scholarly journals Modeling of three-dimensional elastic strain fields by point-source method

2015 ◽  
Vol 15 (4) ◽  
pp. 13-23 ◽  
Author(s):  
Sergey Knyazev ◽  
Elena Shcherbakova ◽  
Viktor Pustovoyt ◽  
Anton- Shcherbakov-
Keyword(s):  
Point Source ◽  
Elastic Strain ◽  
Three Dimensional ◽  
Strain Fields ◽  
Source Method

scholarly journals Modeling the elastic strain fields by point-source method

2015 ◽  
Vol 15 (1) ◽  
pp. 29-38 ◽  
Author(s):  
Sergey Knyazev ◽  
Elena Shcherbakova ◽  
Viktor Pustovoyt
Keyword(s):  
Point Source ◽  
Elastic Strain ◽  
Strain Fields ◽  
Source Method

Numerical Study of Three-Dimensional Jets Using Point Source Method

2005 ◽  
Vol 22 (4) ◽  
Author(s):  
Gunjan S. Thakur ◽  
K. Anand ◽  
Anupam Dewan ◽  
K. Srinivasan
Keyword(s):  
Point Source ◽  
Numerical Study ◽  
Three Dimensional ◽  
Source Method

Elastic strain energy and forces on point defects in a two-phase medium

1986 ◽  
Vol 1 (1) ◽  
pp. 193-201 ◽  
Author(s):  
K. Jagannadham ◽  
J. Narayan
Keyword(s):  
Point Source ◽  
Point Defects ◽  
Elastic Strain ◽  
Strain Energy ◽  
Three Dimensional ◽  
Elastic Strain Energy ◽  
Second Phase ◽  
Two Phase ◽  
Phase Medium ◽  
Important Field

Elastic strain energy and forces on point defects in a two-phase medium with a planar interface are analyzed employing the surface dislocation analysis developed earlier for three-dimensional distortions. The important field components, namely, the tractions and the displacements arising due to the point source at the interface, are determined. Furthermore, the field components at the interface are used to determine the elastic strain energy associated with the point source in the two-phase medium and the elastic force exerted by the second phase on the point defect. The significance of these results to the force acting on a vacancy or an interstitial at the interface is emphasized.

On the Eshelby’s Inclusion Problem for Ellipsoids With Nonuniform Dilatational Gaussian and Exponential Eigenstrains

2003 ◽  
Vol 70 (3) ◽  
pp. 418-425 ◽  
Author(s):  
P. Sharma ◽  
R. Sharma
Keyword(s):  
Point Source ◽  
Material Science ◽  
Elastic Strain ◽  
Three Dimensional ◽  
Spherical Shape ◽  
Inclusion Problem ◽  
Elastic State ◽  
One Dimensional ◽  
Source Type ◽  
Limited Degree

This work investigates the three-dimensional elastic state of inclusions in which the prescribed stress-free transformation strains or eigenstrains are spatially nonuniform and distributed either in a Gaussian, or an exponential manner. The prescribed eigenstrain distributions are taken to be dilatational. Typical research in the micromechanics of inclusions and inhomogeneities has dealt, by and large, with spatially uniform eigenstrains and, to some limited degree, with polynomial distributions. Solutions to Eshelby’s inclusion problem, where eigenstrains are Gaussian and exponential in nature, do not exist. Such eigenstrain distributions arise naturally due to highly localized point-source type heating (typical in electronic chips), due to compositional differences, and those due to diffusion related mechanisms among others. The current paper provides such a solution for ellipsoidal shaped inclusions located in an infinite isotropic elastic matrix. It is shown, similar to the much-discussed uniform eigenstrain problem, that the elastic state is completely determined in closed form save for some simple one-dimensional integrals that are evaluated trivially using numerical quadrature. For the specialized case of a spherical shape, solutions in terms of known functions are derived and numerical results are presented. The elastic state both within and outside the inclusion is investigated. For the specific case of a sphere, the elastic strain energies are given in terms of simple formulas. Some applications of the current work in various areas such as electronics, micromechanics of composites, and material science are also discussed.

Incorporation of spatial variability in modeling non-point source groundwater nitrate pollution

1996 ◽  
Vol 33 (4-5) ◽  
pp. 233-240 ◽  
Author(s):  
F. S. Goderya ◽  
M. F. Dahab ◽  
W. E. Woldt ◽  
I. Bogardi
Keyword(s):  
Spatial Variability ◽  
Point Source ◽  
Three Dimensional ◽  
Nitrate Contamination ◽  
Geostatistical Simulation ◽  
Chemical Measurements ◽  
Spatially Distributed ◽  
Potential Benefits ◽  
Zone Modeling ◽  
Physical And Chemical

A methodology for incorporation of spatial variability in modeling non-point source groundwater nitrate contamination is presented. The methodology combines geostatistical simulation and unsaturated zone modeling for estimating the amount of nitrate loading to groundwater. Three dimensional soil nitrogen variability and 2-dimensional crop yield variability are used in quantifying potential benefits of spatially distributed nitrogen input. This technique, in combination with physical and chemical measurements, is utilized as a means of illustrating how the spatial statistical properties of nitrate leaching can be obtained for different scenarios of fixed and variable rate nitrogen applications.

