In this paper we present a spline-based hyperelastic model for incompressible transversely isotropic solids. The formulation is based on the Sussman-Bathe model for isotropic hyperelastic materials. We extend this model to transversely isotropic materials following a similar procedure. Our formulation is able to exactly represent the prescribed behavior for isotropic hyperelastic solids, recove...

In aortic dissections blood flows not only in the regular, true lumen but also between separated lamellae within media of wall, so-called false lumen. Both lumina are by a dissection membrane, which may move substantially during cardiac cycle, linking flow and vessel deformation. We employ strongly coupled fluid-structure interaction simulations incorporating an anisotropic, fiber-reinforced, h...

We investigate the formation of wrinkles and bulging in single-layer graphene sheets using an equivalent atomistic continuum nonlinear hyperelastic theory for nanoindentation and nanopressurization. We show that nonlinear geometrical effects play a key role in the development of wrinkles. Without abandoning the classical tension field membrane theory, we develop an enhanced model based upon the...

Hyperelastic constitutive models are frequently used to characterize the stress-strain response of highly flexible materials. Literature surveys reveal most researchers report statistical quantities (e.g. mean and standard deviation) to describe and summarize hyperelastic coefficient values. However, statistical quantities are not appropriate for describing and summarizing coefficient values of...

In the current research, a three-dimensional finite element model was considered to predict the mechanical behavior of Single Wall (SWCNTs) and Multi Wall Carbon Nanotubes (MWCNTs). Assuming the nonlinear elastic behavior of C-C bond in large strains, hyperelastic models were considered. Literature review revealed that the material parameters of the hyperelastic models have been determined from...

The mechanical behavior of the tympanic membrane displays both non-linearity and viscoelasticity. Previous finite-element models of the tympanic membrane, however, have been either non-linear or viscoelastic but not both. In this study, these two features are combined in a non-linear viscoelastic model. The constitutive equation of this model is a convolution integral composed of a non-linear e...