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Coupled variational principles and generalized coupled variational principles in photoelasticity

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In this paper, by applying Lagrange multiplier method and high order Lagrange multiplier method [1], we systematically derive coupled potential energy principle, coupled complementary energy principle, and generalized coupled potential energy principles and generalized coupled complementary energy principles with two and three kinds of variables in photoelasticity.

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References

  1. Chien, Weizang, Generalized Variational Principles, Knowledge Publishing House, Shanghai (1985). (in Chinese)

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  2. Fu, Baolian, The variational principles of coupled systems in photoelasticity, Appl. Math. and Mech. 15, 1 (1994), 37–48.

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Communicated by Chien Weizang

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Baolian, F. Coupled variational principles and generalized coupled variational principles in photoelasticity. Appl Math Mech 17, 39–44 (1996). https://doi.org/10.1007/BF00131293

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  • DOI: https://doi.org/10.1007/BF00131293

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