Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Prediction of the Onset of Failures in Composite Laminated Plates with Uncertain Material Properties

불확실한 물성치를 갖는 복합재료 적층 평판의 파괴 예측

  • Published : 2000.01.01
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Abstract

Because of their superior mechanical properties to isotropic materials, composite laminated plates are used for many structural applications that require high stiffness-to-weight and strength-to-weight ratios. Composite materials are always subject to a certain amount of scatter in their elastic moduli, but most analyses and designs with the materials are usually conducted by assuming that the material properties are fixed and have no uncertainties. In this paper, a convex modeling approach is introduced to take account of such uncertainties in elastic moduli. It is used with the finite element method to predict the onset of failures in composite laminated plates subject to in-plane loading. Numerical results show that failures begin at the smaller load when the uncertainties of elastic moduli considered and therefore, such uncertainties should be considered at the design stage for the safety and reliability of the structures.

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References

  1. Ben-Haim, Y. and Elishakoff, I., 1990, Convex Models of Uncertainty in Applied Mechanics, Elsevier, Amsterdam
  2. Givoli, D. and Elishakoff, I., 1992, 'Stress Concentration at a Nearly Circular Hole with Uncertain Irregularities,' J. Appl. Mech., Vol. 59, pp. 65-71
  3. Elishakoff, I. and Colombi, P., 1993, 'Combination of Probabilistic and Convex Models of Uncertainty When Scarce Knowledge Is Present an Acoustic Excitation Parameters,' Comput. Methods Appl. Mech. Engng, Vol. 104, pp. 187-209 https://doi.org/10.1016/0045-7825(93)90197-6
  4. Ben-Haim, 1993, 'Failure of an Axially Compressed Beam with Uncertain Initial Deflection of Bounded Strain Energy,]' Ini. J. Engng. Sci., Vol. 31, pp. 989-1001 https://doi.org/10.1016/0020-7225(93)90107-6
  5. Elishakoff, J. and Starnes, J. H., 1994, ' A Deterministic Method to predict the Effects of Unknown-but-Bounded Elastic Moduli on the Buckling of Composite Structures,' Comput. Methods Appl. Mech. Engng., Vol. 111, pp. 155-167 https://doi.org/10.1016/0045-7825(94)90043-4
  6. Pipes, R. B. and Pagano, N. J., 1970, 'lnterlaminar Stresses in Composite Laminates Under Uniform Axial Extension,' J. Comp. Mater., Vol. 4, pp. 538-548 https://doi.org/10.1177/002199837000400409
  7. Wang, A. S. D. and Crossman, F. W., 1977, 'Some New Results on Edge Effects in Symmetric Composite Laminates,' J. Comp. Mater., Vol. 11, pp. 92-106 https://doi.org/10.1177/002199837701100110
  8. Wang, S. S. and Choi, I., 1982, 'BoundaryLayer Effects in Composite Laminates: Part 1. Free-Edge Stresses Singularities,' J. Appl. Mech., Vol. 49, pp. 541-560
  9. Wang, S. S. and Yuan, F. G., 1983, 'A Singular Hybrid Finite Element of Boundary-Layer Stresses in Composite Laminates,' Ini. J. Solids Structures, Vol. 9, pp. 825-837
  10. Lin, C. F. and Jou, H. S., 1993, 'A New Finite Element Formulation for lnterlaminar Stress Analysis,' Comput. Struct., Vol. 48, pp. 135-139 https://doi.org/10.1016/0045-7949(93)90464-O