Linear-superposition method for the multiple-scattering problem in low-energy-photoelectron diffraction

1993 ◽  
Vol 48 (12) ◽  
pp. 9054-9057 ◽  
Author(s):  
V. Fritzsche ◽  
J. B. Pendry
Keyword(s):  
Multiple Scattering ◽  
Scattering Problem ◽  
Low Energy ◽  
Superposition Method ◽  
Linear Superposition ◽  
Photoelectron Diffraction

MSPHD: A full multiple scattering code for low energy photoelectron diffraction

2000 ◽  
Vol 132 (3) ◽  
pp. 251-266 ◽  
Author(s):  
R. Gunnella ◽  
F. Solal ◽  
D. Sébilleau ◽  
C.R. Natoli
Keyword(s):  
Multiple Scattering ◽  
Low Energy ◽  
Photoelectron Diffraction

Stopping power and multiple scattering of Havar and Kapton for low energy protons

1979 ◽  
Vol 159 (2-3) ◽  
pp. 513-516 ◽  
Author(s):  
F. Foroughi ◽  
B. Vuilleumier ◽  
E. Bovet
Keyword(s):  
Multiple Scattering ◽  
Low Energy ◽  
Stopping Power

Evaluating Shakedown for Structures Based on the Element Bearing-Ratio

2011 ◽  
Vol 137 ◽  
pp. 16-23 ◽  
Author(s):  
Wei Zhang ◽  
Lu Feng Yang ◽  
Chuan Xiong Fu ◽  
Jian Wang
Keyword(s):  
Yield Criterion ◽  
Solution Procedure ◽  
Superposition Method ◽  
Linear Superposition ◽  
Non Linear Programming ◽  
Elastic Plastic ◽  
Non Linear ◽  
Efficiency And Effectiveness ◽  
Linear Programming Formulation ◽  
Element Bearing

Based on Melan’s theorem, an improved numerical solution procedure for evaluating shakedown loads by non-linear superposition method is presented, and the relationship between the classical non-linear programming formulation of shakedown problem and the numerical method is disclosed. The stress term in classical optimization problem is replaced by the element bearing-ratio (EBR) in the procedure, and series of residual EBR fields can be generated by the D-value of the elastic-plastic EBR fields and the elastic EBR fields at every incremental loading step. The shakedown load is determined by performing the incremental non-linear static analysis when the yield criterion is arrived either by the elastic-plastic EBR fields or residual EBR fields. By introducing the EBR, the proposed procedure can be easily used to those complex structures with multi-material and complicated configuration. The procedure is described in detail and some numerical results, that show the efficiency and effectiveness of the proposed method, are reported and discussed.

An assessment of multiple-scattering effects in Auger electron and photoelectron diffraction

1989 ◽  
Vol 158 (1-3) ◽  
pp. 564-565
Author(s):  
A.P. Kaduwela ◽  
G.S. Herman ◽  
J. Osterwalder ◽  
C.S. Fadley ◽  
J.J. Rehr ◽  
...  
Keyword(s):  
Multiple Scattering ◽  
Auger Electron ◽  
Photoelectron Diffraction ◽  
Scattering Effects ◽  
Multiple Scattering Effects
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