Ultrasonic Field Modeling in Multilayered Fluid Structures Using the Distributed Point Source Method Technique

2005 ◽  
Vol 73 (4) ◽  
pp. 598-609 ◽  
Author(s):  
Sourav Banerjee ◽  
Tribikram Kundu ◽  
Dominique Placko
Keyword(s):  
Point Source ◽  
Ultrasonic Field ◽  
Ultrasonic Transducers ◽  
Analytical Technique ◽  
Source Method ◽  
Fluid Systems ◽  
First Case ◽  
Fluid Layers ◽  
Distributed Point Source Method ◽  
Nonhomogeneous Fluids

In the field of nondestructive evaluation (NDE), the newly developed distributed point source method (DPSM) is gradually gaining popularity. DPSM is a semi-analytical technique used to calculate the ultrasonic field (pressure and velocity fields) generated by ultrasonic transducers. This technique is extended in this paper to model the ultrasonic field generated in multilayered nonhomogeneous fluid systems when the ultrasonic transducers are placed on both sides of the layered fluid structure. Two different cases have been analyzed. In the first case, three layers of nonhomogeneous fluids constitute the problem geometry; the higher density fluid is sandwiched between two identical fluid half-spaces. In the second case, four layers of nonhomogeneous fluids have been considered with the fluid density monotonically increasing from the bottom to the top layer. In both cases, analyses have been carried out for two different frequencies of excitation with various orientations of the transducers. As expected, the results show that the ultrasonic field is very sensitive to the fluid properties, the orientation of the fluid layers, and the frequency of excitation. The interaction effect between the transducers is also visible in the computed results. In the pictorial view of the resulting ultrasonic field, the interface between two fluid layers can easily be seen.

J-Integral Analysis of the Elastic Strain Fields of Ferrite Deformation Twins using Electron Backscatter Diffraction

2021 ◽  
pp. 117203
Author(s):  
Abdalrhaman Koko ◽  
Elsiddig Elmukashfi ◽  
Kalin Dragnevski ◽  
Angus J. Wilkinson ◽  
Thomas James Marrow
Keyword(s):  
Elastic Strain ◽  
Electron Backscatter Diffraction ◽  
J Integral ◽  
Strain Fields ◽  
Integral Analysis ◽  
Deformation Twins ◽  
Electron Backscatter ◽  
Backscatter Diffraction

Three-dimensional transient flow in heterogeneous reservoirs: Integral transform solution of a generalized point-source problem

2021 ◽  
pp. 109976
Author(s):  
Leonardo O. Pelisoli ◽  
Renato M. Cotta ◽  
Carolina P. Naveira-Cotta ◽  
Paulo Couto
Keyword(s):  
Point Source ◽  
Transient Flow ◽  
Integral Transform ◽  
Three Dimensional ◽  
Heterogeneous Reservoirs

Dynamics of a composite system in a point source-induced space–time

2021 ◽  
pp. 2150144
Author(s):  
Abdullah Guvendi
Keyword(s):  
Point Source ◽  
Composite System ◽  
Dimensional Space ◽  
Energy Levels ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Space Time ◽  
Spin Coupling ◽  
Quantum Oscillator ◽  
Dimensional Space Time

We investigate the dynamics of a composite system ([Formula: see text]) consisting of an interacting fermion–antifermion pair in the three-dimensional space–time background generated by a static point source. By considering the interaction between the particles as Dirac oscillator coupling, we analyze the effects of space–time topology on the energy of such a [Formula: see text]. To achieve this, we solve the corresponding form of a two-body Dirac equation (fully-covariant) by assuming the center-of-mass of the particles is at rest and locates at the origin of the spatial geometry. Under this assumption, we arrive at a nonperturbative energy spectrum for the system in question. This spectrum includes spin coupling and depends on the angular deficit parameter [Formula: see text] of the geometric background. This provides a suitable basis to determine the effects of the geometric background on the energy of the [Formula: see text] under consideration. Our results show that such a [Formula: see text] behaves like a single quantum oscillator. Then, we analyze the alterations in the energy levels and discuss the limits of the obtained results. We show that the effects of the geometric background on each energy level are not same and there can be degeneracy in the energy levels for small values of the [Formula: see text].

Sign in / Sign up

Export Citation Format

Share Document