Mathematics of Waves and Materials Seminar - Amir Ghasemkhani
| Dates: | 2 November 2026 |
| Times: | 15:00 - 16:00 |
| What is it: | Seminar |
| Organiser: | Department of Mathematics |
| Who is it for: | University staff, External researchers |
| Speaker: | Amir Ghasemkhani |
|
Title: Microstructure-Informed Modelling of the Achilles Tendon Using Continuum Beam Finite Elements
Abstract:
The mechanical behaviour of the Achilles tendon depends on its collagen microstructure and twisted subtendon architecture. We investigate these contributions using an Absolute Nodal Coordinate Formulation (ANCF) finite-element framework, comparing the Gasser–Ogden–Holzapfel (GOH) model with a microstructurally motivated Fibre Length Distribution (FLD) model that explicitly describes progressive fibril recruitment. Using MRI-derived human Achilles tendon geometry and experimental constitutive data, the FLD model better captures the initial nonlinear toe region. Shorter fibrils recruit earlier and produce a stiffer response, whereas longer fibrils delay recruitment and increase compliance. We further examine the effects of initial pretwist on the medial gastrocnemius, lateral gastrocnemius, and soleus subtendons. At this stage, each subtendon is modelled separately to isolate the effects of pretwist and microstructural variation. Increasing pretwist reduces elongation under the same applied load, with greater sensitivity in the gastrocnemius subtendons than in the soleus. The next stage will assemble the three subtendons in their pretwisted arrangement and incorporate contact and mechanical interaction to investigate the response of the complete Achilles tendon.
Speaker
Amir Ghasemkhani
Role: Phd student
Organisation: The University of Manchester
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Frank Adams 2
Alan Turing Building
Manchester