On the determination of the sum of the principal stresses in two-dimensional problems

1966 ◽  
Vol 6 (9) ◽  
pp. 19A-28A ◽  
Author(s):  
A. J. Durelli ◽  
V. J. Parks ◽  
A. Mulzet
Keyword(s):  
Two Dimensional ◽  
Principal Stresses

Application of Moire Methods to the Determination of Transient Stress and Strain Distributions

1962 ◽  
Vol 29 (1) ◽  
pp. 23-29 ◽  
Author(s):  
W. F. Riley ◽  
A. J. Durelli
Keyword(s):  
Strain Distribution ◽  
Stress And Strain ◽  
Two Dimensional ◽  
Distribution Problem ◽  
Principal Stresses ◽  
Transient Stress ◽  
Optical Phenomenon ◽  
Moiré Effect ◽  
Fringe Patterns

When two arrays of lines are superimposed an optical phenomenon known as the moire effect is observed under certain conditions. This moire effect is used by the authors to determine the distribution of transient strains on the surface of two-dimensional bodies. The method can be used to solve completely the strain-distribution problem or it can be used in combination with photoelasticity to separate the principal stresses. The methods used in interpreting the moire fringe patterns and the techniques used to produce the patterns are described in the paper. Two applications are discussed.

Photoelastic Separation of Principal Stresses by Oblique Incidence

1943 ◽  
Vol 10 (3) ◽  
pp. A156-A160
Author(s):  
D. C. Drucker
Keyword(s):  
Oblique Incidence ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Fringe Order ◽  
Principal Stresses ◽  
Significant Magnitude ◽  
Oblique Position ◽  
Theoretical Evidence

Abstract Rotation of a two-dimensional model about an axis in its plane is suggested as a simple and quite rapid means of obtaining p and q separately. A determination of retardation (fringe order) in an oblique position is all that is required in addition to the usual photoelastic measurements. Experimental and theoretical evidence is presented to show that accurate results can easily be obtained when the principal stress is of significant magnitude. The method can also be applied in three-dimensional studies.

scholarly journals Geometrical four-point functions in the two-dimensional critical Q-state Potts model: the interchiral conformal bootstrap

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yifei He ◽  
Jesper Lykke Jacobsen ◽  
Hubert Saleur
Keyword(s):  
Potts Model ◽  
Correlation Functions ◽  
Liouville Theory ◽  
Analytical Determination ◽  
Conformal Weight ◽  
Two Dimensional ◽  
Conformal Blocks ◽  
Conformal Bootstrap ◽  
Point Correlation

Abstract Based on the spectrum identified in our earlier work [1], we numerically solve the bootstrap to determine four-point correlation functions of the geometrical connectivities in the Q-state Potts model. Crucial in our approach is the existence of “interchiral conformal blocks”, which arise from the degeneracy of fields with conformal weight hr,1, with r ∈ ℕ*, and are related to the underlying presence of the “interchiral algebra” introduced in [2]. We also find evidence for the existence of “renormalized” recursions, replacing those that follow from the degeneracy of the field $$ {\Phi}_{12}^D $$ Φ 12 D in Liouville theory, and obtain the first few such recursions in closed form. This hints at the possibility of the full analytical determination of correlation functions in this model.

Sign in / Sign up

Export Citation Format

Share Document