The anisotropy refers to the material properties that are direction dependant. In the past, the HMA has been typically modeled as an isotropic material due to a lack of sufficient data for detailed quantification of its direction-dependency. However, it is reasonable to assert that HMA may exhibit significant anisotropic behaviour due to the major compaction direction and the resulting preferre...

A fully analytical theory is developed to derive the field diffracted by an infinitely long circular cylinder made of an arbitrary anisotropic homogeneous material, illuminated by an arbitrary plane wave.

We investigate optimal elliptic regularity of anisotropic div–grad operators in three dimensions at the crossing of a material interface and an edge of the spatial domain on the Neumann boundary part within the scale of Sobolev spaces.

A finite element model has been used to study potential distribution and current flow paths in highly anisotropic composite materials. Unexpected results are obtained, which are found consistent with minimising of Joule heat release in the material.

In the present paper, the Zelt algorithm has been extended for ray tracing through an anisotropic model. In anisotropic media, the direction of the propagated energy generally differs from that of the plane-wave propagation. This makes velocity values to be varied in different directions. Therefore, velocity modeling in such media is completely different from that in an isotropic media. The vel...

Indentation testing has frequently been used as a method to obtain the material properties of articular cartilage in compression [1]. To account for the wellestablished anisotropic nature of cartilage [2] previous studies have modeled the cartilage as a transversely isotropic biphasic material using optimized FEM curvefitting techniques to obtain the material properties of the tissue in compres...

Bone fragility depends not only on bone mass but also on bone quality (structure and material). To accurately evaluate fracture risk or propose therapeutic treatment, clinicians need a criterion, which reflects the determinants of bone strength: geometry, structure and material. In human long bone, the changes due to aging, accentuated by osteoporosis are often revealed through the trabeculariz...

Transformation optics has been an essential tool for designing cloaking devices for electromagnetic and acoustic waves. All these designs have one requirement in common: material singularity. At the interface between the cloak and the cloaked region, some material properties have to approach infinity, while some others approach zero. This paper attempts to answer a central question in physicall...

The Perona–Malik (PM) model, or the anisotropic diffusion, shows good performance for image restoration. However, it suffers from the so-called staircasing effect if the contrast parameter is small and otherwise cannot preserve edges. This paper proposes a modified Perona–Malik (MPM) model based on directional Laplacian, which diffuses image along the edge direction of the original image. A sli...

formability of automotive friction stir welded twb (tailor welded blank) sheets isnumerically investigated in biaxial stretching based on hemispherical dome stretch (hds) test infour automotive sheets of aluminum alloy 6111-t4, 5083-h18, 5083-o and dp590 steel, havingdifferent thicknesses. the effects of the weld zone modeling and the thickness ratio on formabilityare evaluated. in order to car...