Abstract
Scattered-light methods are presented for analysis of interlaminar matrix stresses between the fiber layers of composite models. These include data-smoothing techniques and a least-squares solution to utilize the excess information available. Applications are given to determine all stress components in the matrix of a two-layer model and to determine the interlaminar shear stress in the matrix of a four-layer model. The results indicate that matrix stress magnitudes are a function of proximity to the fibers and that they are significantly higher than composite stresses obtained using mathematical models.
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References
Pipes, R. B., Reed, D. L. and Ashton, J. E., “Experimental Determination of Interlaminar Shear Properties of Composite Materials,” SESA Paper 1985A, presented at SESA Spring Meeting, Cleveland, OH (May 23–26, 1972).
Pipes, R. B. andDalley, J. W., “On the Birefringent-coating Method of Analysis for Fiber-reinforced Laminated Composites,”Experimental Mechanics,12 (6),272–277 (1972).
Dalley, J. W. andAlfrevich, J., “Application of Birefringent Coatings to Glass-fiber-reinforced Plastics,”Experimental Mechanics,9 (3),97–102 (1969).
Daniel, I. M. and Rowlands, R. E., “Experimental Stress Analysis of Composite Materials,” ASME Paper 72-DE-6, presented at ASME Design Engineering Conference, Chicago (May 8–11, 1972).
Rowlands, R. E., Daniel, I. M. andWhiteside, J. B., “Stress and Failure Analysis of a Glass-Epoxy Composite with a Circular Hole,”Experimental Mechanics,13 (1),31–37 (1973).
Daniel, I. M., Rowlands, R. E. andPost, D., “Strain Analysis of Composites by Moiré Methods,”Experimental Mechanics,13 (6),246–252 (1973).
Pipes, R. B. andDaniel, I. M., “Moiré Analysis of the Interlaminar Shear Edge Effect in Laminated Composites,”J. of Composite Materials,5,255–259 (1971).
Tsai, S. W., “Structural Behavior of Composite Materials,” NASA CR-71 (July, 1964).
Armenakas, A. E. andSciammarella, C. A., “Experimental Investigation of the Failure Mechanism of Fiber-reinforced Composites Subjected to Uniaxial Tension,”Experimental Mechanics,13 (2),49–58 (1973).
Pih, H. andKnight, C. E., “Photoelastic Analysis of Anisotropic Fiber Reinforced Composites,”J. of Composite Materials,3,94–107 (1969).
Sampson, R. C., “A Stress-Optic Law for Photoelastic Analysis of Orthotropic Composites,”Experimental Mechanics,10 (5),210–215 (1970).
Dally, J. W. andPrabhakaran, R., “Photo-orthotropic-elasticity,”Experimental Mechanics,11 (8),346–356 (1971).
Tyson, W. R. andDavies, G. J., “A Photoelastic Study of the Shear Stresses Associated with the Transfer of Stress During Fibre Reinforcement,”British J. of Appl. Phys.,16,199–205 (1965).
Schuster, D. M. andScala, E., “The Mechanical Interaction of Sapphire Whiskers with a Birefringent Matrix,”Trans. Metall. Soc. AIME, 230, 1635–1645 (1964).
MacLaughlin, T. F., “Effect of Fiber Geometry on Stress in fiber-reinforced Composite Materials,”Experimental Mechanics,6 (10),481–492 (1966).
MacLaughlin, T. F., “A Photoelastic Analysis of Fiber Discontinuities in Composite Materials,”J. of Comp. Mat.,2,44–55 (1968).
Schuster, D. M. and Scala, E., “Mechanical Interactions in Fiber Reinforced Photoelastic Composites,” Proc. of a Conference on Fundamental Aspects of Fiber Reinforced Plastic Composites, Dayton, OH (May 24–26, 1967).
Pih, H. andSutliff, D. R., “Photoelastic Analyses of Reinforced Composites,”AFML-TR-68-380, Air Force Materials Laboratory, Wright-Patterson Air Force Base, OH (1968).
Marloff, R. H. andDaniel, I. M., “Three-dimensional Photoelastic Analysis of a Fiber-reinforced Model,”Experimental Mechanics,9 (4),156–162 (1969).
Jenkins, D. R., “Analysis of Behavior Near a Cylindrical Glass Inclusion by Scattered-light Photoelasticity,”Experimental Mechanics,8 (10),467–473 (1968).
Rollins, C. T., “Micromechanic Stresses in Photoelastic Composite Coupons,” Paper 2175A presented at 3rd Int. Conf. on Exp. Mech., Los Angeles, CA (May 13–18, 1973).
