Abstract
This paper deals with the direct identification of the in-plane elastic properties of orthotropic composite plates from heterogeneous strain fields. The shape of the tested specimen is that of a T subjected to a complex stress state. As a result, the entire set of unknown parameters is directly involved in the strain and displacement responses of the sample. No exact analytical solution is available for such a geometry, and a specific strategy is used to identify the different stiffness components from the whole-field displacements measured over the tested specimen with a suitable optical method. The paper focuses mainly on the experimental aspects of the procedure, and an example of mechanical characterization of a fabric-reinforced composite plate is given.
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Pindera, M.-J. andHerakovich, C.T., “Shear Characterization of Unidirectional Composite with the Off-axis Tension Test,” EXPERIMENTAL MECHANICS,26,103–112 (1986).
Pierron, F. andVautrin, A., “The 10 ° Off-axis Tensile Test: A Critical Approach,”Comp. Sci. Tech.,56,483–488 (1996).
Pierron, F., “Saint-Venant Effects in the losipescu Speciemen,”J. Comp. Mat.,32 (22),1986–2015 (1998).
Rouger, F., Khebibeche, M., and Le Govic, C., “Non Determined Tests as a Way to Identify Wood Elastic Parameters: The Finite Element Approach,” Proceedings of the Euromech Colloquium 269 Mechanical Identification of Composites, Elsevier, 82–90 (1990).
Hendricks, M.A.N., “Identification of the Mechanical Properties of Solid Materials,” Doctoral dissertation, Eindhoven University of Technology (1991).
Bezine, G. andShi, G., “A New Method for the Determination of the Flexural Rigidity of an Orthotropic Plate,”Eng. Anal. Bound. Elements,10,307–312 (1992).
Furgiuele, F.M., Muzzupappa, M., andPagnotta, L., “A Full-field Procedure for Evaluating the Elastic Properties of Advanced Ceramics,” EXPERIMENTAL MECHANICS,37,285–291 (1997).
Grédiac, M., “On the Direct Determination of Invariant Parameters Governing the Bending of Anisotropic Plates,”Int. J. Solids Struct. 33 (27),3969–3982 (1996).
Grédiac, M., Fournier, N., Paris, P.-A. and Surrel, Y., “Direct Measurement of Invariant Parameters of Composite Plates,” J. Comp. Mat. (1999).
Sol, H., “Identification of Anisotropic Plate Rigidities Using Free Vibration Data,” Doctoral dissertation, University of Brussels (1986).
Moussu, F. andNivoit, M., “Determination of Elastic Constants of Orthotropic Constants Plates by Modal Analysis/Method of Superposition,”J. Sound Vibration,165,149–163 (1993).
Motta Soares, C.M., Freitas, J.M., Araujo, A.L., andPedersen, P., “Identification of Material Properties of Composite Plate Specimens,”Comp. Struct.,25,277–285 (1993).
Ayorinde, E.O. andGibson, R.F., “Elastic Constants of Orthotropic Composite Materials Using Plate Resonance Frequencies, Classical Lamination Theory and an Optimized Three-mode Rayleigh Formulation,”Comp. Eng.,3 (5),395–407 (1993).
Lai, T.C. andIp, K.H., “Parameter Estimation of Orthotropic Plates by Bayesian Sensitivity Analysis,”Comp. Struct.,34,29–42 (1996).
Sol, H., Hua, H., De Visscher, J., Vatomme, J., andDe Wilde, W.P., “A Mixed Numerical/Experimental Technique for the Nondestructive Identification of the Stiffness Properties of Fibre Reinforced Composite Materials,”NDT & E Int.,30, (2),85–91 (1997).
Grédiac, M. andVautrin, A., “A New Method for Determination of Bending Rigidities of Thin Anisotropic Plates,”J. Appl. Mech.,57,964–968 (1990).
Grédiac, M. andVautrin, A., “Mechanical Characterization of Anisotropic Plates: Experiments and Results,”Euro. J. Mech. Solids,12,819–838 (1993).
Grédiac, M. andParis, P.-A., “Direct Identification of Elastic Constants of Anisotropic Plates by Modal Analysis: Theoretical and Numerical Aspects,”J. Sound Vibration,195,401–415 (1996).
Grédiac, M., Fournier, N., Paris, P.-A., andSurrel, Y., “Direct Identification of Elastic Constants of Anisotropic Plates by Modal Analysis: Experimental Results,”J. Sound Vibration,210,645–659 (1998).
Grédiac, M. andPierron, F., “A T-shaped Specimen for the Direct Characterization of Orthotropic Materials,”Int. J. Num. Methods Eng.,41,293–309 (1998).
Tsai, S.W. andHahn, H.T., Introduction to Composite Materials, Technomic, Lancaster, PA (1980).
Roddier, F. and Roddier, C., “Imaging with a Multi-mirror Telescope,” ESO Conference on Optical Telescopes of the Future, ed. F. Pacini, W. Richter and R.N. Wilson, Geneva (1978).
Roddier, C. andRoddier, F., “Imaging with a Coherence Interferometer in Optical Astronomy,”IAU Colloquium 49 on Formation of Images from Spatial Coherence Functions in Astronomy, ed. C. van Schooneveld, Reidel, Norwell, MA (1978).
Takeda, M., Ina, H., andKobayashi, S., “Fourier-transform Method of Fringe-pattern Analysis for Computer-based Topography and Interferometry,”J. Opt. Soc. Am.,72,156–160 (1982).
Goldrein, H.T., Palmer, S.J.P., andHuntley, J.M., “Automated Fine Grid Technique for Measurement of Large-strain Deformation Map,”Opt. Lasers Eng.,23,305–318 (1995).
Womack, K.H., “Interferometric Phase Measurement Using Spatial Synchronous Detection,”Opt. Eng.,23,391–395 (1984).
Toyooka, S., andTominaga, M., “Spatial Fringe Scanning for Optical Phase Measurement,”Opt. Communications,51 (2),68–70 (1984).
Kujawińska, M. and Wójciak, J., “Spatial-carrier Phase-shifting Technique of Fringe Pattern Analysis,” Industrial Applications of Holographic and Speckle Measuring Techniques, ed. W. P. Jüptner,SPIE 1508 Bellingham, WA, 61–67 (1991).
Surrel, Y., “Design of Algorithms for Phase Measurements by the Use of Phase-stepping,”Appl. Opt.,35, (1),51–60 (1996).
Surrel, Y., “Additive Noise Effect in Digital Phase Detection,”Appl. Opt.,36 (1),271–276 (1997).
Pierron, F., Cerisier, F., and Grédiac, M., “A Numerical and Experimental Study of Woven Composite Pin-joints,” J. Comp. Mat. (forthcoming).
Cerisier, F., “Conception d'une structure travaillante en composite et étude de ses liaisons,”Ph.D. thesis, Université Jean Monnet de Saint-Etienne, France (1998).
Fournier, N., Grédiac, M., Paris, P.-A., and Surrel, Y., “Phasestepped Deflectometry Applied to Shape Measurement of Bent Plates,” Experimental Mechanics (1999).
Bulhak, J. and Surrel, Y., “Strain Field Measurements with High Spatial Resolution,” Holography Club of the French Society for Optics, Bordeaux, November 18–19 (1998).
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Grédiac, M., Pierron, F. & Surrel, Y. Novel procedure for complete in-plane composite characterization using a single T-shaped specimen. Experimental Mechanics 39, 142–149 (1999). https://doi.org/10.1007/BF02331118
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DOI: https://doi.org/10.1007/BF02331118