Acta Mechanica Solida Sinica

, Volume 20, Issue 4, pp 324–332 | Cite as

Further studies on Stroh-type formalisms for anisotropic plates with bending-extension coupling

  • Pin Lu
  • HaiBo Chen


Stroh-type formalisms for anisotropic thin plates in literature are reviewed and discussed, and two kinds of hybrid Stroh-type formalisms are compared. It is seen that the two Stroh-type formalisms are essentially equivalent. With simple transfer relations, they can be expressed each other. In addition, with properly defined notation systems, the two Stroh-type formalisms can also be written in unified forms, which will be convenient in applications.

Key words

Stroh formalism anisotropic plate Stroh-type formalism composite laminates 


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  1. [1]
    Ting, T.C.T., Anisotropic Elasticity: Theory and Applications. New York: Oxford University Press, 1996.zbMATHGoogle Scholar
  2. [2]
    Lu, P., Stroh type formalism for unsymmetric laminated plate. Mechanics Research Communications, 1994, 21: 249–254.CrossRefGoogle Scholar
  3. [3]
    Lu, P. and Mahrenholtz, O., Extension of the Stroh formalism to the analysis of bending of anisotropic elastic plates. Journal of the Mechanics and Physics of Solids, 1994, 42: 1725–1749.MathSciNetCrossRefGoogle Scholar
  4. [4]
    Cheng, Z.Q. and Reddy, J.N., Octet formalism for Kirchoff anisotropic plates. Proceedings of the Royal Society A — Mathematical Physical and Engineering Sciences, 2002, A 458: 1499–1517.CrossRefGoogle Scholar
  5. [5]
    Hwu, C., Stroh-like formalism for the coupled stretching-bending analysis of composite laminates. International Journal of Solids and Structures, 2003, 40: 3681–3705.CrossRefGoogle Scholar
  6. [6]
    Lu, P., A Stroh-type formalism for anisotropic plates with bending-extension coupling. Archive of Applied Mechanics, 2004, 73: 690–710.CrossRefGoogle Scholar
  7. [7]
    Lu, P. and Chen, H.B., Singular solutions of anisotropic plate with an elliptical hole or a crack. Acta Mechanica Solida Sinica, 2005, 18: 130–141.Google Scholar
  8. [8]
    Hsieh, M.C. and Hwu, C., Explicit solutions for the coupled stretching-bending problems of holes in composite laminates. International Journal of Solids and Structures, 2003, 40: 3913–3933.CrossRefGoogle Scholar
  9. [9]
    Jones, R.M., Mechanics of Composite Materials. 2nd Edition. Philadelphia: Taylor & Francis, 1999.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  1. 1.CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern MechanicsUniversity of Science and Technology of ChinaHefeiChina
  2. 2.Institute of High Performance ComputingSingaporeSingapore

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