A postprocessing scheme is developed to accurately determine transverse stresses in composite and sandwich panels undergoing geometrically nonlinear deformations. Transverse stresses are recovered at a point of interest via a one-dimensional, equilibrium-based least-square finite element method that utilizes the in-plane stresses and shear forces obtained by a finite element analysis. Numerical results demonstrate that, with minimal addition of computational efforts, the present postprocessing approach can be used to enhance the accuracy of transverse stresses.
Get full access to this article
View all access options for this article.
References
1.
1. Chen, W.H. and Huang, T.F. (1989). Three-dimensional Interlaminar Stress Analysis at Free Edges of Composite Laminates , Computers & Structures, 32(6): 1275-1286 .
2.
2. Kim, J.Y. and Hong, C.S. (1991). Three-dimensional Finite Element Analysis of Interlaminar Stresses in Thick Composite Laminates , Computers & Structures, 40(6): 1395-1404 .
3.
3. Wei, J. and Zhao, J.H. (1994). Three-dimensional Finite Element Analysis on Interlaminar Stresses of Symmetric Laminates , Computers & Structures, 41(4): 561-567 .
4.
4. Mao, K.M. and Sun, C.T. (1991). A Refined Global-Local Finite Element Analysis Method , Internat. J. Numer. Methods in Engrg., 32: 29-43 .
5.
5. Thomson, D.M. and Griffin, Jr. O.H. (1992). Verification of a 2-D to 3-D Global/Local Finite Element Method for Symmetric Laminates , J. Reinforced Plastics and Comp, 11(8): 910-931 .
6.
6. Robbins, D.H. and Reddy, J.N. (1993). Modeling of Thick Composites Using a Layer-Wise Theory , Internat. J. Numer. Methods in Engrg., 36: 655-677 .
7.
7. Zhou, X. and Chattopadhyay, A. (2001). An Improved Shear Deformation Theory for Laminated Shells Addressing Transverse Stress Continuity , 42nd AIAA/ASME/ASCE/AHS/ASC/SDM Conference, pp. 2002-1338 .
8.
8. Bose, P. and Reddy, J.N. (1998). Analysis of Composite Plates Using Various Plate Theories, Part 2: Finite Element Method and Numerical Results , Struct. Engrg. Mech. Int J., 6(6): 583-612 .
9.
9. Engblom, J.J. and Ochoa, O.O. (1985). Through-the-Thickness Stress Predictions for Laminated Plates of Advanced Composite Materials , Internat. J. Numer. Methods in Engrg., 21(10): 1759-1776 .
10.
10. Noor, A.K., Kim, Y.H. and Peters, J.M. (1994). Transverse Shear Stresses and their Sensitivity Coefficients in Multi-layered Composite Panels , AIAA J., 32(6): 1259-1269 .
11.
11. Park, J.W. and Kim, Y.H. (1999). Predictor-Corrector Procedure for Displacements, Stresses and Their Sensitivity Coefficients in Composite Panels , J. Composite Materials, 33(13): 1222-1243 .
12.
12. Zienkiewicz, O.C. and Zhu, J.Z. (1992). The Superconvergent Patch Recovery and a Posteriori Error Estimates. Part I: The Recovery Technique, Internat . J. Numer. Methods in Engrg., 33(7): 1331-1364 .
13.
13. Yuan, J., Saleeb, A. and Gendy, A. (2000). Stress Projection, Layerwise-Equivalent, Formulation for Accurate Predictions of Transverse Stresses in Laminated Plates and Shells , International J. Computational Engineering Science, 1(1): 91-138 .
14.
14. Kant, T. and Swaminathan, K. (2000). Estimation of Transvere/Interlaminar Stresses in Laminated Composites - a Selective Review and Survey of Current Developments , Composite Structures, 49(4): 65-75 .
15.
15. Park, B.C., Park, J.W. and Kim, Y.H. (2003). Stress Recovery in Laminated Composite and Sandwich Panels Undergoing Finite Rotation , Composite Structures, 59(2): 227-235 .
16.
16. Yeom, C. and Lee, S. (1989). An Assumed Strain Element Model for Large Deflection Composite Shells, Internat . J. Numer. Methods in Engrg., 28(8): 1749-1768 .
17.
17. Kim, Y.H. and Lee, S. (1988). A Solid Element Formulation for Large Deflection Analysis of Composite Shell Structures , Computers and Structures, 30: 269-274 .
