Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 145629, 11 pages
http://dx.doi.org/10.1155/2015/145629
Research Article

3D Gradual Material Degradation Model for Progressive Damage Analyses of Unidirectional Composite Materials

1School of Astronautics, Beihang University, Beijing 100191, China
2Institute of Solid Mechanics, Beihang University, Beijing 100191, China

Received 15 September 2014; Accepted 1 December 2014

Academic Editor: Chenfeng Li

Copyright © 2015 Libin Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. MIL-HDBK-17-3F, Military Handbook, Polymer Matrix Composites, US Department of Defense, 2002.
  2. P. Maimí, P. P. Camanho, J. A. Mayugo, and C. G. Dávila, “A continuum damage model for composite laminates: part I—constitutive model,” Mechanics of Materials, vol. 39, no. 10, pp. 897–908, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. L. J. Hart-Smith, Bolted Joints in Graphite-Epoxy Composites, Douglas Aircraft Company, Long Beach, Calif, USA, 1976.
  4. F. R. Liu, L. B. Zhao, S. Mehmood, J. Y. Zhang, and B. J. A. Fei, “A modified failure envelope method for failure prediction of multi-bolt composite joints,” Composites Science and Technology, vol. 83, pp. 54–63, 2013. View at Publisher · View at Google Scholar · View at Scopus
  5. J. M. Whitney and R. J. Nuismer, “Stress fracture criteria for laminated composites containing stress concentrations,” Journal of Composite Materials, vol. 8, pp. 253–265, 1974. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Y. Zhang, F. R. Liu, L. B. Zhao, and B. J. Fei, “A novel characteristic curve for failure prediction of multi-bolt composite joints,” Composite Structures, vol. 108, no. 1, pp. 129–136, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. T. L. Qin, L. B. Zhao, and J. Y. Zhang, “Fastener effects on mechanical behaviors of double-lap composite joints,” Composite Structures, vol. 100, pp. 413–423, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. S. C. Tan, “Progressive failure model for composite laminates containing openings,” Journal of Composite Materials, vol. 25, no. 5, pp. 556–577, 1991. View at Google Scholar · View at Scopus
  9. C. Hühne, A.-K. Zerbst, G. Kuhlmann, C. Steenbock, and R. Rolfes, “Progressive damage analysis of composite bolted joints with liquid shim layers using constant and continuous degradation models,” Composite Structures, vol. 92, no. 2, pp. 189–200, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. P. P. Camanho and F. L. Matthews, “A progressive damage model for mechanically fastened joints in composite laminates,” Journal of Composite Materials, vol. 33, no. 24, pp. 2248–2280, 1999. View at Publisher · View at Google Scholar · View at Scopus
  11. M. R. Garnich and V. M. K. Akula, “Review of degradation models for progressive failure analysis of fiber reinforced polymer composites,” Applied Mechanics Reviews, vol. 62, no. 1, pp. 1–33, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. J. P. Waszczak and T. A. Cruse, “Failure mode and strength predictions of anisotropic bolt bearing specimens,” Journal of Composite Materials, vol. 5, no. 3, pp. 421–425, 1971. View at Publisher · View at Google Scholar
  13. M. Di Sciuva, U. Icardi, and M. Villani, “Failure analysis of composite laminates under large deflection,” Composite Structures, vol. 40, no. 3-4, pp. 239–255, 1997. View at Publisher · View at Google Scholar · View at Scopus
  14. P. Paul and C. Ray, “Progressive failure analysis of laminated composite plates by finite element method,” Journal of Reinforced Plastics and Composites, vol. 21, no. 16, pp. 1505–1513, 2002. View at Publisher · View at Google Scholar · View at Scopus
  15. B. G. Prusty, “Progressive failure analysis of laminated unstiffened and stiffened composite panels,” Journal of Reinforced Plastics and Composites, vol. 24, no. 6, pp. 633–642, 2005. View at Publisher · View at Google Scholar · View at Scopus
  16. S. P. Engelstad, J. N. Reddy, and N. F. J. Knight, “Postbuckling response and failure prediction of graphite-epoxy plates loaded in compression,” AIAA Journal, vol. 30, no. 8, pp. 2016–2113, 1992. View at Google Scholar · View at Scopus
