A method to simulate orthotropic behaviour in thin shell finite elements is proposed. The approach is based on the transformation of shape function derivatives, resulting in a new orthogonal basis aligned to a specified preferred direction for all elements. This transformation is carried out solely in the undeformed state leaving minimal additional impact on the computational effort expended to...

The classical Julia–Wolff–Carathéodory theorem characterizes the behaviour of the derivative of an analytic self-map of a unit disk or of a half-plane of the complex plane at certain boundary points. We prove a version of this result that applies to noncommutative self-maps of noncommutative half-planes in von Neumann algebras at points of the distinguished boundary of the domain. Our result, s...

We present a new approach to calculate the attractive long-range vortex-vortex interaction of the van der Waals type present in anisotropic and layered superconductors. The mapping of the statistical mechanics of two-dimensional charged bosons allows us to define a Casimir problem: Two half spaces of vortex matter separated by a gap of width R are mapped to two dielectric half planes of charged...

6 Patient-specific high order finite-element (FE) models of human femurs based on quantitative computer tomography (QCT) with inhomogeneous orthotropic and isotropic material properties are addressed. The point-wise orthotropic properties are determined by a micromechanics (MM) based approach in conjunction with experimental observations at the osteon level, and two methods for determining the ...

By the method of direct cutting-out, problems longitudinal shear an orthotropic half space, a layer, and wedge with thin elastic inclusions are reduced to basic problem interaction inhomogeneities in space. We establish conditions loaded anisotropic matrix body. study influence moduli both inclusion body, as well geometric parameters on generalized stress intensity factors. The level lines stre...