientation or transgender status. We welcome applications from candidates returning to study after a career break or experience in other roles. Flexible study arrangements may be available, including part-time study at 50%, 60% or 80%, subject to the requirements of the project and funder. Eligibility : The standard academic entry requirement for this PhD is an upper second-class (2:1) honours degree (or international equivalent) in Mathematics, Mechanical Engineering, Physics or a related discipline OR any upper-second class (2:1) honours degree and a Master’s degree at merit (or international equivalent) in Mathematics, Mechanical Engineering, Physics or related discipline. This project will remain open until filled. If your application is submitted by 1st November 2026, you can expect a decision by 18th December 2026. If your application is submitted by 15th January 2027, you can expect a decision by 30th March 2027. Self or externally funded students can also be considered for this project. FSESoNS

Research areas