However, anisotropic regions can cancel each other out if they are randomly oriented, making the entire material act like it is isotropic. What Are Anisotropic Materials? Other materials have different properties depending on which direction you look at them. These are called anisotropic materials. ...
As accepted in the literature, arterial tissues have in principle anisotropic material properties. Although some very special situations in arteries exist where isotropic constitutive models may approximate the real material behavior with sufficient accuracy, the larger part of analyses requires an ...
For the special case of perfect isotropic diffusion (such as seen in pure liquids), the off-diagonal elements are all zero. The diagonal elements are all the same and equal the single diffusion coefficient,D, for the isotropic material (i.e.,Dxx= Dyy= Dzz= D). ...
Thus, the insights gained from the isotropic and anisotropic configurations of nanoparticle arrays have important implications for designing next-generation materials by combining the benefits of nano-scale precision with macro-scale functionality. Moreover, the adaptability of the PANI-coated AuNPs ...
further insertion is therefore anticipated to cause the dumbbell to increase in length and shrink in width as more material is drawn from the core to form bonds with the added polymer in the shell region. Each nanoparticle core can be thought of as a reservoir of material capable of driving ...
The particle size distribution of the uniform and well-graded material is shown in Fig. 1. The granular properties are given in Table 1. The roundness R and sphericity S were determined according to the definition of Krumbein and Sloss [17]. These particle shape parameters as well as the ...
This implies that these solutions get more and more anisotropic as the uni- verse expands. This rather counter-intuitive behavior, since the tides are kept isotropic, persists even when w attains smaller values, up to the breaking point of the strong energy condition, w = −1/3. This ...
This definition is equivalent to requiring the stronger invariance of the product of the vector field v(F;M) at point M with a material vector having point M as its origin, thus v(F).MM′ should be a true scalar. Definition A tensor-valued function σ(F) is objective iff σ(F) = ...
152 + wavePropagation/sem/elastic/secondOrderEqn/anisotropic/ElasticVTIFields.hpp 153 + wavePropagation/sem/elastic/secondOrderEqn/anisotropic/ElasticVTIWaveEquationSEMKernel.hpp 152 154 wavePropagation/sem/acoustic/secondOrderEqn/anisotropic/AcousticVTIFields.hpp 153 155 wavePropagation/sem/acoustic/seco...
By comparing the isotropic and radially anisotropic structure from our model, we determine the transition from rifting to seafloor spreading in the Red Sea, different source origins for the Cenozoic volcanism, and upwelling and descending of mantle material beneath the Arabian plate. 2. Data and ...