A generalized self-consistent method for determining effective dynamic elastic and diffraction properties of composites with random structures

2002 ◽  
Author(s):  
A.A. Pan'kov
Keyword(s):  
Effective Dynamic ◽  
Self Consistent ◽  
Random Structures ◽  
Consistent Method ◽  
Properties Of Composites

Effective Antiplane Dynamic Properties of Fiber-Reinforced Composites

2002 ◽  
Vol 69 (5) ◽  
pp. 696-699 ◽  
Author(s):  
X. D. Wang ◽  
S. Gan
Keyword(s):  
Composite Materials ◽  
Wave Speed ◽  
Dynamic Properties ◽  
Fiber Reinforced Composites ◽  
Reinforced Composites ◽  
Reinforced Composite ◽  
Effective Dynamic ◽  
Self Consistent ◽  
Effective Wave ◽  
Properties Of Composites

This paper provides an theoretical analysis of the properties of fibre reinforced composite materials under antiplane waves. A self-consistent scheme is adopted in calculating the effective material constants. A new averaging technique is developed to account for the effects of the waveform. The model is then used to evaluate the effective dynamic properties of composites with randomly distributed fibers. Typical examples are presented to show the effects of different pertinent parameters upon the effective wave speed and the attenuation.

scholarly journals Towards B-Spline Atomic Structure Calculations

Atoms ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 50
Author(s):  
Charlotte Froese Fischer
Keyword(s):  
Atomic Structure ◽  
Bound States ◽  
Virial Theorem ◽  
B Spline ◽  
B Splines ◽  
Self Consistent ◽  
History Of ◽  
Consistent Method ◽  
Atomic Structure Calculations ◽  
Structure Calculations

The paper reviews the history of B-spline methods for atomic structure calculations for bound states. It highlights various aspects of the variational method, particularly with regard to the orthogonality requirements, the iterative self-consistent method, the eigenvalue problem, and the related sphf, dbsr-hf, and spmchf programs. B-splines facilitate the mapping of solutions from one grid to another. The following paper describes a two-stage approach where the goal of the first stage is to determine parameters of the problem, such as the range and approximate values of the orbitals, after which the level of accuracy is raised. Once convergence has been achieved the Virial Theorem, which is evaluated as a check for accuracy. For exact solutions, the V/T ratio for a non-relativistic calculation is −2.

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