The capability of sand constitutive models is remarkably improved by taking into account the effect of soil state in their formulations. In this study, it has been shown that considering the effect of soil state leads to better simulation of soil instability of shear banding type. To this aim, constitutive equations of a state dependent sand model are explained first. Consequently, the general ...

The Maxwell equations and the constitutive relations describe classical propagation of electromagnetic waves in continuous matter. Here, we investigate effects stemming from extended on bi-isotropic bi-anisotropic media using a general approach based evaluation dispersion refractive indices. For media, specify two classes magnetoelectric parameters represented by symmetric antisymmetric tensors...

Cyclic plasticity and creep are the primary design considerations of 1 and 2 stage gas turbine blades. Directionally-solidified (DS) Ni-base materials have been developed to provide (1) greater creep ductility and (2) lower minimum creep rate in solidification direction compared to other directions. Tracking the evolution of deformation in DS structures necessitates a constitutive model having ...

A local constitutive model for anisotropic granular materials is introduced and applied to isobaric (homogeneous) axial-symmetric deformation. The simplified model (in the coordinate system of the bi-axial box) involves only scalar values for hydrostatic and shear stresses, for the volumetric and shear strains as well as for the new ingredient, the anisotropy modulus. The non-linear constitutiv...

We consider Maxwell’s equations for an isomagnetic anisotropic, non-stationary and inhomogeneous medium in two dimensions. We discuss an inverse problem of determining the permittivity tensor   ε1 ε2 ε2 ε3   and the permeability μ in the constitutive relations from a finite number of lateral boundary measurements. Applying a Carleman estimate, we prove an estimate of the Lipschitz type for ...

Biomechanical properties of soft tissue, such as liver, are important in modeling computer aided surgical procedures. Experimental evidences show that liver tissue is transversely isotropic. In this article, considering the liver tissue as an incompressible fiber-reinforced composite with one family of fibers, an exponential strain energy function (SEF) is proposed. The proposed SEF is based on...

We propose multilayer cylindrical invisibility cloaks that are optimized for oblique incidences through a combination of analytic formalism of scattering and genetic optimization. We show that by using only four layers of homogeneous and anisotropic metamaterials without large values of constitutive parameters, the scattering for oblique incidences can be reduced by 2 orders. Although the optim...

The panoramic lens is a special kind of lens, which is applied to observe full view. In this letter, we theoretically present a panoramic lens (PL) using transformation optics method. The lens is designed with inhomogeneous and anisotropic constitutive parameters, which has the ability to gather light from all directions and confine light within the visual angle of observer. Simulation results ...