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Mathematics of Waves and Materials Seminar - Amir Ghasemkhani

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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
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  • In category "Seminar"
  • In group "(Maths) Mathematics of waves and materials"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

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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