Elastic interaction of partially debonded circular inclusions. I. Theoretical solution

Improving the Solution of Fuzzy Differential Inclusions

Minimal energy for elastic inclusions

We consider a variant of the isoperimetric problem with a nonlocal term representing elastic energy. More precisely, our aim is to analyse the optimal energy of an inclusion of fixed volume whose energy is determined by surface and elastic energy. This problem has been studied extensively in the physical/metallurgical literature; however, the analysis has mainly been either (i) numerical, or (i...

Optical and elastic properties of diamond-like carbon with metallic inclusions: A theoretical study

Related Articles Laser ablation and deposition of aluminium with a specially configured target-substrate arrangement J. Appl. Phys. 113, 026102 (2013) A new method for the synthesis of epitaxial layers of silicon carbide on silicon owing to formation of dilatation dipoles J. Appl. Phys. 113, 024909 (2013) Influence of transparent coating hardness on laser-generated ultrasonic waves J. Appl. Phy...

Theoretical Study of 1,4-Dioxane in Aqueous Solution and Its Experimental Interaction with Nano-CuSO4

The electronic structure, Non-Linear Optical (NLO) properties and Natural Bonding Orbital (NBO) analysis of 1,4-dioxane were investigated using the theoretical study of Density Functional Theory (DFT) calculations at the B3LYP/6-311G (d,p) level of theory. The optimized structure is nonlinear as indicated from the dihedral angles.  Natural bonding orbital analysis has been analyzed in terms...

Homogenization of Elastic Media with Gaseous Inclusions

We study the asymptotic behavior of a system modeling a composite material made of an elastic periodically perforated support, with period ε > 0, and a perfect gas placed in each of these perforations, as ε goes to zero. The model we use is linear corresponding to deformations around a reference configuration. We apply both two-scale asymptotic expansion and two-scale convergence methods in ord...