Abstract
This paper deals with a new analytical method, the exponential matrix method EMM, for calculating the T-stress and the stress intensity factors SIFs under mixed mode loading. The linear, elastic, two-dimensional and stationary equations of the crack problem are transformed into a Hamiltonian system. This is solved by the proposed method involving eigensolutions which satisfy the adjoint symplectic orthogonality by means of performing an angular stress variation with respect to the radial stress. A good description of the expected solution of the studied problem is then obtained as a linear combination of these eigensolutions. To illustrate the validity of the present method, some numerical examples are used and the results obtained are compared with those of literature.
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