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An analytical solution in a closed form is obtained for the three-dimensional elastic strain distribution in an unlimited medium containing an inclusion with a coordinate-dependent lattice mismatch (an eigenstrain). Quantum dots consisting…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 A. V. Nenashev , A. V. Dvurechenskii

Self-assembled quantum dots (QDs) are highly strained heterostructures. the lattice strain significantly modifies the electronic and optical properties of these devices. A universal behavior is observed in atomistic strain simulations (in…

Mesoscale and Nanoscale Physics · Physics 2016-08-30 Hesameddin Ilatikhameneh , Tarek Ameen , Gerhard Klimeck , Rajib Rahman

We introduce a method which enables to directly compare the impact of elastic strain on the optical properties of distinct quantum dots (QDs). Specifically, the QDs are integrated in a cross-section of a semiconductor core wire which is…

The electronic structure of interfaces between lattice-mismatched semiconductor is sensitive to the strain. We compare two approaches for calculating such inhomogeneous strain -- continuum elasticity (CE, treated as a finite difference…

Materials Science · Physics 2009-10-30 C. Pryor , J. Kim , L. W. Wang , A. J. Williamson , A. Zunger

The analytical solution of the equation describing diffusion of intrinsic point defects has been obtained for a one-dimensional finite-length domain. This solution is intended for investigating and modeling the changes in defect…

Materials Science · Physics 2014-06-26 O. I. Velichko

The lattice mismatch strain field of core/multishell structures with spherical symmetry is modeled by a linear continuum elasticity approach. The effect of the strain on the energy structure and linear optical absorption in large…

Optics · Physics 2015-06-22 Tudor E. Pahomi , Tiberius O. Cheche

Geometric phase analysis has been applied to high resolution aberration corrected (scanning) transmission electron microscopy images of InAs/GaAs quantum dot (QD) materials. We show quantitatively how the lattice mismatch induced strain…

Deformation in the lithosphere-asthenosphere system can be accommodated by faulting and plastic flow. However, incorporating structural data in models of distributed deformation still represents a challenge. Here, I present solutions for…

Geophysics · Physics 2018-06-27 Sylvain Barbot

The purpose of this work is to find the time dependent distributions of directions and positions of a particle that undergoes multiple elastic scattering. The angular cross section is given and the scatterers are randomly placed. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ricardo Garcia-Pelayo

Analytical method for the second-order homogenization of two-phase composites within Mindlin-Toupin strain gradient elasticity theory is proposed. Direct approach and self-consistent approximation are used to reduce the homogenization…

Materials Science · Physics 2021-12-24 Y. O. Solyaev

The geometrically rigorous nonlinear analysis of elastic shells is considered in the context of finite, but small, strain theory. The research is focused on the introduction of the full shell metric and examination of its influence on the…

Numerical Analysis · Mathematics 2023-07-19 G. Radenković , A. Borković , B. Marussig

The influence on macroscopic work hardening of small, spherical, elastic particles dispersed within a matrix is studied using an isotropic strain gradient plasticity framework. An analytical solution, based on a recently developed yield…

Materials Science · Physics 2021-10-25 Philip Croné , Peter Gudmundson , Jonas Faleskog

Lattice mismatch in layered semiconductor structures with submicron length scales leads to extremely high nonuniform strains. This paper presents a finite element technique for incorporating the effects of the nonuniform strain into an…

Materials Science · Physics 2009-10-31 H. T. Johnson , L. B. Freund , C. D. Akyuz , A. Zaslavsky

With applications in astroparticle physics in mind, we generalize a method for the solution of the nonlinear, space homogeneous Boltzmann equation with isotropic distribution function to arbitrary matrix elements. The method is based on the…

Astrophysics · Physics 2009-11-06 A. Hohenegger

This paper is concerned with an asymptotic analysis of the dispersion relation for wave propagation in an elastic layer of uniform thickness. The layer is subject to an underlying simple shear deformation accompanied by an arbitrary uniform…

Mathematical Physics · Physics 2007-05-23 Wasiq Hussain

We investigate the scattering of light by a nonlinear, anisotropic slab under conical incidence and arbitrary polarization, within the framework of Maxwell's equations, where the nonlinearities are described by nonlinear susceptibility…

Optics · Physics 2025-12-22 Jérémy Itier , Gilles Renversez , Frédéric Zolla

The authors study the elastic deformation field in lattice-mismatched core-shell nanowires with single and multiple shells. The authors consider infinite wires with a hexagonal cross section under the assumption of translational symmetry.…

Mesoscale and Nanoscale Physics · Physics 2016-08-14 Niels Søndergaard , Yuhui He , Chun Fan , Ruqi Han , Thomas Guhr , H. Q. Xu

With the purpose of investigating a linear elastic solid containing a dilute distribution of cylindrical and prismatic holes parallel to the torsion axis, the full-field solution for an infinite elastic plane containing a single void and…

Classical Physics · Physics 2019-02-25 Summer Shahzad , Francesco Dal Corso

We derive the atomistic representations of the elastic tensors appearing in the linearized theory of first strain-gradient elasticity for an arbitrary multi-lattice. In addition to the classical (2nd-Piola) stress and elastic moduli…

Materials Science · Physics 2016-12-21 Nikhil Chandra Admal , Jaime Marian , Giacomo Po

A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Sameer Grover , Sankalpa Ghosh , Manish Sharma
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