HUANG Jun-jie, Alatancang, WANG Hua. Eigenfunction Expansion Method and Its Application to Two-Dimensional Elasticity Problems Based on Stress Formulation[J]. Applied Mathematics and Mechanics, 2010, 31(8): 992-1000. doi: 10.3879/j.issn.1000-0887.2010.08.012
Citation: HUANG Jun-jie, Alatancang, WANG Hua. Eigenfunction Expansion Method and Its Application to Two-Dimensional Elasticity Problems Based on Stress Formulation[J]. Applied Mathematics and Mechanics, 2010, 31(8): 992-1000. doi: 10.3879/j.issn.1000-0887.2010.08.012

Eigenfunction Expansion Method and Its Application to Two-Dimensional Elasticity Problems Based on Stress Formulation

doi: 10.3879/j.issn.1000-0887.2010.08.012
  • Received Date: 1900-01-01
  • Rev Recd Date: 2010-07-01
  • Publish Date: 2010-08-15
  • Eigen function expansion method of solving two-dmiensional elasticity problems was proposed based on stress formulation. By introducing appropriate state functions, the fundamental system of partial differential equations of the above two-dmien sional problems was rewritten as an upper triangular differential system. For the associated operatorm atrix, the existence and comple teness of two normed or thogonal eigen function systems in some space are obtained, which belong to the two block operators arising in the operator. Moreover, the general solution of the proceeding two-dimensional problem is given by the eigenfunction expansion.
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