A hyperelastic model of biological tissue materials in tubular organs. Nguyễn, N., H., Raatschen, H., & Staat, M. In Proceedings ECCM 2010, IV European Conference on Computational Mechanics, Paris, France, May 16-21, 2010, 2010.
A hyperelastic model of biological tissue materials in tubular organs [pdf]Website  abstract   bibtex   
The distribution of collagen fibers in various biological tissues has been well defined in the literature. In order to simulate the behavior of biological tissues, the material symmetry and heterogeneity, such as fiber directions and layered structure, respectively must be taken into account. The paper presents a new orthotropic material model for tubular organs. This is a fiber-reinforced material with two fiber families. In each layer, there are five material parameters for both isotropic and anisotropic parts. Hence, the behavior of the material is easily defined by experiments in the principal basis. On the other side, the model satisfies the fundamental conditions for a strain energy function, i.e., the energy and the stresses vanish in the reference configuration. As a result, the model is suitable to simulate soft tissue materials with collagen fibers such as ureter, urethra, intestine, arteries, etc.

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