  17. Y. S. Reddy and J. N. Reddy, “Three-dimensional finite element progressive failure analysis of composite laminates under axial extension,” Journal of Composites Technology and Research, vol. 15, no. 2, pp. 73–87, 1993. View at Publisher · View at Google Scholar · View at Scopus
  18. W. C. Hwang and C. T. Sun, “Failure analysis of laminated composites by using iterative three-dimensional finite element method,” Computers and Structures, vol. 33, no. 1, pp. 41–47, 1989. View at Publisher · View at Google Scholar · View at Scopus
  19. Y.-J. Lee and W.-H. Cheng, “Failure process and bolted joint strength of composite laminates,” Journal of the Chinese Society of Mechanical Engineers, vol. 9, no. 3, pp. 169–182, 1988. View at Google Scholar · View at Scopus
  20. F.-K. Chang and Z. Kutlu, “Strength and response of cylindrical composite shells subjected to out-of-plane loadings,” Journal of Composite Materials, vol. 23, no. 1, pp. 11–31, 1989. View at Publisher · View at Google Scholar · View at Scopus
  21. F.-K. Chang and Z. Kutlu, “Study on the crushing response of cylindrical composite shells subjected to transverse loading,” Journal of Composites Technology and Research, vol. 12, no. 4, pp. 239–244, 1990. View at Publisher · View at Google Scholar · View at Scopus
  22. I. Shahid and F. Chang, Modeling of Failure and Response to Laminated Composites Subjected to in-Plane Loads, Stanford University, Palo Alto, Calif, USA, 1994.
  23. I. Shahid and F.-K. Chang, “An accumulative damage model for tensile and shear failures of laminated composite plates,” Journal of Composite Materials, vol. 29, no. 7, pp. 926–981, 1995. View at Publisher · View at Google Scholar
  24. I. Shahid, H.-T. Sun, and F.-K. Chang, “Predicting scaling effect on the notched strength of prepreg and fiber tow-placed laminated composites,” Journal of Composite Materials, vol. 29, no. 8, pp. 1063–1095, 1995. View at Publisher · View at Google Scholar · View at Scopus
  25. H.-T. Sun, F.-K. Chang, and X. Qing, “The response of composite joints with bolt-clamping loads, Part I: model development,” Journal of Composite Materials, vol. 36, no. 1, pp. 47–67, 2002. View at Publisher · View at Google Scholar · View at Scopus
  26. H.-T. Sun, F.-K. Chang, and X. Qing, “The response of composite joints with bolt-clamping loads, Part II: model verification,” Journal of Composite Materials, vol. 36, no. 1, pp. 69–92, 2002. View at Publisher · View at Google Scholar · View at Scopus
  27. X. Qing, H. T. Sun, L. Dagba et al., Damage-Tolerance-Based Design of Bolted Composite Joints, American Society for Testing and Materials, West Conshohocken, Pa, USA, 2000.
  28. J. W. Lee and I. M. Daniel, “Progressive transverse cracking of cross ply composite laminates,” Journal of Composite Materials, vol. 24, no. 11, pp. 1225–1243, 1990. View at Google Scholar
  29. Y. W. Kim and C. S. Hong, “Progressive failure model for the analysis of laminated composites based on finite element approach,” Journal of Reinforced Plastics and Composites, vol. 11, no. 10, pp. 1078–1092, 1992. View at Publisher · View at Google Scholar · View at Scopus
  30. S. G. Lim and C. S. Hong, “Prediction of transverse cracking and stiffness reduction in cross-ply laminated composites,” Journal of Composite Materials, vol. 23, no. 7, pp. 695–713, 1989. View at Google Scholar
  31. W.-P. Lin and H.-T. Hu, “Nonlinear analysis of fiber-reinforced composite laminates subjected to uniaxial tensile load,” Journal of Composite Materials, vol. 36, no. 12, pp. 1429–1450, 2002. View at Publisher · View at Google Scholar · View at Scopus
  32. W.-P. Lin and H.-T. Hu, “Parametric study on the failure of fiber-reinforced composite laminates under biaxial tensile load,” Journal of Composite Materials, vol. 36, no. 12, pp. 1481–1503, 2002. View at Publisher · View at Google Scholar · View at Scopus
  33. T.-K. Hwang, C.-S. Hong, and C.-G. Kim, “Probabilistic deformation and strength prediction for a filament wound pressure vessel,” Composites Part B: Engineering, vol. 34, no. 5, pp. 481–497, 2003. View at Publisher · View at Google Scholar · View at Scopus
  34. M. J. Hinton and A. S. Kaddour, “The background to the second world-wide failure exercise,” Journal of Composite Materials, vol. 46, no. 19-20, pp. 2283–2294, 2012. View at Publisher · View at Google Scholar · View at Scopus
