UPPER AND LOWER BOUNDS TO THE CHARACTERISTIC IMPEDANCE OF TRANSMISSION LINES USING THE FINITE‐ELEMENT METHOD

1984 ◽  
Vol 3 (2) ◽  
pp. 65-78 ◽  
Author(s):  
P. DALY
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lower Bounds ◽  
Transmission Lines ◽  
Characteristic Impedance ◽  
Upper And Lower Bounds ◽  
The Finite Element Method ◽  
Element Method

Elastic Bounds of Bioinspired Nanocomposites

2013 ◽  
Vol 80 (6) ◽  
Author(s):  
H. J. Lei ◽  
Z. Q. Zhang ◽  
F. Han ◽  
B. Liu ◽  
Y.-W. Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Aspect Ratio ◽  
Lower Bounds ◽  
Analytical Solutions ◽  
Volume Fraction ◽  
Upper And Lower Bounds ◽  
Geometrical Parameters ◽  
The Finite Element Method ◽  
Synthetic Materials

Biological materials in nature serve as a valuable source of inspiration for developing novel synthetic materials with extraordinary properties or functions. Much effort to date has been directed toward fabricating and understanding bio-inspired nanocomposites with internal architectures mimicking those of nacre and collagen fibril. Here we establish simple and explicit analytical solutions for both upper and lower bounds of the elastic properties of biocomposites in terms of various physical and geometrical parameters including volume fraction and moduli of constituents, and aspect ratio and alignment pattern of stiff reinforcements. Numerical analyses based on the finite element method are performed to validate the derived elastic bounds.

Lower Bounds for Eigenvalues of the Stokes Operator

2013 ◽  
Vol 5 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Jun Hu ◽  
Yunqing Huang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lower Bound ◽  
Lower Bounds ◽  
Stokes Operator ◽  
The Finite Element Method ◽  
Discrete Eigenvalue ◽  
Nonconforming Methods ◽  
Element Method

AbstractIn this paper, we propose a condition that can guarantee the lower bound property of the discrete eigenvalue produced by the finite element method for the Stokes operator. We check and prove this condition for four nonconforming methods and one conforming method. Hence they produce eigenvalues which are smaller than their exact counterparts.

Sway Added-Mass of Cylinders in a Canal Using Dual-Extremum Principles

1977 ◽  
Vol 21 (04) ◽  
pp. 193-199
Author(s):  
Kwang June Bai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lower Bounds ◽  
Added Mass ◽  
Numerical Results ◽  
Upper And Lower Bounds ◽  
Two Dimensional ◽  
Rectangular Section ◽  
Circular Section ◽  
Element Method

This paper describes a finite-element method based on the dual extremum principles. As an application of the dual-extremum principles, the upper and lower bounds of the added mass of two-dimensional cylinders in a canal are computed for the zero-and infinite-frequency limits. Specifically, the upper and lower bounds of the added mass of a rectangular section, a triangular section, a circular section, and a Lewis-form section at the center of a rectangular canal are computed. The added mass is also computed for a rectangular section at off-center locations in a canal. Present numerical results are compared with previous results obtained by the hypercircle method [1].

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