Sierakowski, R. L., Nevill, G. E., Jr., Ross, C. A. andJones, E. R., “Studies of the Dynamic Fracture Characteristics of Composites,”AFATL-TR-72-44, Air Force Armament Laboratory, Eglin Air Force Base, FL. (March, 1972).
Riley, V. R., “Fibre/Fibre Interaction,”J. of Comp. Mat.,2,436–446 (1968).
Mullin, J., Berry, J. M. andGatti, A., “Some Fundamental Fracture Mechanisms Applicable to Advanced Filament Reinforced Composites,”J. of Comp. Mat.,2,82–103 (1968).
Hussain, M. A., Pu, S. L. andSadowsky, M. A., “On the Detachments of Ends of Microfibers from the Matrix Due to Tension in the Composite,”J. of Comp. Mat.,2,414–427 (1968).
Greszcuk, L. B., “Theoretical and Experimental Studies on Properties and Behavior of Filamentary Composites,” Proc. 21st Annual Tech. Conf., SPI Reinforced Plastic Div., Soc. of the Plastics Ind., Inc., Sec. 8-A (Feb. 1966).
Frocht, M. M. and Srinath, L. A., “A Non-destructive Method for Three-Dimensional Photoelasticity,” Proc. 3rd U.S. Nat. Cong. of Appl. Mech., 329–337 (1958).
Sokolnikoff, I. S., Mathematical Theory of Elasticity, McGraw-Hill Book Company, Inc., New York, 42–44 (1956).
,40–42.
Frocht, M. M., Photoelasticity,1,John Wiley and Sons, Inc.,New York, NY. Ch. 8 (1941).
Frocht, M. M. and Guernsey, R., “A Special Investigation to Develop a General Method for Three-Dimensional Photoelastic Stress Analysis,” NACA Technical Note 2822 (December 1952).
Berghaus, D. G., “Overdetermined Photoelastic Solutions Using Least Squares,”Experimental Mechanics,13 (3),97–104 (1973).
Srinath, L. S. and Frocht, M. M., “Scattered-Light in Photoelasticity-Basic Equipment and Techniques,” Proc. 4th U.S. Nat. Cong. of Appl. Mech., 775–781 (1972).
McKinney, J. M. and Swinson, W. F., “Location of Maximum Secondary Principal Axis in Scattered-Light Photoelasticity,” Proc. 4th Southeastern Conf. for Theo. and Appl. Mech., Pergamon Press (1970).
Puppo, A. H. andEvenson, H. A., “Interlaminar Shear in Laminated Composites Under Generalized Plane Stress,”J. of Comp. Mat.,4,204–220 (1970).
Pipes, R. B. andPagano, N. J., “Interlaminar Stresses in Composite Laminates Under Uniform Tension,”J. of Comp. Mat.,4,538–548 (1970).
Isakson, G. andLevy, A., “Finite Element Analysis of Shear in Fibrous Composites,”J. of Comp. Mat.,5,273–276 (1971).
Rybiki, E. F., “Approximate Three-Dimensional Solutions for Symmetric Laminates Under In-plane Loading,”J. of Comp. Mat.,5,354–360 (1971).
Berghaus, D. G. andCannon, J. P., “Obtaining Derivatives from Experimental Data Using Smoothed-spline Functions,”Experimental Mechanics,13 (1),38–42 (1973).
Azzi, V. D. andTsai, A. W., “Elastic Moduli of Laminated Anisotropic Composites,”Experimental Mechanics,5 (6),177–185 (1965).
Aderholdt, R. W. and Berghaus, D. G., “Model Design and Fabrication for Stress Analysis in Multilaminar Composites,” to be published in Experimental Mechanics,
Sampson, R. C., “A Three-dimensional Photoelastic Method for Analysis of Differential-contraction Stresses,”Experimental Mechanics,3 (10),225–234 (1963).
Berghaus, D. G., Aderholdt, R. W., Buban, J. J. andWomack, D. R., “Instrumentation Improvements for Scattered-light Photoelasticity,”Experimental Mechanics,14 (12),505–506 (1974).
Berghaus, D. G. and Aderholdt, R. W., “A Scattered-light Photoelastic Analysis of Interlaminar Matrix Stresses in Fibrous Composite Models,” submitted to the National Science Foundation (Grant GK-27791).
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Berghaus, D.G., Aderholdt, R.W. Photoelastic analysis of interlaminar matrix stresses in fibrous composite models. Experimental Mechanics 15, 409–417 (1975). https://doi.org/10.1007/BF02410338
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DOI: https://doi.org/10.1007/BF02410338