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Modeling residual stresses in arterial walls based on anisotropic growth

With the aim of obtaining a general local formulation for anisotropic growth in soft biological tissues, a model based on the multiplicative decomposition of the growth tensor is formulated. The two parts of the growth tensor are associated with the main anisotropy directions. Together with an anisotropic driving force, the model enables an effective stress reduction by including growth‐induced residual stresses, which is demonstrated in a numerical example of an idealized arterial segment. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)