Eigenfunction expansion variational method for stress intensity factor and T-stress evaluation of a circular cracked plate

In this paper, the eigenfunction expansion variational method (Abbreviated as EEVM) is developed to solve the T-stress problem of the circular cracked plate. In the traction boundary value problem, EEVM is equivalent to the theorem of least potential energy in elasticity. Therefore, EEVM possesses a clear physical meaning. EEVM does not need any boundary collocation scheme. For the circular cracked plate, the following boundary value problems are solved: (a) with a uniform normal loading on the boundary, (b) with a partial loading on the boundary, (c) under mixed boundary condition. For the circular cracked plate with applied concentrated forces, after using the superposition principle and EEVM, the boundary value problem is solved. In the numerical examples, many computed results for stress intensity factor (SIF) and T-stress are presented. Some of computed results for T-stress are first presented in this paper.