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Abstract

In this article, a new method for calculating the calibration factors for measuring the residual stresses in different material systems is presented. The simulated hole drilling method can be used instead of experimental techniques. In this method the process of hole drilling, using a finite element method, is simulated. The drilling location is simulated by a finite element technique and after applying the initial load in the form of residual stresses, the elements in the hole area are deleted from the model. Then, the strain around the hole area under the strain gages are calculated. The two- and three-dimensional simulations of the hole drilling method for isotropic materials are presented. The calibration factors are calculated and compared with those available in the standards. The results show a difference of about 0.3% between the two methods. For orthotropic materials, the calibration coefficient matrix is obtained using the method presented in this study and the results are compared with theoretical values. The presented method is utilized for laminated composite materials and the calibration coefficient matrix is obtained. Different laminated composites with various lay-ups and materials are considered. Using the simulated hole drilling method and calculating the residual strains around the hole area and calculating the calibration coefficient matrix, the residual stresses due to curing process are calculated. The main advantage of the presented method is the capability to simulate the residual stresses in orthotropic materials with any degree of orthotropy. This method is able to simulate the behavior of different strain gages with different sizes and hole diameters. Simulation of the residual stresses for components and parts with complicated geometry is an application of this method.

Keywords

calibration factor hole drilling method simulation composite materials finite element method residual stresses orthotropic material

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References

ASTM Designation: E837-01 (1999). Standard Test Method for Determining Residual Stresses by the Hole-Drilling Strain Gage Method, American Society for Testing and Materials.

Mathar, J. (1934). Determination of Initial Stresses by Measuring the Deformation Around Drilled Holes, Transactions of ASME56, No. 4, pp. 249-254.

Rendler, N. J. and Vigness, I. (1966). Hole-Drilling Strain-Gage Method of Measuring Residual Stresses, Experimental Mechanics, 6(12): 577-586.

Ersoy, N. and Vardar, O. (2000). Measurement of Residual Stresses in Layered Composites by Compliance Method, Journal of Composite Materials, 34(7): 575-598.

Gascoigne, H. E. (1994). Residual Surface Stresses in Laminated Cross-Ply Fiber-Epoxy Composite Materials, Experimental Mechanics, 34(1): 27-36.

Tsai, S. W. (1988). Composites Design, 4th edn, Think Composites, Dayton, USA.

Novac, R. C. and Decrescente, M. A. (1970). Fabrication Stresses in Graphite Resin Composites, Journal of Engineering for Power, 92(4): 377-377.

Hahn, H. T. and Pagano, N. J. (1975). Curing Stresses in Composite Laminates, Journal of Composite Materials, 9(January): 91-106.

Hahn, H. T. (1976). Residual Stresses in Polymer Matrix Composite Laminates, Journal of Composite Materials, 10 (October): 266-278.

10.

Pagano, N. J. and Hahn, H. T. (1977). Evaluation of Composite Curing Stresses, In: Composite Materials: Testing and Design (Fourth Conference), ASTM STP 617, pp. 317-329.

11.

Crasto, A. S. and Kim, R. Y. (1993). On the Determination of Residual Stresses in Fiber-Reinforced Thermoset Composites, Journal of Reinforced Plastics & Composites, 12(5), 545-558.

12.

Weitsman, Y. (1979). Residual Thermal Stresses due to Cool-Down of Epoxy-Resin Composites, Journal of Applied Mechanics, 46(3): 563-567.

13.

Harper, B. D. and Weitsman, Y. (1981). Residual Thermal Stresses in an Unsymmetrical Cross-Ply Graphite/Epoxy Laminate, In: Proceedings of AIAA/ASME/ASCE/AHS 22nd Structures, Structural Dynamics and Materials Conference, Atlanta, GA, April 6-8, pp. 325-332.

14.

Michaud, D. J. , Beris, A. N. and Dhurjati, P. S. (1998). Curing Behavior of Thick-Sectioned RTM Composites, Journal of Composite Materials, 32(14): 1273-1295.

15.

Svanberg, J. M. and Holmberg, J. A. (2004). Prediction of Shape Distortions Part I. FE-implementation of a Path Depending Constitutive Model, Composites Part A, 35(6): 711-721.

16.

Ruiz, E. and Trochu, F. (2005). Numerical Analysis of Cure Temperature and Internal Stresses in Thin and Thick RTM Parts, Composites Part A, 36(6): 806-826.

17.

