Daniel Balzani

TL;DR: In this paper, a simple method for constructing transversely isotropic polyconvex functions suitable for the description of biological soft tissues is presented, where only a few parameters are necessary to approximate a variety of stress-strain curves and to satisfy the condition of a stress-free reference configuration a priori in the framework of polyconcaveity.

TL;DR: In this article, an anisotropic stored energy function which satisfies a priori the Legendre-Hadamard condition was proposed, which is strongly related to the material stability of the constitutive equations.

TL;DR: In this article, a new material model is proposed for the description of stress-softening observed in cyclic tension tests of collagenous soft tissues such as arterial walls, for applied loads beyond the physiological level.

TL;DR: An anisotropic damage model able to reflect the main damage mechanisms in overstretched arterial walls is used in combination with a polyconvex hyperelastic stored energy function and a method for the incorporation of residual stresses present in the wall of unloaded configurations is applied.

TL;DR: In this paper, the authors propose a method for the construction of statistically similar representative volume elements (SSRVEs), which have much less complexity but reflect the essential morphological attributes of the microscale.