Abstract
Moiré principles and procedures were surveyed with a view toward adaptation to measurement of complex strain distribution in solid propellants. Compliant coating and photosensitive materials were selected for grid reproduction. The most flexible of the several possible procedures for recording moiré data was found to be grid photography. A novel “grid-shift” technique employing coarse grids was developed for point-by-point determination of surface displacement derivatives, and the grid-shift relations for large strain and large rotation were derived. The technique is extremely versatile, permitting the analysis of strain of dynamically deformed specimens in nonambient environmental conditions of temperature, pressure or atmosphere. The utility of the technique was demonstrated by application to static and dynamic problems.
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Abbreviations
- d :
-
image distance, in
- D :
-
object distance, in
- f :
-
focal length, in
- m :
-
image-magnification ratio
- n :
-
fringe (isothetic) order
- p :
-
reference-grating pitch, in
- p′ :
-
model-grating pitch, in
- u :
-
displacement inx-direction, in
- v :
-
displacement iny-direction, in
- x, y :
-
rectangular coordinates, in
- β:
-
model-grid shift, multiples of reference pitch
- δ:
-
distance between fringes, in
- ∈:
-
strain, in./in.
- λ:
-
fringe shift, multiples of reference pitch
- σ:
-
standard deviation
- θ:
-
rotation of model grating, rad
- ϕ:
-
fringe-inclination parameter, rad
- ω:
-
rigid rotation of grid element, rad
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Sampson, R.C., Campbell, D.M. The grid-shift technique for moiré analysis of strain in solid propellants. Experimental Mechanics 7, 449–457 (1967). https://doi.org/10.1007/BF02326259
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DOI: https://doi.org/10.1007/BF02326259