Investigation of fracture mechanisms in resin concrete using spatially multiplexed digital Fresnel holograms

A digital twin Mach-Zehnder holographic interferometer is presented and applied to the investigation of fracture mechanisms in resin concrete submitted to a three-point flexural loading. The double interferometric setup allows spatial multiplexing for a simultaneous double sensitivity measurement. The component determination is obtained from two different illumination directions giving two sensitivity vectors. The numerical reconstruction of the object is performed following the discrete Fresnel transform. We investigate the image formation by merging analogic and discrete Fourier calculations in a smooth reference plane wave scheme. We examine the complex relation between the original object and the reconstructed one and the object localization is derived. Experimental results are presented and exploited to obtain the evolution of the crack tip propagation during the test.

[1]  Y. Ohama,et al.  Recent progress in concrete-polymer composites , 1997 .

[2]  Stefan Jacobsen,et al.  Effect of cracking and healing on chloride transport in OPC concrete , 1996 .

[3]  M. Gross,et al.  Numerical heterodyne holography with two-dimensional photodetector arrays. , 2000, Optics letters.

[4]  Ichirou Yamaguchi,et al.  Phase-shifting color digital holography. , 2002, Optics letters.

[5]  A Finizio,et al.  Correct-image reconstruction in the presence of severe anamorphism by means of digital holography. , 2001, Optics letters.

[6]  Erick Ringot,et al.  Microcrack Study of Cement-Based Materials by Means of Image Analysis , 1994 .

[7]  E. Cuche,et al.  Digital holography for quantitative phase-contrast imaging. , 1999, Optics letters.

[8]  P. Picart,et al.  Twin-sensitivity measurement by spatial multiplexing of digitally recorded holograms. , 2003, Applied optics.

[9]  Pascal Picart,et al.  Time-averaged digital holography. , 2003, Optics letters.

[10]  D. Fowler Polymers in concrete: a vision for the 21st century , 1999 .

[11]  A. Bascoul,et al.  About the analysis of microcracking in concrete , 2001 .

[12]  E. Fuller,et al.  FLUORESCENT THIN SECTIONS TO OBSERVE THE FRACTURE ZONE IN MORTAR , 1984 .

[13]  I. Yamaguchi,et al.  Image formation in phase-shifting digital holography and applications to microscopy. , 2001, Applied optics.

[14]  J. Ollivier,et al.  A non destructive procedure to observe the microcracks of concrete by scanning electron microscopy , 1985 .

[15]  J. Berthelot,et al.  Statistical investigation of the fracture behaviour of inhomogeneous materials in tension and three-point bending , 2004 .

[16]  U. Schnars,et al.  Direct recording of holograms by a CCD target and numerical reconstruction. , 1994, Applied optics.

[17]  M. A. Kronrod,et al.  RECONSTRUCTION OF A HOLOGRAM WITH A COMPUTER , 1972 .

[18]  J. Marchand,et al.  Microscopic observation of cracks in concrete — A new sample preparation technique using dye impregnation , 1996 .

[19]  M. El-Hawary,et al.  FLEXURAL BEHAVIOR OF POLYMER CONCRETE , 1999 .

[20]  Werner P. O. Jueptner,et al.  Methods of digital holography: a comparison , 1997, Other Conferences.

[21]  H J Tiziani,et al.  Simultaneous quantitative evaluation of in-plane and out-of-plane deformations by use of a multidirectional spatial carrier. , 1997, Applied optics.