The Monte Carlo method for photon transport is often used to predict the volumetric heating that an optical source will induce inside a tissue or material. This method relies on constant (with respect to temperature) optical properties, specifically the coefficients of scattering and absorption. In reality, optical coefficients are typically temperature-dependent, leading to error in simulation...

A composite material comprising randomly distributed spherical particles of two different isotropic dielectric–magnetic materials is homogenized using the second–order strong– property–fluctuation theory in the long–wavelength approximation. Whereas neither of the two constituent materials by itself supports planewave propagation with negative phase velocity (NPV), the homogenized composite mat...

We introduce certain torus-equivariant classes on permutohedral varieties which we call “tautological of matroids” as a new geometric framework for studying matroids. Using this framework, unify and extend many recent developments in matroid theory arising from its interaction with algebraic geometry. achieve by establishing Chow-theoretic description log-concavity property 4-variable transform...

We study our Schwinger-Dyson equation as well as the large N c loop equation for supersymmetric Yang-Mills theory in four dimensions by the N = 1 superspace Wilson-loop variable. We are successful in deriving a new manifestly supersymmetric form in which a loop splitting and joining are represented by a manifestly supersymmetric as well as supergauge invariant operation in superspace. This is f...

The aim of this research is to assess the effects of interphase property and matrix property on the tensile elastic modulus (TEM) of the carbon nanotube (CNT) using a 3-D nanoscale representative volume element (RVE) based on continuum mechanics and using the finite element method (FEM). Formulas to extract the effective material constants from solutions for the RVE is derived based on the elas...

This paper tackles the electron microscope image processing for rubber material discovery. In science fields, images are used to observe properties of materials during their development process. Hence, by analyzing with recent technology, it is expected that further effective developments can be realized. this paper, we propose a compound and physical property retrieval method using images. The...

with the emergence of new legal regimes such as intellectual property rights, new complexities in the process of determination of applicable law are involved in private international law. the dilution of physical center of gravity for disputes related to intellectual property rights and the effects of utilitarianism in law with an emphasis on public interest has led to the adoption of new metho...

In this article, the thermoelastic interactions in an isotropic and homogeneous semi-infinite medium with variable thermal conductivity caused by an ultra-short pulsed laser heating based on the linear nonlocal theory of elasticity has been considered. We consider that the thermal conductivity of the material is dependent on the temperature. The surface of the surrounding plane of the medium is...

Abstract: In the present article, a semi-analytical technique to investigate free bending vibration behavior of axially functionally graded non-prismatic Timoshenko beam subjected to a point force at both ends is developed based on the power series expansions. The beam is assumed to be made of linear elastic and isotropic material with constant Poisson ratio. Material properties including the ...