Application of Nonlinear Elasticity to Soft Tissue Biomechanics

Abstract eng:
After a short background discussion, this lecture will focus on the application of anisotropic nonlinear elasticity theory to the modelling of the mechanical properties of soft biological tissues, with particular attention paid to the properties of artery walls and their layered fibrous structure. We shall describe how our models have developed in sophistication as more and more experimental data have become available to inform the modelling process, with particular reference to the details of collagen fibre dispersion and the most recent model involving non-symmetric fibre dispersion. We shall also touch on recent work that shows how omitting the contribution of fibres within a dispersion that are compressed during deformation makes a significant difference to the stress response of the material.

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