Transfer matrix analysis of the two-dimensional ANNNI model

1985 ◽  
Vol 59 (3) ◽  
pp. 317-323 ◽  
Author(s):  
W. Pesch ◽  
J. Kroemer
Keyword(s):  
Transfer Matrix ◽  
Matrix Analysis ◽  
Two Dimensional ◽  
Annni Model ◽  
Transfer Matrix Analysis

Transfer-matrix analysis of a two-dimensional quasicrystal

1989 ◽  
Vol 63 (3) ◽  
pp. 310-313 ◽  
Author(s):  
M. Widom ◽  
D. P. Deng ◽  
C. L. Henley
Keyword(s):  
Transfer Matrix ◽  
Matrix Analysis ◽  
Two Dimensional ◽  
Transfer Matrix Analysis

ON LOGARITHMIC CORRECTIONS IN TWO-DIMENSIONAL PERCOLATION

1993 ◽  
Vol 07 (26) ◽  
pp. 1661-1665
Author(s):  
M. MARSILI ◽  
G. JUG
Keyword(s):  
Asymptotic Behavior ◽  
Critical Exponent ◽  
Transfer Matrix ◽  
Finite Size ◽  
Two Dimensions ◽  
Matrix Analysis ◽  
Two Dimensional ◽  
Site Percolation ◽  
Logarithmic Corrections ◽  
Transfer Matrix Analysis

The possibility of unusual leading logarithmic corrections to the asymptotic behavior of the percolation connectedness length ξ in two dimensions is explored through a finite-size transfer-matrix analysis on strips of widths L≤12. It is found that, for both square-site and triangular-site percolation problems, no such corrections arise and the accepted exact value of the critical exponent ν is recovered.

Analysis of skewed multibeam bridges by the transfer matrix method

1985 ◽  
Vol 12 (1) ◽  
pp. 24-35
Author(s):  
I. G. Buckle ◽  
Weng-Onn Lee
Keyword(s):  
Transfer Matrix ◽  
Single Point ◽  
Cross Coupling ◽  
Highway Bridges ◽  
Matrix Analysis ◽  
Matrix Solution ◽  
Transfer Matrix Analysis ◽  
Support Conditions ◽  
Skew Angles ◽  
Span Width

The analysis of multibeam bridge decks is seriously complicated by the effect of skew. Conventional methods invoke grillage solutions, which have inherent difficulties. This paper proposes an extension of the transfer matrix solution for right decks to include the effects of skew without detracting from the simplicity of the method. Both the flexural and torsional flexibility coefficients need to be modified for the skew support conditions and a new flexure–torsion coefficient is introduced to represent the cross-coupling that occurs between these flexibilities because of skew. The assumption of load transference through a single-point hinge between adjacent beams is retained, but the spanwise location of this point is varied from beam to beam according to the degree of skew. Results are presented for a range of skew angles and span/width ratios and compared with those from a modified grillage solution; excellent agreement was demonstrated up to and including 45° skew. Key words: highway bridges, skew, transfer matrix analysis, grillage modelling, multibeam decks, single span, comparative solutions.

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