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Thermal Stresses in Anisotropic Multilayered Structures

  • Wan-Lee Yin

Abstract

Bimetal thermostats and multilayered beams and laminates are often subjected to severe interfacial stresses under mechanical and temperature loads. According to the predictions of the linear theory of elasticity, mismatches in the elastic properties of two adjacent layers generally result in a stress singularity at the intersection of their interface with a free edge.1–4 The intense but localized peeling and shearing action near the free edge may initiate interfacial fracture and may lead to failure of the component. Such adverse conditions can sometimes be avoided or rendered less harmful by rearranging the layers or by altering certain geometrical parameters. This requires, however, efficient and accurate analytical methods for determining the interlaminar stresses across all interfaces of a layered beam or laminate under various mechanical and thermal loads.

Keywords

Thermal Stress Stress Function Free Edge Temperature Load Laminate Beam 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Bogy, D. B., “Edge-bonded Dissimilar Orthogonal Elastic Wedges Under Normal and Shear Loading,” ASME J. Appl. Mech., 35, 1968, pp. 460–466.CrossRefGoogle Scholar
  2. 2.
    Bogy, D. B., “On the Problem of Edge-bonded Elastic Quarter-planes Loaded at the Boundary,” Int. J. Solids Struct., 6, 1970, pp. 1287–1313.CrossRefGoogle Scholar
  3. 3.
    Wang, S. S., and I. Choi, “Boundary-layer Effects in Composite Laminate—I. Free-edge Stress Singularities—II. Free-edge Stress Solutions and Basic Characteristics,” ASME J. Appl. Mech., 49, 1982, pp. 541–560.CrossRefGoogle Scholar
  4. 4.
    Zwiers, R. I., T. C. T. Ting, and R. L. Spilker, “On the Logarithmic Singularity of Free-edge Stress in Laminated Composites Under Uniform Extension,” ASME J. Appl. Mech., 49, 1982, pp. 561–569.CrossRefGoogle Scholar
  5. 5.
    Wang, A. S. D., and F. W. Crossman, “Edge Effects on Thermally Induced Stresses in Composite Laminates,” J. Composite Materials, 11, 1977, pp. 300–312.CrossRefGoogle Scholar
  6. 6.
    Stango, R. J., and S. S. Wang, “Process-induced Residual Thermal Stresses in Advanced Fiber-reinforced Composite Laminates,” ASME J. Engr. for Power, 106, 1984, pp. 48–54.Google Scholar
  7. 7.
    Cho, K. N., A. G. Striz, and C. W. Bert, “Thermal Stress Analysis of Laminate Using Higher-order Theory in Each Layer,” J. Thermal Stresses, 12, 1989, pp. 321–332.CrossRefGoogle Scholar
  8. 8.
    Glaser, J. C., “Thermal Stresses in Compliantly-Jointed Materials,” ASME Winter Annual Meeting, Paper No. 89-WA/EEP-14, San Francisco, CA, December 1989.Google Scholar
  9. 9.
    Kuo, A.-Y., and K.-L. Chen, “Thermal Stresses at the Edge of a Multi-layered Composite Strip,” Paper presented in ASME Winter Annual Meeting, December 1992, Atlanta, GA.Google Scholar
  10. 10.
    Hess, M. S., “The End Problem for a Laminated Elastic Strip—II. Differential Expansion Stresses,” J. Composite Materials, 3, 1969, pp. 630–641.CrossRefGoogle Scholar
  11. 11.
    Kuo, A.-Y., “Thermal Stresses at the Edge of a Bimetallic Thermostat,” ASME J. Appl. Mech., 56, 1989, pp. 585–589.CrossRefGoogle Scholar
  12. 12.
    Grimado, P. B., “Interlaminar Thermoelastic Stresses in Layered Beams,” J. Thermal Stresses, 1, 1978, pp. 75–86.CrossRefGoogle Scholar
  13. 13.
    Chen, W. T., and C. W. Nelson, “Thermal Stress in Bonded Joints,” IBM J. Res. Develop., 23, 1979, pp. 179–188.CrossRefGoogle Scholar
  14. 14.
    Suhir, E., Structural Analysis in Microelectronic and Fiber-Optic Systems, Van Nostrand Reinhold, New York, 1991.CrossRefGoogle Scholar
  15. 15.
    Chen, D., S. Cheng, and T. D. Gerhardt, “Thermal Stresses in Laminated Beams,” J. Thermal Stresses, 5, 1982, pp. 67–84.CrossRefGoogle Scholar
  16. 16.
    Yin, W.-L., “Free-edge Effects in Laminates Under Extension, Bending and Twisting, Part I: A Stress Function Approach,” Proc. AIAA/ASME/ASCE/AHS/ ASC 32nd Structures, Structural Dynamics and Materials Conference, April, 1991, Baltimore, MD, pp. 985–995.Google Scholar
  17. 17.
    Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, San Francisco, 1963.Google Scholar
  18. 18.
    Jones, R. M., Mechanics of Composite Materials, McGraw-Hill, New York, 1975.Google Scholar
  19. 19.
    MACSYMA Refernce Manual, Version 13. Symbolics, Inc., Burlington, MA, 1988.Google Scholar
  20. 20.
    Wolfram, S., Mathematica: A System for Doing Mathematics by Computer, 2d edn. Addison-Wesley, Redwood City, CA, 1990.Google Scholar
  21. 21.
    Yin, W.-L., “Refined Variational Solutions of the Interfacial Thermal Stresses in a Laminated Beam,” ASME J. Electronic Packaging, 114, 1992, pp. 193–198.CrossRefGoogle Scholar
  22. 22.
    Yin, W.-L., “Thermal Stresses and Free-edge Effects in Laminated Beams: A Variational Approach Using Stress Functions,” ASME J. Electronic Packaging, 113, 1991, pp. 68–75.CrossRefGoogle Scholar
  23. 23.
    Yin, W.-L., “Free-edge Effects in Laminates Under Extension, Bending and Twisting, Part II: Sublaminate/Layer Modeling and Analysis,” Proc. AIA A/ ASME/ASCE/AHS/ASC 33rd Structures, Structural Dynamics and Materials Conference,April, 1992, Dallas, TX, pp. 48–58.Google Scholar
  24. 24.
    Yin, W.-L., Free-Edge Effects in Laminates Subjected to Hygrothermal Loading. Final Report, Contract NAS1–17925, Task Assignment No. 10, Lockheed Aeronautical Systems Co., Marietta, GA, March 1992.Google Scholar

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© Van Nostrand Reinhold 1993

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  • Wan-Lee Yin

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