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Plane elasticity in sectorial domain and the Hamiltonian system

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Abstract

The governing equations of plane elasticity in sectorial domain are derived to be in Hamiltoinan form via variable substitutes and variational principles. The method of separation of variables and eigenfunction expansion method are derive1 to solve the finite element analytically for the sectorial domain elasticity problem, so that such kind of analytical element can be installed into FEM program systems. It demonstrates the potential of the Hamiltonian system theory and symplectic mathematics.

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Authors and Affiliations

  1. Dalian University of Technology, Dalian

    Zhong Wan-xie

Authors
  1. Zhong Wan-xie
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Project supported by the National Natural Science Foundation of China and Doctorial Program Foundation of the National Commission of Education

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Wan-xie, Z. Plane elasticity in sectorial domain and the Hamiltonian system. Appl Math Mech 15, 1113–1123 (1994). https://doi.org/10.1007/BF02451982

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  • DOI: https://doi.org/10.1007/BF02451982

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