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Experimental Mechanics
Published in: Experimental Mechanics 8/2017

06-06-2017

A Novel Phase Shifting Technique of Coherent Gradient Sensing Method for Measuring Crack-tip K-Dominance

Authors: K. Ma, H. Xie

Published in: Experimental Mechanics | Issue 8/2017

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Abstract

A novel phase shifting method for coherent gradient sensing (CGS) is proposed to automate fringe processing. The phase shifting of CGS interferograms can be simply realized by placing three plane-parallel plates sequentially between the two gratings in the traditional CGS method. The phase shifting method is deduced theoretically and the full-field wrapped phase value can be calculated accurately from four or more interferograms. A calibration test that determines the elasto-optic constant for a polymethyl methacrylate (PMMA) sheet is implemented as a verification experiment. Results show the proposed phase shifting method is valid for transmission CGS measurement. As an application, the proposed phase-shifted CGS method is applied to measure the crack tip K-dominance in a PMMA sheet. In addition, the phase shifting method is shown to be valid for reflective CGS measurement.
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Literature
1.
Tippur HV, Krishnaswamy S, Rosakis AJ (1991) A coherent gradient sensor for crack tip measurements: analysis and experimental results. Int J Fract 48:193–204CrossRef
2.
Tippur HV (1992) Coherent gradient sensing: a Fourier optic analysis and applications to fracture. Appl Opt 31:4428–4438CrossRef
3.
Tippur HV, Krishnaswamy S, Rosakis AJ (1991) Optical mapping of crack tip deformations using the methods of transmission and reflection coherent gradient sensing: a study of crack tip K-dominance. Int J Fract 52:91–117
4.
Rosakis AJ, Krishnaswamy S, Tippur HV (1990) On the application of the optical method of caustics to elasto-dynamic crack problems: limitations of the classical interpretation. Opt Lasers Eng 13:183–210CrossRef
5.
Krishnaswamy S, Tippur HV, Rosakis AJ (1992) Measurement of transient crack tip deformation fields using the method of coherent gradient sensing. J Mech Phys Solids 40:339–372CrossRef
6.
Bruck HA, Rosakis AJ (1993) On the sensititivity of coherent gradient sensing. Part-II An experimental investigation of accuracy in fracture mechanics applications. Opt Lasers Eng 18:25–51CrossRef
7.
Rosakis AJ, Singh RP, Tsuji Y, Kolawa E, Moore NR Jr (1998) Full field measurements of curvature using coherent gradient sensing: application to thin film characterization. Thin Solid Films 325:42–54CrossRef
8.
Tippur HV (2004) Simultaneous and real-time measurement of slope and curvature fringes in thin structures using shearing interferometry. Opt Eng 43:3014–3020CrossRef
9.
Xu W (2011) K-dominance of static crack tip in functionally gradient materials. Fatigue Fract Eng M 34:329–336CrossRef
10.
Xu W, Yao XF, Yeh HY, Jin GC (2005) Fracture investigation of PMMA specimen using coherent gradient sensing (CGS) technology. Polym Test 24:900–908CrossRef
11.
Ramaswamy S, Tippur HV, Xu L (1993) Mixed-mode crack-tip deformations studied using a modified flexural specimen and coherent gradient sensing. Exp Mech 33:218–227CrossRef
12.
Tippur HV (2010) Coherent gradient sensing (CGS) method for fracture mechanics: a review. Fatigue Fract Eng Mater Struct 33:832–858CrossRef
13.
Mishra D, Wong SL, Longtin JP, Singh RP, Prasad V (2002) Development of a coherent gradient-sensing tomographic interferometer for three-dimensional refractive index-based measurements. Opt Commun 212:17–27CrossRef
14.
L. I. Muravsky, O. P. Ostash, A. B. Kmet’, T. I. Voronyak, I. M. Andreiko. (2011) Two-frame phase-shifting interferometry for retrieval of smooth surface and its displacements. Opt Laser Eng 50, 905–909.
15.
Kramer SLB, Ravichandran G, Bhattacharya K (2009) Transmission wavefront shearing interferometry for photoelastic materials. Appl Opt 48:2450–2460CrossRef
16.
Mello M, Hong S, Rosakis AJ (2009) Extension of the coherent gradient sensor (CGS) to the combined measurement of in-plane and out-of-plane displacement field gradients. Exp Mech 49:277–289CrossRef
17.
Kang M, Huimin X, Jianguo Z (2014) Two modified coherent gradient sensing methods for slope measurement of reflective surfaces. Meas Sci Technol 25:125202CrossRef
18.
Kang M, Huimin X, Bozhao F (2017) Phase-shifted reflective coherent gradient sensor for measuring Young’s modulus and Poisson’s ratio of polished alloys. Opt Laser Technol 88:226–233CrossRef
19.
Rosakis AJ, Ravi-Chandar K (1986) On the crack-tip stress state: an experimental evaluation of three-dimensional effects. Int J Solids Struct 22:121–134CrossRef
20.
Tippur HV, Xu LM (1997) Interfacial crack initiation under quasi-static and dynamic loading conditions: an experimental study. J Fatigue Fract Eng Mater Struct 20:49–60CrossRef
21.
Adachi M, Sunada S (2014) Phase-shift extraction from twice-normalized light intensity changes recorded with random phase shifts. Opt Rev 21:522–525CrossRef
22.
Ghiglia D, Romero L (1994) Robust two-dimensinal weighted and unweighted phase unwrapping that uses fast transforms and iterative methods. J Opt Soc Am A 11:107–117CrossRef
23.
Kaufmann G, Galizzi G, Ruiz P (1998) Evaluation of a preconditioned conjugategradient algorithm for weighted least-squares unwrapping of digital specklepattern interferometry phase maps. Appl Opt 37:3076–3084CrossRef
24.
Shanghai Institute of Organic Chemistry, Chinese Academy of Sciences (2013) Physical and mechanical properties of organic materials. Chemical Industry Press, China
25.
ASTM E399-12e3 Standard Test Method for Linear-Elastic Plane-Strain Fracture Toughness KIc of Metallic Materials (2012) ASTM International, West Conshohocken, doi: 10.​1520/​E0399
26.
Xinjian P, Yilan K (2000) Phase shift Moire interferometry and its applications. Mech Eng 22:37–39
Metadata
Title
A Novel Phase Shifting Technique of Coherent Gradient Sensing Method for Measuring Crack-tip K-Dominance
Authors
K. Ma
H. Xie
Publication date
06-06-2017
Publisher
Springer US
Published in
Experimental Mechanics / Issue 8/2017
Print ISSN: 0014-4851
Electronic ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-017-0293-z

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