A PHOTOELASTIC ANALYSIS OF STRESS WAVE PROPAGATION IN A LAYERED MODEL

Geophysics ◽  
1966 ◽  
Vol 31 (5) ◽  
pp. 881-899 ◽  
Author(s):  
W. F. Riley ◽  
J. W. Dally

Dynamic photoelasticity was used to study some fundamental aspects of wave propagation in layered media and to obtain information on the dynamic state of stress associated with the various waves generated by a point source explosion. Columbia Resin CR‐39 and aluminum were used to obtain a model with an acoustical impedance‐mismatch between layers of 6 to 1. A Cranz‐Schardin multiple spark camera, operating at approximately 200,000 frames per second, was used to record the dynamic isochromatic fringe patterns associated with the propagating stress waves. Small charges of lead azide were used to explosively load the models. Six different wave types were clearly identified. In the region near the explosive detonation, the predominant waves were the incident [Formula: see text] wave and the reflected [Formula: see text] waves from the interface and the free boundary. In regions away from the explosive detonation the headwaves ([Formula: see text], [Formula: see text], and [Formula: see text]) dominate since their rate of attenuation is much lower than the rate associated with the incident dilatational or the reflected shear waves. The data obtained in the form of isochromatic fringe patterns were converted to individual values of the principal stresses in several instances. The methods developed for this separation are applicable whenever the dilatational or distortional waves occur alone. The separation method requires no auxiliary data other than the isochromatic fringe orders and yields dynamic displacement data in addition to the individual values of the principal stresses.

2020 ◽  
pp. 237-249
Author(s):  
L. V Stepanova

This study aims at obtaining coefficients of the multi-parameter Williams series expansion for the stress field in the vicinity of the central crack in the rectangular plate and in the semi-circular notched disk under bending by the use of the digital photoelasticity method. The higher-order terms in the Williams asymptotic expansion are retained. It allows us to give a more accurate estimation of the near-crack-tip stress, strain and displacement fields and extend the domain of validity for the Williams power series expansion. The program is specially developed for the interpretation and processing of experimental data from the phototelasticity experiments. By means of the developed tool, the fringe patterns that contain the whole field stress information in terms of the difference in principal stresses (isochromatics) are captured as a digital image, which is processed for quantitative evaluations. The developed tool allows us to find points that belong to isochromatic fringes with the minimal light intensity. The digital image processing with the aid of the developed tool is performed. The points determined with the adopted tool are used further for the calculations of the stress intensity factor, T-stresses and coefficients of higher-order terms in the Williams series expansion. The iterative procedure of the over-deterministic method is utilized to find the higher order terms of the Williams series expansion. The procedure is based on the consistent correction of the coefficients of the Williams series expansion. The first fifteen coefficients are obtained. The experimentally obtained coefficients are used for the reconstruction of the isochromatic fringe pattern in the vicinity of the crack tip. The comparison of the theoretically reconstructed and experimental isochromatic fringe patterns shows that the coefficients of the Williams series expansion have a good match.


1972 ◽  
Vol 39 (2) ◽  
pp. 606-607 ◽  
Author(s):  
J. H. Hemann ◽  
R. J. Becherer

The individual normal stresses in a two-dimensional plane-stress wave-propagation problem can be determined directly by using scattered light photoelasticity. The applicability of the method is shown by subjecting a rectangular plate to an explosive load.


Geophysics ◽  
1971 ◽  
Vol 36 (3) ◽  
pp. 517-532 ◽  
Author(s):  
I. M. Daniel ◽  
R. L. Marino

Dynamic photoelastic techniques were used to study the incident, reflected, and refracted waves in a layered model. The model, consisting of two birefringent layers with an impedance ratio of 2.2:1, was subjected to point source explosive loading in the high‐impedance medium. The isochromatic fringe patterns were photographed with a Cranz‐Schardin multiple spark camera operating at a rate of 200,000 frames per second. Propagation and attenuation characteristics of waves in both layers were studied.


1967 ◽  
Vol 34 (2) ◽  
pp. 405-410 ◽  
Author(s):  
J. W. Dally ◽  
W. F. Riley

An initial study of stress waves propagating in a half space due to a point load on the surface has been accomplished by employing dynamic three-dimensional photoelasticity. The central plane of the half-space model was isolated for investigation by employing an embedded polariscope. Auxiliary experiments show that the thin elements of the polariscope do not significantly distort the stress wave as it propagates across the joints of the model containing the elements. Photographs of the dynamic fringe patterns were recorded with a Cranz-Schardin multiple spark gap camera operating at 400,000 fps. Three different waves were identified from the fringe patterns; namely, the incident dilatational and distortional waves and the reflected shear wave known as the von Schmidt wave. The data obtained for the shear wave in the form of isochromatic fringe orders were converted to individual values of the principal stresses along the axis of symmetry in the model. The method developed for separation of the principal stresses is only applicable when the distortional wave occurs alone along the axis of symmetry.


Complacency potential is an important measure to avoid performance error, such as neglecting to detect a system failure. This study updates and expands upon Singh, Molloy, and Parasuraman’s 1993 Complacency-Potential Rating Scale (CPRS). We updated and expanded the CPRS questions to include technology commonly used today and how frequently the technology is used. The goal of our study was to update the scale, analyze for factor shifts and internal consistency, and to explore correlations between the individual values for each factor and the frequency of use questions. We hypothesized that the factors would not shift from the original and the revised CPRS’s four subscales. Our research found that the revised CPRS consisted of only three subscales with the following Cronbach’s Alpha values: Confidence: 0.599, Safety/Reliability: 0.534, and Trust: 0.201. Correlations between the subscales and the revised complacency-potential and the frequency of use questions are also discussed.


2010 ◽  
Vol 70 (12) ◽  
pp. 1669-1673 ◽  
Author(s):  
Yangwei Wang ◽  
Fuchi Wang ◽  
Xiaodong Yu ◽  
Zhuang Ma ◽  
Jubin Gao ◽  
...  

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