The concept of representative crack elements has been successfully introduced to phase-field fracture in previous publications, where anisotropic elasticity [1], visco-elasticity [2], elasto-plasticity and surface friction [3] are considered at small deformations. This framework allows overcome unrealistic predictions for the kinematics, reported e.g. Strobl Seelig [4], Steinke Kaliske [5], kno...

This paper develops a stochastic model for the spatially-dependent material parameters parameterizing anisotropic strain energy density functions. The construction is cast within framework of information theory, which invoked to derive least-informative while ensuring consistency with theoretical requirements in finite elasticity. Specifically, almost sure polyconvexity and uniform growth condi...

2014 It is shown that the energy of a screw disclination of strength + 1 [1] (2 03C0 rotation of the director around the line) is reduced if the molecules are allowed to relax out of the plane perpendicular to the line. This solution has no singularity on the axis, r = 0. The calculation is done in the case of the anisotropic elasticity [2] for the pure splay-bend and twist-bend cases. It satis...

Rayleigh waves are studied in an elastic half-layer with a periodic end and rigidly clamped faces. It is established that the essential spectrum of the corresponding problem of elasticity theory has a band structure, and an example of a waveguide is presented in which a gap opens in the essential spectrum; i.e., an interval arises that contains points of an at most discrete spectrum.

The symmetry classes of a linear constitutive law define the different types anisotropy that can be modelled by it. However, spaces materials are very rich and whole range intermediate possibilities exists beyond classes. Geometric methods developed to characterise in fine way allow these detected. Materials with non-standard anisotropic properties associated called exotic materials. In this pa...