Abstract

In this article, a nonlinear viscoelastic formulation for growing skin is developed. The formulation is derived so that the pure growth phenomenon can be recovered when the effect of viscoelasticity is ignored. Moreover, to deal with highly nonlinear formulation, a nonlinear finite element formulation in Total Lagrangian framework is developed. Furthermore, implicit trapezoidal time integration method is employed for evolution equations obtained from viscoelastic and growth contributions. Finally, some examples are provided to investigate the performance of the developed formulation and the good results compared to those available in the literature are obtained.

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