By Karl-Hans Laermann (eds.)
The publication covers the theories and physics of complicated new optical measuring equipment and difficulties of experimental functionality, contemporary achievements within the easy interferometric equipment holography, speckle-interferometry, shearography in addition to linear/non-linear photoelasticity and photoviscoelasticity, Moiré- and grid-techniques. It offers with conception and alertness of electronic picture processing, tools of knowledge recording, facts processing and -visualisation, with mathematical/numerical approaches for ultimate assessment of digitised measured information and the primary of hybrid strategies. It introduces into the recent perceptions of tools in experimental stable mechanics and it's going to motivate scientists to deal intensively with the theories for extra advancements, and allows practitioners, to appreciate thought and physics of the hot achievements no less than and to use the equipment in learn als good as in advancements in practice.
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Additional resources for Optical Methods in Experimental Solid Mechanics
Example text
3 9E5 _ 9Eo . x1 - c1 (1-2v)z , gz = Cz 4. 33) the stress-optical coefficient is given to [ 3 Cz (1+vi • P i(1+4VE,) ~ p ... 20), this coefficient must be independent of the applied stress. And indeed this has been confirmed by respective experiments. 3. p [kN1 &0 Eo =4160 N/mm2; v = 0 32 c1 = 01 00367 mm2/N Cz = 0,00003 (mm2/N )2 S =28 N/mm+ord. 0,2 O,t. 3. Results of material testing. 5. Examples of application. To convey an impression on the effects of non-linear material response of photoelastic model material and on the results of the evaluation of the experimental data two examples are presented.
1.. 11 b) at;o 1 f. = f: o + - 1+5-X· I +1 IJ I j 2! ax + • -f.. = t '1 '0 axj 1 ax/ ax} 2! 1la) by 1-oxil 1 1 3! ax} 3! 12) yields an approximate value of fi(M) and thus a rough approach of the 51 Hybrid Techniques in Experimental Solid Mechanics correlation functi~n G(Mr,M) only. 3). 15) 52 K-H. Laermann m= 1 1 2 1- 2lJ. 15) Transformation of the components ui into the reference co-ordinate system (xi) and taking the weighted mean over a sufficient number of these values of a triple, which can be regarded as a numerical integration in the R3 -space, yields the final values of the components of the displacement vector ui(M) with satisfactory accuracy.
1. Determination of the surface displacements. g. holographic interferometry and speckleinterferometry combined with digital image processing enable the determination of the spatial displacements on the surface of threedimensional solids. Based on the boundary-integral method a reduction procedure will be derived to calculate the displacements and subsequently the strain· and stress-state in arbitrary points inside of three-dimensional simply-connected solids proceeding from the measured boundary values.