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Variational principle of hybrid energy and the fundamentals of 3-D laminate theory—A new approach for the analysis of interlaminar stresses in composite laminates

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Abstract

This paper discusses the discontinuity of stresses and strains at interlaminar surfaces of the composue laminate and presents a 3-D laminate theory for composite materials. This paper also presents a new type of elastic energy based on the globally continuous variables in laminates, different from the traditional potential energy and complementary energy. Then, a variational principle corresponding to the 3-D laminate theory is developed. The theory and the principle could be a basis of verifying the 2-D laminate theory and determining the interlaminar stresses near the free edges.

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Authors and Affiliations

  1. Concordia University, Montreal, Canada

    Huang Qian

  2. Shanghai University of Technology, China

    Huang Qian

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  1. Huang Qian
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Communicated by Chien, Wei-zang

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Qian, H. Variational principle of hybrid energy and the fundamentals of 3-D laminate theory—A new approach for the analysis of interlaminar stresses in composite laminates. Appl Math Mech 9, 649–657 (1988). https://doi.org/10.1007/BF02465694

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  • DOI: https://doi.org/10.1007/BF02465694

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