Numerical determination of surface density of states in one-dimensional model crystals

1980 ◽  
Vol 22 (2) ◽  
pp. 549-556 ◽  
Author(s):  
Ph. Lambin ◽  
J. P. Vigneron
Keyword(s):  
Density Of States ◽  
Surface Density ◽  
Numerical Determination ◽  
Dimensional Model ◽  
One Dimensional

scholarly journals INVERSE PROBLEM OF A ONE-DIMENSIONAL MODEL IN MULTILAYER HEAT CONDUCTION

2020 ◽  
Vol 19 (1) ◽  
pp. 42
Author(s):  
G. C. Oliveira ◽  
S. S. Ribeiroa ◽  
G. Guimarães
Keyword(s):  
Inverse Problem ◽  
Measurement Errors ◽  
Input Data ◽  
Temperature Measurements ◽  
Dimensional Model ◽  
One Dimensional ◽  
Ill Posed ◽  
Measurements Errors ◽  
Chip Chip

The inverse problem in conducting heat is related to the determination of the boundary condition, rate of heat generation, or thermophysical properties, using temperature measurements at one or more positions of the solid. The inverse problem in conducting heat is mathematically one of the ill-posed problems, because its solution extremely sensitive to measurement errors. For a well-placed problem the following conditions must be satisfied: the solution must exist, it must be unique and must be stable on small changes of the input data. The objective of the work is to estimate the heat flux generated at the tool-chip-chip interface in a manufacturing process. The term "estimation" is used because in the temperature measurements, errors are always present and these affect the accuracy of the calculation of the heat flow.

scholarly journals APPLICATION OF SUPERELEMENTS IN STATIC ANALYSIS OF THIN‐WALLED STRUCTURES

2004 ◽  
Vol 10 (2) ◽  
pp. 113-122
Author(s):  
Ireneusz Kreja ◽  
Tomasz Mikulski ◽  
Czeslaw Szymczak
Keyword(s):  
Static Analysis ◽  
Standard Procedure ◽  
Dimensional Model ◽  
Fem Model ◽  
Shell Elements ◽  
One Dimensional ◽  
Thin Walled Structures ◽  
Thin Walled ◽  
Proper Solutions

A concept of a beam superelement is suggested as a new tool in the static analysis of structures made of thin‐walled members. This proposal seems to be especially attractive for treating the problems where the existing one‐dimensional models do not provide proper solutions. This class of problems includes, for instance, the torsion of thin‐walled beams with battens and the determination of the bimoment distribution at the nodes of frames made of thin‐walled members. The entire segment of the thin‐walled beam with warping stiffener or the whole node of the frame is modelled with shell elements. The stiffness matrix of such thin‐walled beam superelement can be estimated according to the standard procedure of the enforced unit displacements. The accuracy of the proposed one‐dimensional model has proved to be comparable to that offered by the detailed FEM model where the whole structure is represented by a very large number of shell elements.

Numerically Efficient Computation of Eigensolution Spectrum in One-Dimensional Heterostructures

1998 ◽  
Vol 09 (07) ◽  
pp. 927-934 ◽  
Author(s):  
F. Farrelly ◽  
A. Petri
Keyword(s):  
Transfer Matrix ◽  
Density Of States ◽  
Spatial Behavior ◽  
Efficient Computation ◽  
Matrix Methods ◽  
One Dimensional ◽  
Schrödinger’S Equation ◽  
Schrödinger's Equation

We describe a method that allows an efficient determination of the density of states of one-dimensional heterostructures. We show that the propagation of an appropriate vector through the structure together with the use of the node theorem is much more effective than transfer matrix methods in those cases in which highly degenerate spectra are present. As a by-product, spatial behavior of solutions is also easily obtained. A case of elastic propagation is discussed in detail and application to Schrödinger's equation is presented.

A one dimensional model for the determination of an ejector entrainment ratio

2012 ◽  
Vol 35 (4) ◽  
pp. 772-784 ◽  
Author(s):  
Javier García del Valle ◽  
José M. Sáiz Jabardo ◽  
Francisco Castro Ruiz ◽  
Julio San José Alonso
Keyword(s):  
Dimensional Model ◽  
Entrainment Ratio ◽  
One Dimensional
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