The combined energy variational principles in linear elasticity |
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Authors: | Xie Dingyi |
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Institution: | (1) Wuhan Institute of Hydraulic and Electric Engineering, Wuhan, China |
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Abstract: | In this paper, a new kind of mixed energy variational principles in linear elasticity—the combined energy variational principles
is presented. First, we define the conjugate body of an elastic body, which is obtained by changing the boundary conditions
of the elastic body. Next, we decompose the conjugate body into two component-states, construct functionals of potential energy
and complementary energy, respectively, for the component-states and define the additional hybrid energy between the component-states.
Thus the functionals of combined energy can be constructed. Three typical combined energy variational principles are demonstrated
and the other forms of combined energy variational principles are given. The application of the proposed principles to the
calculation of thin plates with complicated boundaries is shown. |
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Keywords: | conjugate body of an elastic body conjugate state component-state admissible combined state variational principles elasticity |
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