Kim, K. S. and Hahn, H. T. (1989). Residual Stress Development during Processing of Graphite/Epoxy Composites, Composite Science and Technology, 36(2): 121-132.

18.

Hyer, M. W. (1981). Calculation of the Room-Temperature Shapes of Unsymmetric Laminates, Journal of Composite Materials, 15(July): 296-310.

19.

Hyer, M. W. (1989). Mechanics of Unsymmetric Laminates, Chapter 2, In: Herakovich, C. T. and Tarnopol’skii, Y. M. (eds), Handbook of Composites, Vol. 2 (Structures and Design), Elsevier Science Pub., pp. 85-114.

20.

Bogetti, T. A. and Gillespie, J. W. (1989). Process Induced Stress and Deformation in Thick Section Thermosettting Composite Laminates, 21st International SAMPE Technical Conference, September 25-28, pp. 947-995.

21.

Cowley, K. D. and Beaumont, W. R. (1997). The Measurement and Prediction of Residual Stresses in Carbon-Fiber/Polymer Composites, Composite Science and Technology, 57(11): 1445-1455.

22.

Fernlund, G. , Rahman, N. , Courdji, R. , Bresslauer, M. , Poursartip, A. , Willden, K. and Nelson, K. (2002). Experimental and Numerical Study of the Effect of Cure Cycle, Tool Surface, Geometry, and Lay-up on the Dimensional Fidelity of Autoclave-Processed Composite Parts, Composites Part A, 33(3): 341-351.

23.

Ren, L. and Majidi, A. P. (2003). Cured Shape of Cross-ply Composite Thin Shells, Journal of Composite Materials, 37(20): 1801-1820.

24.

Gigliotti, M. , Wisnom, M. and Potter, K. D. (2004). Loss of Bifurcation and Multiple Shapes of Thin [0/90] Unsymmetric Composite Plates Subject to Thermal Stress, Journal of Composite Science and Technology, 64: 109-128.

25.

Gigliotti, M. , Jacquemin, F. and Vautrin, A. (2005). On the Maximum Curvatures of 0/90 Plates under Thermal Stress, Journal of Composite Structures, 68: 177-184.

26.

Bert, C. W. and Thompson, G. L. (1968). A Method for Measuring Planar Residual Stresses in Rectangularly Orthotropic Materials, Journal of Composite Materials, 2(2): 244-253.

27.

Part II: Experimental Evaluations, 8(3): 165-172.

28.

Lake, B. R. , Appl, F. J. and Bert, C. W. (1970). An Investigation of the Hole-Drilling Technique for Measuring Planar Residual Stress in Rectangularly Orthotropic Materials, Experimental Mechanics, 10(10): 233-239.

29.

Schajer, G. S. and Yang, L. (1994). Residual-Stress Measurement in Orthotropic Materials Using the Hole-Drilling Method, Experimental Mechanics, 34(4): 324-333.

30.

Gong, X. Lu , Cherouat, A. , Gong, X. J. and Lu, J. (1999). Residual Stress Distribution and its Influence on the Mechanical Behavior of Composite Laminates, International Conference of Composite Materials (ICCM), Paris.

31.

Montay, G. , Cherouat, A. , Lu, J. , Baradel, N. and Bianchi, L. (2002). Development of the High-Precision Incremental-Step Hole-Drilling Method for the Study of Residual Stresses in Multi-Layer Materials: Influence of Temperature and Substrate on ZrO2-Y2O3 8 wt% Coatings, Surface and Coatings Technology, 155(2-3): 152-160.

32.

Sicot, O. , Gong. X. L. , Cherouat, A. and Lu, J. (2003). Determination of Residual Stress in Composite Laminates Using the Incremental Hole-Drilling Method, Composite Materials, 37(9): 831-843.

33.

Shokrieh, M. M. and Kamali, S. M. (2005). Theoretical and Experimental Studies on Residual Stresses in Laminated Polymer Composites, Journal of Composite Materials, 39(24): 2212-2225.

34.

ANSYS Help System, Analysis Guide and Theory Reference, Ver. 8.

35.

Schajer, G. S. (1988). Measurement of Non-Uniform Residual Stresses Using the Hole-Drilling Method. Part I - Stress Calculation Procedures, Journal of Engineering Materials and Technology, 110(4): 338-343.

Simulation of Central Hole Drilling Process for Measurement of Residual Stresses in Isotropic,Orthotropic,and Laminated Composite Plates

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