Modelling tendon and ligament non-linear elasticity

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• Tom Shearer (University of Manchester)
• Thursday 03 August 2023, 16:00-17:00
• Seminar Room 1, Newton Institute.

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USMW02 - Mathematical mechanical biology: old school and new school, methods and applications

Tendons are the connective tissues that attach muscles to bones. Ligaments have a similar function but connect two bones. They both have complex microstructures consisting of a hierarchical arrangement of collagen fibres embedded in a compliant matrix and can have varied macroscale geometries ranging from cylinders to tapered bands to hourglass shapes. The interplay between their micro- and macro-structure makes it challenging to model their mechanical behaviour. In this seminar, I will present a microscale constitutive model that can be used to predict how the structural arrangement of the collagen fibres impacts tendon and ligament stress-strain behaviour. I will explain how it can be used to infer microscale parameter values from macroscale mechanical data. Then, I will discuss its implementation in a finite element model to investigate the effects of macroscale geometry, highlighting the importance of realistic fibre alignment and how this has been neglected in the literature. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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