  35. L. Raimondo, L. Iannucci, P. Robinson, and P. T. Curtis, “A progressive failure model for mesh-size-independent FE analysis of composite laminates subject to low-velocity impact damage,” Composites Science and Technology, vol. 72, no. 5, pp. 624–632, 2012. View at Publisher · View at Google Scholar · View at Scopus
  36. S. T. Pinho, L. Iannucci, and P. Robinson, “Physically based failure models and criteria for laminated fibre-reinforced composites with emphasis on fibre kinking. Part II. FE implementation,” Composites Part A: Applied Science and Manufacturing, vol. 37, no. 5, pp. 766–777, 2006. View at Publisher · View at Google Scholar · View at Scopus
  37. L. Zhao, T. Qin, J. Zhang, and R. A. Shenoi, “Modified maximum stress failure criterion for composite π joints,” Journal of Composite Materials, vol. 47, no. 23, pp. 2995–3008, 2013. View at Publisher · View at Google Scholar · View at Scopus
  38. I. M. Daniel and O. Ishai, Engineering Mechanics of Composite Materials, Oxford University Press, Oxford, UK, 1994.
  39. N. A. Fleck and D. Liu, “Microbuckle initiation from a patch of large amplitude fibre waviness in a composite under compression and bending,” European Journal of Mechanics—A/Solids, vol. 20, no. 1, pp. 23–37, 2001. View at Publisher · View at Google Scholar · View at Scopus
  40. C. R. Schultheisz and A. M. Waas, “Compressive failure of composites. Part I. Testing and micromechanical theories,” Progress in Aerospace Sciences, vol. 32, no. 1, pp. 1–42, 1996. View at Publisher · View at Google Scholar · View at Scopus
  41. A. Puck and H. Schürmann, “Failure analysis of FRP laminates by means of physically based phenomenological models,” Composites Science and Technology, vol. 58, no. 7, pp. 1045–1067, 1998. View at Publisher · View at Google Scholar · View at Scopus
  42. A. Puck and H. Schürmann, “Failure analysis of FRP laminates by means of physically based phenomenological models,” Composites Science and Technology, vol. 62, no. 12-13, pp. 1633–1662, 2002. View at Publisher · View at Google Scholar · View at Scopus
  43. P. D. Soden, M. J. Hinton, and A. S. Kaddour, “A comparison of the predictive capabilities of current failure theories for composite laminates,” Composites Science and Technology, vol. 58, no. 7, pp. 1225–1254, 1998. View at Publisher · View at Google Scholar · View at Scopus
  44. L. B. Zhao, T. L. Qin, Y. L. Chen, and J. Y. Zhang, “Three-dimensional progressive damage models for cohesively bonded composite π joint,” Journal of Composite Materials, vol. 48, no. 6, pp. 707–721, 2014. View at Publisher · View at Google Scholar · View at Scopus
  45. L. B. Zhao, Y. Gong, J. Y. Zhang, Y. L. Chen, and B. J. Fei, “Simulation of delamination growth in multidirectional laminates under mode I and mixed mode I/II loadings using cohesive elements,” Composite Structures, vol. 116, pp. 509–522, 2014. View at Publisher · View at Google Scholar
  46. L. B. Zhao, Y. Gong, T. L. Qin, S. Mehmood, and J. Y. Zhang, “Failure prediction of out-of-plane woven composite joints using cohesive element,” Composite Structures, vol. 106, pp. 407–416, 2013. View at Publisher · View at Google Scholar · View at Scopus
  47. Z. P. Bažant and B. H. Oh, “Crack band theory for fracture of concrete,” Materials and Structures, vol. 16, no. 3, pp. 155–177, 1983. View at Publisher · View at Google Scholar · View at Scopus
  48. S. T. Pinho, P. Robinson, and L. Iannucci, “Fracture toughness of the tensile and compressive fibre failure modes in laminated composites,” Composites Science and Technology, vol. 66, no. 13, pp. 2069–2079, 2006. View at Publisher · View at Google Scholar · View at Scopus
  49. H.-J. Park, “Effects of stacking sequence and clamping force on the bearing strengths of mechanically fastened joints in composite laminates,” Composite Structures, vol. 53, no. 2, pp. 213–221, 2001. View at Publisher · View at Google Scholar · View at Scopus
  50. J. H. Oh, Y. G. Kim, and D. G. Lee, “Optimum bolted joints for hybrid composite materials,” Composite Structures, vol. 38, no. 1–4, pp. 329–347, 1997. View at Publisher · View at Google Scholar · View at Scopus
  51. R. M. Christensen, “Tensor transformation and failure criteria for analysis of fiber composite materials,” Journal of Composite Materials, vol. 22, no. 9, pp. 874–897, 1988. View at Publisher · View at Google Scholar