![]() The production and use of artificially grown biological tissue has become an important research topic in the medical context over the last two decades. Besides the theoretical development, we also describe the algorithmic implementation and furthermore compare the newly derived model with a standard formulation of isotropic growth. It furthermore allows the model to flexibly adapt to changing boundary and loading conditions. This approach naturally leads to a formulation that is able to cover both, isotropic and anisotropic growth-related changes in geometry. Making use of well-established methods from visco-plasticity, the evolution of the growth-related right Cauchy–Green tensor is subsequently defined as a time-dependent associative evolution law with respect to the introduced potential. Such a potential describes all eligible homeostatic stress states that can ultimately be reached as a result of the growth process. Instead of using the standard approach of a-priori defining the structure of the growth tensor, we postulate the existence of a general growth potential. ![]() Within this contribution, we propose a new macroscopic approach for modelling stress-driven volumetric growth occurring in soft tissues. The simulation of growth processes within soft biological tissues is of utmost importance for many applications in the medical sector. ![]()
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