Applied Mathematics and Mechanics

, Volume 15, Issue 1, pp 37–48 | Cite as

The variational principles of coupled systems in photoelasticity

  • Fu Bao-lian


This paper presents an energy principle, zero different principle of coupled systems in photoelasticity, from which the potential energy, the complementary energy, generalized potential energy and generalized complementary energy variational principles of the coupled systems in photoelasticity are derived.

What is called the coupled systems means that two deformational bodies, for which figures, sizes, laods and boundary conditions are the same and they are all in actual states but they are made of different materials.

Prototype body and model body in photoelasticity are essentially the coupled systems, therefore the above principles become the theoretical basis of defining the influence of Poissons ratio v on accuracy of the frozen-stress method.

Key words

photoelasticity coupled systems zero different work principle coupled variational principle 


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  1. [1]
    Chien Wei-zang and Yeh Kai-yuan,Elastic Mechanics, Science Press (1956). (in Chinese)Google Scholar
  2. [2]
    Chien Wei-zang,Generalized Variational Principles, Knowledge Press (1958). (in Chinese)Google Scholar
  3. [3]
    Kyuichiro Washizu,Variational Methods in Elasticity and Plasticity, Pergamon Press (1975).Google Scholar

Copyright information

© SUT 1994

Authors and Affiliations

  • Fu Bao-lian
    • 1
  1. 1.Yanshan UniversityQinhuangdao

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