The mechanical response of a homogeneous isotropic linearly elastic material can be fully
characterized by two physical constants, the Young's modulus and the Poisson's ratio, which …

In contemporary elasticity theory, the strain–energy function predominantly relies on the first
invariant I 1 of the deformation tensor; a practice that has been influenced by models derived …

Experiments on brain samples under multiaxial loading have shown that human brain tissue
is both extremely soft when compared to other biological tissues and characterized by a …

We investigate a family of isotropic volumetric-isochoric decoupled strain energies F ↦ W_
eH (F):= W _ eH (U):=\left {μ ke^ k ‖ dev _n U ‖^ 2+ κ 2 ke^ k tr (\log U)^ 2 & if\det F> …

Magneto-active polymers are polymer-based composites consisting of magnetizable micro-
particles embedded in an elastomeric matrix material. The presence of magnetic particles …

Cylindrical tubes and membranes are universal structural elements found in biology and
engineering over a wide range of scales. Working in the framework of nonlinear elasticity …

Biological and synthetic materials often exhibit intrinsic variability in their elastic responses
under large strains, owing to microstructural inhomogeneity or when elastic data are …

In 1909, JH Poynting conducted a series of experiments on metal wires and found that
loaded wires lengthen when twisted. Thus to maintain a constant length in such …

In this paper we develop a framework for solving inverse deformation problems using the
FEniCS Project finite-element software. We validate our approach with experimental …

The present work deals with cross-links in collagenous tissues and proposes a planar
continuum model for large strains to mechanically characterize, for example, the well-known …