On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
Gower, Artur L.
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Ciarletta, P,Destrade, M,Gower, AL (2016) 'On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter'. Scientific Reports, 6 .
Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, and destructive techniques cannot be used to identify a natural stress-free configuration. This work proposes a novel elastic theory of pre-stressed materials. Imposing physical compatibility and symmetry arguments, we define a new class of free energies explicitly depending on the internal stresses. This theory is finally applied to the study of arterial remodelling, proving its potential for the non-destructive determination of the residual tensions within biological materials.